A body of mass \( m \) is taken from the earth's surface to the height equal to twice the radius (R) of the earth. The
change in potential energy of body will
be
A. \( 3 m g R \)
B. \( \frac{1}{3} m g R \)
c. \( 2 m g R \)
D. \( \frac{2}{3} m g R \)


For a gas in equilibrium with a liquid, the ratio of the concentration of the gas
in the solution phase to that in the gaseous phase is constant at constant
temperature, only if molecules undergo:
A. ionisation
B. dissociation
c. isolation
D. reaction with solvent


Largest flower belongs to
A. An epiphyte Vanda
B. A parasite Rafflesia
C . A saprophyte Neottia
D. Tree Alnus with symbiotic bacteria


Ethylene oxide when treated with Grignard reagent yields:
A. secondary alcohol
B. tertiary alcohol
c. cyclopropyl alcohol
D. primary alcohol


When the volume of a gas is decreased at
constant temperature the pressure
increases because the molecules
A. strike unit area of the walls of the container more often
B. strike the unit area of the walls of the container with
higher speed
C. strike the unit area of the wall of the container with
lesser speed
D. move with more kinetic energy


A train \( 50 \mathrm{m} \) long passes over a bridge at a constant velocity of \( 30 \mathrm{km} / \mathrm{h} \). If it takes 36 s to cross the bridge, the length of the bridge will be
A. \( 100 \mathrm{m} \)
B. 200 \( \mathrm{m} \)
c. 250 \( \mathrm{m} \)
D. 300 \( \mathrm{m} \)


A body is propelled straight up with an initial velocity of \( 500 \mathrm{ft} / \mathrm{sec} \) in a vacuum with no air resistance. How
long will it take the body to return to the ground (in seconds)?
\( \mathbf{A} \cdot 21.25 \)
B. 31.25
c . 35.25
D. 25.25


In the processing of eukaryotic mRNA,
during protein synthesis, tailing
involves .............. of RNA.
A. Addition of adenylate residues at \( 3^{\prime} \) end
B. Addition of methyl guanosine triphosphate at \( 3^{\prime} \) end
C. Addition of methyl guanosine triphosphate at \( 5^{\prime} \) end
D. Removal of introns


What is a smallest number by which 2560 is to be multiplied so that the product is a perfect cube?


Anthracene contain how many benzene ring in the molecule?
A . 3
B. 4
\( c .5 \)
\( D \)


Compare the stability of +2 oxidation
state for the elements of the first
transition series.


IF \( f(x)=x^{2} \) for \( 0 \leq x \leq 1, \sqrt{x} \) for \( 1 \leq \) \( x \leq 2 \) then \( \int_{0}^{2} f(x) d x= \)
A \( \cdot \frac{4 \sqrt{2}}{3} \)
B. \( \frac{4 \sqrt{2}-1}{3} \)
c. \( \frac{\sqrt{2}}{3} \)
D.


Statement 1: A large number of alpha particles were deflected in the Rutherford experiment. Statement 2: Alpha particles that came close to the nucleus of the gold atoms
were deflected.
A. Both Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement 1
B. Both Statement 1 and Statement 2 are correct and Statement 2 is not the correct explanation of Statement 1.
c. statement 1 is correct but statement 2 is not correct
D. Statement 1 is not correct but Statement 2 is correct
E. Both the Statement 1 and Statement 2 are not correct


Which of the following will act as
anodes when connected to standard
hydrogen electrode?
This question has multiple correct options
\( \mathbf{A} \cdot A l / A l^{3+} ; \quad E^{-}=-1.66 \)
\( \mathbf{B} \cdot F e / F e^{2+} ; \quad E^{-}=-0.44 \)
\( \mathbf{c} \cdot C u / C u^{2+} ; \quad E^{-}=+0.34 \)
D \( \cdot F_{2}(g) / 2 F^{-}(a q) ; \quad E^{-}=+2.87 \)


Internal energy does not include
A. vibrational energy
B. rotational energy
C . energy arising by gravitational pull
D. nuclear energy


A car is moving on a circular level road of curvature \( 300 m \). If the coefficient of
friction is 0.3 and acceleration due to
gravity is \( 10 m / s^{2}, \) the maximum speed
of the car can be
A. \( 90 \mathrm{km} / \mathrm{h} \)
B. \( 81 \mathrm{km} / \mathrm{h} \)
\( c \cdot 108 \mathrm{km} / \mathrm{h} \)
D. \( 162 \mathrm{km} / \mathrm{h} \)


\( \ln \triangle P Q R, \angle P \) is right angle. \( A, B \) are
mid points of \( \boldsymbol{R} \boldsymbol{P} \) and \( \boldsymbol{R} \boldsymbol{Q} \)
\( \boldsymbol{R} \boldsymbol{P}=\boldsymbol{3}, \boldsymbol{R} \boldsymbol{Q}=\mathbf{5} . \) Find length of \( \boldsymbol{A} \boldsymbol{B} \)
4
3
\( c .3 \)
\( D \)


A circular loop of radius \( 1 \mathrm{m} \) is kept in a magnetic field of strength 2 T directed
perpendicular to the plane of loop.
Resistance of the loop wire is \( 2 \mathrm{m} . \mathrm{A} \)
conductor of length \( 2 \mathrm{m} \) is sliding with a speed \( 1 \mathrm{m} / \mathrm{s} \) as shown in the figure. Find
the instantaneous force acting on the rod [Assume that the rod has negligible resistance]
\( A \cdot 8 N \)
B. 16 N
\( c .24 \mathrm{N} \)
D. 32


An electric dipole placed with its axis in the direction of a uniform electric field experiences:
\( A \). a force but not torque
B. a torque but no force
c. a force as well as a torque
D. neither a force nor a torque


A radioactive atom ' \( X^{\prime} \) emits a \( \beta- \)
particle to produce an atom ' \( Y \) ' which
then emits an \( \alpha \) -particle to given an
\( \operatorname{atom}^{\prime} Z^{\prime}: \)
(1) The atomic number of ' \( X^{\prime} \) is less
than that of \( ^{\prime} Z^{\prime} \)
(2) The atomic number of ' \( Y \) ' is less
than that of \( ^{\prime} Z^{\prime} \)
(3) The mass number of ' \( X^{\prime} \) is same as
that of ' \( Y \)
A. 1,2 and 3 are correct
B. 1 and 2 are correct
c. 2 and 3 are correct
D. 3 is correct


We define p value of a term (say \( x \) ) as
\( \boldsymbol{p}_{\boldsymbol{x}}=-\log \boldsymbol{x} \)
Calculate the value of \( 1000 p \) for \( N O_{3} \) in a solution that is \( 4.78 \times 10^{-2} \mathrm{M} \) in
\( \boldsymbol{C u}\left(\boldsymbol{N} \boldsymbol{O}_{3}\right)_{2} \) and \( \boldsymbol{0 . 1 0 4} \boldsymbol{M} \) in \( \boldsymbol{Z} \boldsymbol{n}\left(\boldsymbol{N} \boldsymbol{O}_{3}\right)_{2} \)


A bicycle wheel makes four and half turns, then the number of right angles through which it turns is
A . 16
B. 18
c. 20
D. 8


\( 5 \mathrm{kg} \) of water at \( 10^{\circ} \mathrm{C} \) is added to \( 10 \mathrm{kg} \)
of water at \( 40^{\circ} \mathrm{C} \) Neglecting heat
capacity or vessel and other losses, the equilibrium temperature will be
A \( \cdot 30^{\circ} \mathrm{C} \)
B . \( 25^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 35^{\circ} C \)
D. \( 33^{\circ} \mathrm{C} \)


Soil erosion can be prevented by
A. Terrace farming
B. Intensive cropping
c. Deforestation
D. Both A and B


Which is true for an element R present in III A group of the periodic table?
A . It forms halide of type \( R X_{3} \)
B. It has oxidation state of +3
c. It forms oxide of type \( R_{2} O_{3} \)
D. .All the above


If \( A, B \) are acute angles, \( \sin A= \) \( \frac{4}{5}, \tan B=\frac{5}{12} \) then \( \sin (A+B)= \)
A \( \cdot \frac{36}{65} \)
в. \( \frac{65}{56} \)
c. \( \frac{65}{63} \)
D. \( \frac{63}{65} \)


The potential at 0 is :
A. zero
В \( \cdot \frac{q}{4 \pi \epsilon_{0}}\left[\frac{1}{r}-\frac{1}{R_{1}}+\frac{1}{R_{2}}\right] \)
\( ^{\mathbf{C}} \cdot \frac{q}{4 \pi \epsilon_{0}}\left[\frac{1}{r}-\frac{1}{R_{1}}\right] \)
D. None of these


Measurement can be accurate without
being precise. True=1, false = 0


The population of a is town is \( 64,000 . \) If the annual birth rate is \( 10.7 \% \) and the
annual death rate is \( 3.2 . \) Calculate the
population after three years.
\( \mathbf{A} \cdot 79507 \)
B. 79000
c. 79500
D. 79510


Coronary artery supplies blood to
A. Mammary glands
B. Rib muscles
\( c . \) skin
D. Heart


\( \boldsymbol{R}-\boldsymbol{O H} \stackrel{\boldsymbol{P B r}_{3}}{\boldsymbol{A}} \)
\( \boldsymbol{B} \stackrel{\boldsymbol{H C H O}}{\longrightarrow} \boldsymbol{C} \stackrel{\boldsymbol{H}^{+} / \boldsymbol{H}_{2} \boldsymbol{O}}{\longrightarrow} \boldsymbol{D} \)
What are \( A, B, C \& D \) respectively?
\( \mathbf{A} \cdot R-B r, R-B r-M g, R-C H_{2} M g-B r, R- \)
\( C H_{2} C H O \)
B . \( R-B r, R-M g-B r, R-C H_{2}-O-M g-B r, R- \)
\( C H_{2} C H O \)
\( \mathbf{c} \cdot R-B r, R-M g-B r, R-C H_{2}-O-M g-B r, R- \)
\( C H_{2} O H \)
D. \( R-B r, R-M g-B r, R-C H_{2}-B r, R-C H_{2} O H \)


Soil is a mixture of
A. Sand and clay
B. Sand and humus
C. Clay and humus
D. Sand,clay and humus


Which of the following complex will show optical activity?
A \( \cdot \operatorname{trans}-\left[\operatorname{Co}\left(N H_{3}\right)_{4} C l_{2}\right]^{+} \)
B . \( \left[\operatorname{Cr}\left(\text { H }_{2} \text { O }\right)_{6}\right]^{3+} \)
c. \( \operatorname{cis}-\left[\operatorname{Co}\left(N H_{3}\right)_{2}(e n) 2\right]^{3} \)
D. \( \operatorname{trans}-\left[\operatorname{Co}\left(N H_{3}\right)_{2}(e n)_{2}\right]^{3+} \)


Breakdown of proton gradient leads to release of


The fourth term of an arithmetic
progression is \( 4 . \) At what value of the difference of the progression is the sum of the pairwise products of the first three terms of the progression the least?


Assertion
Hydrogen is highly inflammable.
Reason
It burns with popping sound.
A. Both Assertion and Reason are correct and Reason is
the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect


Expand \( \left(x^{2}+\frac{3}{x}\right)^{4} \)


Four large metal plates are given charges as shown in figure. The middle
two are then connected through a wire. Find the charge that will flow through
the wire:
A. \( 5 Q \) from A to B
B. \( \frac{5 Q}{2} \) from A to B
c. \( 5 Q \) from \( B \) to \( A \)
D. No charge will flow


An iron ball of mass \( 0.2 k g \) is heated to
\( 100^{\circ} \mathrm{C} . \) When it is put in ice block at
\( 0^{0} C, 25 g \) of ice is melted. The specific
heat of iron in CGS units :
\( A \)
B. 0.1
c. 0.8
D. 0.08


If \( \int \boldsymbol{f}(\boldsymbol{x}) \boldsymbol{d} \boldsymbol{x}=\boldsymbol{f}(\boldsymbol{x}), \) then \( \int\{\boldsymbol{f}(\boldsymbol{x})\}^{2} \boldsymbol{d} \boldsymbol{x} \)
is equal to
A \( \cdot \frac{1}{2}\{f(x)\}^{2} \)
в. \( \{f(x)\}^{3} \)
c. \( \frac{|f(x)|^{3}}{3} \)
D \cdot \( \{f(x)\}^{2} \)


A beam of cathode rays is subjected to crossed.Electric (E) and Magnetic fields
(B). The fields are adjusted such that the beam is not deflected.The specific
charge of the cathode rays is given by -
(where \( V \) is the potential difference between cathode and anode)
A \( \cdot \frac{B^{2}}{2 V E^{2}} \)
B. \( \frac{2 V B^{2}}{E^{2}} \)
\( ^{\mathbf{C}} \cdot \frac{2 V E^{2}}{B^{2}} \)
D. \( \frac{E^{2}}{2 V B^{2}} \)


Below is given frequency distribution of no. of packages received at a post office
per day.
20 \( \quad 30 \) No. of packages २० 30
No. of
\[
2
\]
8
\( 16 \quad 24 \)
days
Find modal number of packages received by the post office per day.
A. 53.75
B. 55.75
c. 57.25
D. None of these


A tank \( 5 m \) high is half filled with water and then is filled to the top with oil of
density \( 0.85 g / c m^{3} . \) The pressure at the bottom of the tank, due to these
liquids is
\( \mathbf{A} \cdot 1.85 g / \mathrm{cm}^{2} \)
B. \( 89.25 g / c m^{2} \)
c. \( 462.5 g / c m^{2} \)
\( \mathbf{D} \cdot 500 g / c m^{2} \)


The electric current in a circuit is given by \( i=\frac{i_{0} t}{\tau} \) for some time. The rms
current for the period \( t=0 \) to \( t=\tau \) will
be
\( \mathbf{A} \cdot i_{0} \sqrt{\frac{T}{3}} \)
B. \( \frac{i_{0}}{\sqrt{3}} \)
\( c \cdot \frac{i_{0}}{2} \)
D. \( \frac{i_{0}}{3} \)


The angle between lines joining the original to the point of intersection of the line \( \sqrt{\mathbf{3}} x+\boldsymbol{y}=\mathbf{2} \) and the curve
\( y^{2}-x^{2}=4 \) is
A \( \cdot \tan ^{-1} \frac{2}{\sqrt{3}} \)
B. \( \frac{\pi}{6} \)
\( ^{\mathrm{c}} \tan ^{-1}\left(\frac{\sqrt{3}}{2}\right) \)
D. \( \frac{\pi}{2} \)


Water transport from roots to leaves is explained by
A. The pressure flow theory
B. Differences in source and sink solute concentrations
c. The pumping force of xylem vessels
D. The cohesion-tension theory


What is the minimum and maximum
distance between the convex lens and
the object for the magnification of a real image to be greater than \( 1 . ? \)
A. o and f
B. \( f \) and \( 2 f \)
\( c \cdot f \) and \( \infty \)
\( D \cdot 2 f \) and \( \infty \)


Three identical small balls, each of
mass \( 0.1 \mathrm{g}, \) are suspended at one point on silk thread having a length of \( 1= \) 20cm. What charges should be imparted to the balls for each thread to
form an angle of \( \alpha=30^{\circ} \) with the
vertical?


A particle of mass \( 1 g \) moving with a velocity \( \vec{v}_{1}=3 \hat{i}-2 \hat{j} m s^{-1} \) experiences
a perfectly in elastic collision with another particle of mass \( 2 g \) and velocity \( \vec{v}_{2}=4 \hat{j}-6 \hat{k} m s^{-1} . \) The velocity
of the particle is:
\( \mathbf{A} \cdot 2.3 \mathrm{ms}^{-1} \)
B . \( 4.6 \mathrm{ms}^{-1} \)
c. \( 9.2 \mathrm{ms}^{-1} \)
D. \( 6 m s^{-1} \)


A person looks into a spherical mirror. The size of image of his face is twice the actual size of his face. If the face is at a
distance \( 20 \mathrm{cm} \) then find the nature of
radius of curvature of the mirror.


In the extraction of silver by Mac-Arther cyanide process, a small amount of
\( K N O_{3} \) is also added as flux. The
function of \( \boldsymbol{K} \boldsymbol{N} \boldsymbol{O}_{3} \) is:
A \( \cdot \) to oxidise \( A g \) in the native from to \( A g^{-} \)
B. to oxidise lead and zinc impurities
c. to form a complex with \( A g^{+} \) which is then reduced to metallic silver by using zinç
D. to oxidise the sulphur in the argentite ore to \( S O_{2} \) which escapes from the reaction


The value of
\( \int \frac{\boldsymbol{d} \boldsymbol{x}}{(\boldsymbol{x}-\boldsymbol{\beta}) \sqrt{(\boldsymbol{x}-\boldsymbol{\alpha})(\boldsymbol{\beta}-\boldsymbol{x})}}, \) is equal to
\( ^{\text {A }} \frac{-1}{\beta-\alpha} \sqrt{\frac{x-\alpha}{\beta-x}}+C \)
в. \( \frac{1}{\beta-\alpha} \sqrt{\frac{x-\alpha}{\beta-x}}+C \)
c. \( \frac{2}{\alpha-\beta} \sqrt{\frac{x-\alpha}{\beta-x}}+C \)
D. none of these


In which of the following disease, alveoli are deprived of oxygen due to flattening of tracheal vessels?
A. Bronchitis
B. Asthma
c. Pneumonia
D. Emphysema


Which of the following does not give ppt with \( \boldsymbol{C r} \boldsymbol{O}_{4}^{-2} \)
A \( \cdot C a^{+} \)
B. \( S r^{+} \)
\( c \cdot P b^{+2} \)
D. \( B a^{+2} \)


A homogeneous ball (mass \( =\boldsymbol{m} \) ) of
ideal black material at rest is
illuminated with a radiation having a set of photons (wavelength \( =\lambda \) ), each
with the same momentum and the
same energy. The rate at which photons fall on the ball is n. The linear
acceleration of the ball is:
\( A \cdot m \lambda / n h \)
B. \( n h / m \lambda \)
c. \( n h /(2 \pi)(m \lambda) \)
D. \( 2 p m \lambda / n h \)


A tank is filled with water up to height
H. Water is allowed to come out of a hole
Pin one of the walls at a depth D below the surface of water as shown in the
figure. Express the horizontal distance
in terms of H and D:
A. \( x=\sqrt{D(H-D)} \)
B. \( x=\sqrt{\frac{D(H-D)}{2}} \)
c. \( x=2 \sqrt{D(H-D)} \)
D. \( x=4 \sqrt{D(H-D)} \)


The critical mass of fissionable
material is
A. \( 75 \mathrm{kg} \)
в. \( 1 \mathrm{kg} \)
c. \( 20 \mathrm{kg} \)
D. \( 10 \mathrm{kg} \)


\( f^{n} C_{15}=^{n} C_{8}, \) then the value of \( ^{n} C_{21} \) is
A .254
в. 250
c. 253
D. None of these


If \( \overrightarrow{\boldsymbol{A}}=\mathbf{5} \hat{\boldsymbol{i}}+\mathbf{7} \hat{\boldsymbol{j}}-\boldsymbol{3} \hat{\boldsymbol{k}} \) and \( \overrightarrow{\boldsymbol{B}}=\mathbf{1 5} \hat{\boldsymbol{i}}+ \)
\( 21 \hat{j}+a \hat{k} \) are parallel vectors then the
value of \( \boldsymbol{a} \) is:
\( A \cdot-3 \)
B. 9
\( c \cdot-9 \)
D. 3


An object is kept in front of three mutually perpendicular mirrors. Then the total number of images is.


How much time does it take to go from the ground to its highest point?


The value of \( ^{10} \boldsymbol{C}_{4}+^{9} \boldsymbol{C}_{4}+^{8} \boldsymbol{C}_{4}+\ldots+^{5} \)
\( C_{4} \) is \( -\dots \)
A. \( 11 C_{5} \)
B. \( ^{11} C_{4} \)
c. \( ^{11} C_{7} \)
D. \( ^{11} C_{5}-1 \)


Out of the following equations which is
WRONG?
A \( \cdot \vec{\tau}=\vec{r} \times \vec{F} \)
B . \( \vec{a} r=\vec{\omega} \times \vec{v} \)
c. \( \vec{a} t=\vec{\alpha} \times \vec{r} \)
\( \mathbf{D} \cdot \vec{v}=\vec{r} \times \vec{\omega} \)


If \( f(x)=\int_{0}^{x} t(\sin x-\sin t) d t \) then?
A \( \cdot f^{\prime \prime \prime}(x)+f^{\prime}(x)=\cos x-2 x \sin x \)
B . \( f^{\prime \prime \prime}(x)+f^{\prime \prime}(x)-f^{\prime}(x)=\cos x \)
C. \( f^{\prime \prime \prime}(x)-f^{\prime \prime}(x)=\cos x-2 x \sin x \)
D. \( f^{\prime \prime \prime}(x)+f^{\prime \prime}(x)=\sin x \)


What is correct about the above two
molecules?
and
A. Enantiomers
B. Diastereomers
c. configurational isomers
D. Identical


Which of the following is an estimated length of linker DNA?
\( A \cdot 60 \mathrm{bp} \)
B. 80 bp
\( c .20 \mathrm{bp} \)
D. None of the above


The solution of \( \frac{d y}{d x}=e^{(y-x)} \) is
A \( \cdot e^{y}+e^{x}=c \)
B . \( e^{-x}=e^{-y}+c \)
c. \( e^{y-x}=c \)
D \( \cdot e^{y / x}=c \)


Evaluate
\( \int \frac{x^{3}+4 x^{2}-7 x+5}{x+2} d x \)


Vascular cambium forms xylem on
inner side and phloem on outer side due
to.
A. Effect of gravity
B. Shearing force of wind
c. Intrafascicular nature
D. Differential action of hormones


Draw a ray diagram to show the formation of image by a convex lens when an object is placed in front of the lens between its optical centre and principal focus.


A particle is performing oscillations with acceleration \( a=8 \pi^{2}-4 \pi^{2} x \)
where \( x \) is coordinate of the particle
w.r.t. the origin. The parameters are in
S.I. units. The particle is at rest at \( x=2 \) at \( t=0 . \) Find coordinates of the particle
w.r.t origin at any time.
A \( .4-2 \cos 2 \pi t \)
B. \( 2-2 \cos 2 \pi t \)
c. \( 4-4 \cos 2 \pi t \)
D. \( 2+4 \sin 2 \pi t \)


Draw the circuit diagram of a meter bridge to explain how it is based on
Wheatstone bridge.


Due to earth's magnetic field charged
cosmic rays; particle
A. Requires more K.E to reach the equator than the pole
B. Requires less K.E to reach the equator than the pole
C. Can never reach the pole
D. Can never reach equator


Which of the following statements
regarding halogens is not true?
A. Halogens act as strong oxidizing agents
B. Fluorine oxidizes water to oxygen and ozone
C. Chlorine oxidizes water to oxygen
D. Bromine disproportionates in water producing the reaction \( B r_{2}+H_{2} O \rightarrow H B r+H O B r \)


The distance of the point \( \left(x_{1}, y_{1}\right) \) from
the origin
A \( \cdot x_{1}^{2}+y_{1}^{2} \)
B. \( \sqrt{x_{1}^{2}+y_{1}^{2}} \)
c. \( \frac{1}{\sqrt{x_{1}^{2}+y_{1}^{2}}} \)
D. \( \frac{1}{x_{1}^{2}+y_{2}^{2}} \)


The points \( (10,7,0),(6,6-1) \) and
(6,9,-4) form a
A. Right -angled triangle
B. Isosceles triangle
\( c \cdot \) Both (1)\( \&(2) \)
D. Equilateral triangle


In young dicot stem, cambium is
A. single layered
B. Double layered
c. Multilayered
D. Absent


Potassium manganate \( \left(\mathrm{K}_{2} \mathrm{MnO}_{4}\right) \) is
formed. When :
This question has multiple correct options
A. cuprous oxide reacts with alkaline \( \mathrm{KMnO}_{4} \) solution
B. manganese dioxide is fused with \( \mathrm{K}_{2} \mathrm{CO}_{3} \) in presence of
\( \mathrm{KNO}_{3} \)
C. formaldehyde reacts with potassium permanganate in presence of concentrated potassium hydroxide solution
D. potassium permanganate is heated with potassium hydroxide


If \( \alpha, \beta \) are the roots of the equation \( x^{2}- \)
\( 4 x+\lambda=0 \) and \( \gamma, \delta \) are the roots of the
equation \( \boldsymbol{x}^{2}-\mathbf{6 4} \boldsymbol{x}+\boldsymbol{\mu}=\mathbf{0} \) and \( \boldsymbol{\alpha}, \boldsymbol{\beta}, \boldsymbol{\gamma}, \boldsymbol{\delta} \)
are given to be in increasing G.P. The value of \( \mu / \lambda \) be \( 2^{k} . \) Find \( k ? \)


2 years ago, the addition of ages of father-mother and their two daughters was 40 years. After 3 years the addition of their ages will be
A . 40
B. 46
c. 50
D. 60


Find \( \frac{d y}{d x}, \) if \( 2 x+3 y=\sin x \)


which of the following function(s) is/are Transcendental?
This question has multiple correct options
\( \mathbf{A} \cdot f(x)=5 \sin \sqrt{x} \)
B. \( f(x)=\frac{2 \sin 3 x}{x^{2}+2 x-1} \)
C. \( f(x)=\sqrt{x^{2}+2 x-1} \)
D. \( f(x)=\left(x^{2}+3\right) 2^{x} \)


If \( \alpha \) and \( \beta \) are roots of equation
\( \frac{3}{4} \sin \left(\frac{\theta}{9}\right)=\sin ^{3} \theta+3 \sin ^{3}\left(\frac{\theta}{3}\right)+ \)
\( 9 \sin ^{3}\left(\frac{\theta}{9}\right)+\frac{1}{4 \sqrt{2}} \) for \( 0<\theta<\frac{\pi}{2} \) then
\( \tan \alpha+\tan \beta \) is equal to
A \( .2+\sqrt{3} \)
B. \( 3+\sqrt{3} \)
c. \( 3-\sqrt{3} \)
D. \( 2-\sqrt{3} \)


A glass marble dropped from a certain height above the horizontal surface reaches the surface in time \( t \) and then
continues to bounce up and down. The time in which the marble finally comes to rest will be (coefficient of restitution
is \( e \) ):
A \( \cdot e^{n} t \)
B \( \cdot e^{2} t \)
\( ^{\mathbf{c}} \cdot t\left[\frac{1+e}{1-e}\right] \)
D. \( t\left[\frac{1-e}{1+e}\right] \)


Draw the diagram showing micelle formation by the following detergent.
\( \boldsymbol{C H}_{3}\left(\boldsymbol{C H}_{2}\right)_{10} \boldsymbol{C H}_{2} \boldsymbol{O} \boldsymbol{S} \overline{\boldsymbol{O}}_{3} \boldsymbol{N} \boldsymbol{a} \)


The sum of any two sides of a triangle is
than the third side.


A bird files for 4 s with a velocity of \( \mid t- \) \( 2 \mid m / s \) in a straight line, where \( t \) is time
in seconds. It covers a distance of:
A. 2 m
B. 4 m
\( c \cdot 6 m \)
D. om


Bactericidal antibiotic among the following is:
A. Tetracycline
B. Ofloxacin
c. chloramphenicol
D. Erythromycin


Arrange the following compounds in decreasing order of their heats of combustion:
\( A \cdot(\text { iii) }>(\text { ii })>(i) \)
B. (ii) > (i) > (iii)
c. (iii) > (i) > (ii)
D. (i) > (ii) > (iii)


Which of the following is having highest heat of hydrogenation?


In the process shown in figure, the
internal energy of an ideal gas decreases by \( \frac{3 P_{0} V_{0}}{2} \) in going point \( C \) to
A. Heat transfer along the process CA is
A. \( -3 P_{0} V_{0} \)
B. \( \frac{-5 P_{0} V_{0}}{2} \)
\( c \cdot \frac{-3 P_{0} V_{0}}{2} \)
\( D \)


Which of the following is not hygroscopic?
A. \( \mathrm{NaCl} \)
в. \( \mathrm{MgCl}_{2} \)
c. \( \mathrm{caCl}_{2} \)
D. LiCl


As compared to mitosis, meiosis has
A. No telophase
B. Exchange of chromatid segments
C. Duplication of chromosomes during anaphase
D. Daughter cells similar to parent cells


A sequence in which the difference between any two consecutive terms is a constant is called as
A. G.P
B. A.P.
c. н.P
D. A.G.P


If in a transformer the number of turns
of primary coil and secondary coil are 5 and 4 respectively and \( 240 \mathrm{V} \) is applied to primary coil, then the ratio of current
in primary and secondary coil is
A .4: 5
B. 5: 4
\( c \cdot 5: 10 \)
D. 8: 12


Find the gravitational force between two atoms in a hydrogen molecule. Given that \( G=6.67 \times 10^{-11} N m^{2} k g^{-2} \) and
mass of hydrogen atom \( 1.67 \times 10^{-27} k g \)
and the distance between the two
atoms1 \( ^{\circ} A . \) The answer is \( 1.86 \times \)
\( 10^{-x y} N \) then \( x+y= \)


Figure given below shows three possibilities for the potential at two
points, \( A \) and \( B \)
In each case, the same positive charge
is moved from \( A \) to \( B \). The work done in
the positive case will be maximum is:-
\begin{tabular}{|cc|cc|cc|}
\hline \( \mathbf{A} \) & \( \mathbf{B} \) & \( \mathbf{A} \) & \( \mathbf{B} \) & \( \mathbf{A} \) & \( \mathbf{B} \) \\
\( \mathbf{1 5 0} \mathbf{~ V} \) & \( \mathbf{5 0} \mathbf{~ V} \) & \( \mathbf{4 0} \) & \( \mathbf{0} \) & \( \mathbf{- 4 0} \mathbf{V} \) & \( -\mathbf{2 0} \mathbf{V} \) & \( \mathbf{- 8 0} \mathbf{~ V} \) \\
\( \mathbf{~ C a s e - 1} \) & & \( \mathbf{C a s e -} \mathbf{2} \) & & \( \mathbf{C a s e}-\mathbf{3} \) \\
\hline
\end{tabular}
A. case
B. Case 2
c. case 3
D. In all three cases


A rectangular coil of single turn, having
area \( A, \) rotates in a uniform magnetic
field B with an angular velocity \( \omega \) about an axis perpendicular to the field. If
initially the plane of the coil is perpendicular to the field, then the average induced emf when it has
rotated through \( 90^{\circ} \) is:
\( \mathbf{A} \cdot \frac{\omega B A}{\pi} \)
в. \( \frac{\omega B A}{2 \pi} \)
c. \( \frac{\omega B A}{4 \pi} \)
D. \( \frac{2 \omega B A}{\pi} \)


The displacement of a particle along the
\( x \) -axis is given by \( x=a \sin ^{2} t . \) The motion
of the particle corresponds to
A. simple harmonic motion of frequency \( \omega / \pi \)
B. simple harmonic motion of frequency 3 \( \omega / 2 \pi \)
c. non simple harmonic motion
D. simple harmonic motion of frequency \( \omega / 2 \pi \)


defined by \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left\{\begin{array}{l}k-2 x, \text { if } x \leq 1 \\ 2 x+3, \text { if } x>-1\end{array}\right\} \), if has a loca
minimum at \( x=-1, \) then a pair


What is the voltage of the voltaic cell \( Z n\left|Z n^{2+}\right|\left|C u^{2+}\right| C u \) at \( 298 K \) if
\( \left[Z n^{2+}\right]=0.2 M \) and \( \left[C u^{2+}\right]=4.0 M ? \)
\( \boldsymbol{C u}^{2+}+\boldsymbol{2} \boldsymbol{e}^{-} \rightarrow \boldsymbol{C u} \boldsymbol{E}^{\circ}=+\mathbf{0 . 3 4} \boldsymbol{V} \)
\( Z n^{2+}+2 e^{-} \rightarrow Z n E^{\circ}=-0.76 V \)
\( \left[\text { Note }: \boldsymbol{E}=\boldsymbol{E}^{\circ}-(\mathbf{0 . 0 5 9 1} / \boldsymbol{n})(\log \boldsymbol{Q})\right. \)
A. \( +1.10 V \)
в. \( -1.10 \mathrm{V} \)
c. \( +1.07 V \)
D. \( +1.14 V \)
E . \( -1.07 \mathrm{V} \)


An object takes \( 5 s \) to reach the ground
from a height of \( 5 m \) on a planet. What is
the value of \( g \) on the planet?


Fill in the blanks with approriate words. Sound is produced by vibrations of located in the


The number of ways in which 20
different white balls and 19 different
black balls be arranged in a row. So that no two balls of the same colour come
together is
A \( \cdot 20 !^{2} 1 P_{19} \)
B . \( 20 ! \times 19 ! \)
c. \( (20 !)^{2} \)
D. \( (21) !^{120} C_{19} \)


言


Assertion
In the siphon shown in figure, pressure
at \( P \) is equal to atmospheric pressure.
Reason

Pressure at \( Q \) is atmospheric pressure
and points \( \mathrm{P} \) and \( \mathrm{Q} \) are at same levels.
A. Both Assertion and Reason are correct and Reason is
the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect


Which characteristic is not the
adaptation of animals to protect themselves from extremely cold
weather?
A. A thick coat of furr
B. A thick layer of fat
c. A thin layer of hair
D. Hibernation


Which substance has the lowest boiling
point?
A \( \cdot C H_{3} C H_{2} C H_{2} C H_{2} O C H_{3} \)
в. \( C H_{3} C H_{2} O C H_{2} C H_{3} \)
\( \mathbf{c} \cdot C H_{3} C H_{2} C H_{2} C H_{3} \)
D. \( C H_{3} C H_{2} C=O C H_{3} \)


One mole of nitrogen and three moles of hydrogen are mixed in a 4 litre container. If 0.25 percent of nitrogen is converted to ammonia by the following reaction
\( N_{2}(g)+3 H_{2}(g) \rightleftharpoons 2 N H_{3}(g) \)
What will be the value of \( K \) for the
following equilibrium? \( \frac{1}{2} N_{2}(g)+\frac{3}{2} H_{2}(g) \rightleftharpoons N H_{3}(g) \)
A \( \cdot 1.49 \times 10^{-5} L \) mol \( ^{-1} \)
В . \( 2.22 \times 10^{-10} L \) mol \( ^{-1} \)
D. None of these


Addition of nitric acid to acidified
FeSO serves as a test for the former
gives:
A. ferrous sulphate solution (brown black)
B. ferrous sulphate solution (brown)
c. ferrous sulphate solution (black)
D. ferrous sulphate solution (green)


Molecular formula of ethanol is ?
\( \mathbf{A} \cdot C H_{3} O H \)
в. \( C_{2} H_{4}(O H)_{2} \)
c. \( C_{2} H_{5} O H \)
D. \( H C H O \)


\( \sin ^{-1}(1-x)-2 \sin ^{-1} x=\frac{\pi}{2}, \) then \( x \) is
equal to:


Forth floatation process of
concentration is based on the:
A. preferential wetting properties with the frothing agent and water
B. difference in the specific gravities of gangue and ore particles
C. difference in solubility of ganaue and ore particles in frothing agent and water
D. difference in reactivity of gangue and ore particles with water and frothing agent.


Formation of a solution from two
components can be considered as
(i) Pure solvent \( \rightarrow \) separated solute
molecules, \( \triangle \boldsymbol{H}_{1} \)
(ii) Pure solute \( \rightarrow \) separated solute
molecules, \( \triangle \boldsymbol{H}_{2} \)
solution so formed will be ideal if
(iii) Separated solvent and solute
molecules \( \rightarrow \) solution, \( \triangle \boldsymbol{H}_{3} \)
Then:
\( \mathbf{A} \cdot \Delta H_{s o l n}=\Delta H_{1}+\Delta H_{2}+\Delta H_{3} \)
B. \( \triangle H_{\text {soln}}=\Delta H_{1}+\triangle H_{2}-\triangle H_{3} \)
C . \( \triangle H_{\text {soln}}=\Delta H_{1}-\triangle H_{2}-\triangle H_{3} \)
D. \( \triangle H_{\text {soln}}=\Delta H_{3}-\triangle H_{1}-\triangle H_{2} \)


Three concurrent co-planer forces \( 1 \mathrm{N}, 2 \mathrm{N} \) and \( 3 \mathrm{N} \) acting along different directions on a body.
A. Can keep the body in equilibrium if \( 2 \mathrm{N} \) and \( 3 \mathrm{N} \) act at right angle
B. Can keep the body in equilibrium if \( 1 \mathrm{N} \) and \( 2 \mathrm{N} \) act at right angle
c. can keep the body in the equilibrium.
D. Can keep the body in equilibrium if \( 1 \mathrm{N} \) and \( 3 \mathrm{N} \) act at an acute angle


If \( 2,5, p \) are in \( A P \) find \( p \)
A. 6
B. 8
c. 10
D. None of these


Which of the following shows that metabolic energy is required in the absorption of ions
A. More ions absorption in presence of oxygen
B. Less absorption of ions in presence of oxygen
C. More ions absorption in presence of ATP
D. More ions absorption in presence of NAD


Give a simple chemical test to distinguish between Aniline and \( \mathrm{N}, \mathrm{N} \) dimethylaniline


What is the ratio of wavelength of radiations emitted, when an electron in
hydrogen atom jumps from fourth orbit to second orbit and from third orbit to
second orbit?
A . 27 : 25
B. 20:27
c. 20: 25
D. 25 : 27


A \( 5 c m \) long solenoid having 10 ohm
resistance and \( 5 m H \) inductance is
joined to a \( 10 V \) battery. At steady state, the current through the solenoid (in ampere) will be
\( \mathbf{A} \cdot \mathbf{5} \)
B . 2
\( c . \)
D. zero


Reduction never involves:
A. Gain of electrons
B. Decrease in oxidation number
C. Loss of electrons
D. Decrease in valency of electropositive component


Agar-agar is produced by
A. Fungi
B. Algae
c. Bacteria
D. Blue-green algae


Release valve is seen in:
A. Hydraulic brakes
B. Hydraulic jack
c. Hydraulic press
D. All


What would be the phase called if Moon
is seen in the sky as shown in the
figure?
A. Waxing Gibbous
B. First Quarter
c. Full Moon
D. New Moon


Express a in terms of b if the function defined by \( \boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{ll}\boldsymbol{a} \boldsymbol{x}+\mathbf{1} & , \boldsymbol{x} \leq \mathbf{3} \\ \boldsymbol{b} \boldsymbol{x}+\mathbf{3} & \boldsymbol{x}>\mathbf{3}\end{array}\right\} \)
is continuous at \( x=3 \)


4- pentenoic acid when treated with \( I_{2} \)
and \( N a H C O_{3} \) gives:
A. 4,5 -diiodopentanoic acid
B. 5 - idomethyl - dihydrofuran -2-one
c. 5-iodo tetrahydropyran-2-one
D. 4-pentenolyiodide


Determine the ratio in which the point \( P(3,5) \) divides the join of \( A(1,3) \& \)
\( \boldsymbol{B}(\mathbf{7}, \mathbf{9}) \)


Starch is composed of two polysaccharides which are:
A. amylopectin and glycogen.
B. amylose and glycogen.
c. amylose and amylopectin.
D. cellulose and glycogen.


An element \( X \) of group 15 exists as diatomic molecule and combines with
hydrogen at \( 773 \mathrm{K} \) in presence of the catalyst to form a compound, ammonia which has a characteristic pungent
smell. The element X is :
A. nitrogen
B. oxygen
c. phosphorous
D. sulphur


Define an ideal solution and write one of
its characteristics.


What is D?


What happens when dil. hydrochloric acid is added to iron filings?
A. Hydrogen gas and iron chloride are produced
B. Chlorine gas and iron hydroxide are produced
c. No reaction takes place
D. Iron salt and water are produced


toppr
Q Type your question
flowers and fruits, and it plays a major role in fruit ripening, flowering and abscission (the natural shedding of leaves, flowers and fruits). The
biosynthesis of ethylene in plant cells
occurs in a two-step biochemical pathway illustrated in figure below:
Figure : Ethylene biosynthesis starts when S-adenosyl-L-methionine (SAM) is converted to 1-aminocyclopropane-1carboxylic acid (ACC) by the enzyme ACC synthase (ACS). ACC is then converted to ethylene by the enzyme ACC oxidase (ACO). The ACS and ACO
genes are expressed in response to internal developmental cues and
environmental stresses, such as
wounding, flooding, drought, and
pathogen attack. Atta-Aly, Brecht and Huber (2000) researched ethylene feedback mechanisms in tomato and strawberry fruit tissues. Their studies revealed that
immature fruit had a reduced
concentration of ACC when exposed to ethylene gas, but ethylene application on mature fruit increased ACC oxidase
(ACO) activity.
Which statement best explains how different plant tissues respond to
ethylene gas?
A. Ethylene gas serves as a positive feedback signal in immature fruit and a negative feedback signal in mature fruit.
B. Exposure to ethylene gas results in a negative feedback loop in both immature and mature fruit
c. Ethylene gas serves as a negative feedback signal in immature fruit and a positive feedback signal in mature fruit.
D. Exposure to ethylene gas results in a positive feedback loop in both immature and it


An L-C-R circuit contains \( \boldsymbol{R}=\mathbf{5 0 \Omega} \)
\( \boldsymbol{L}=\mathbf{1} \boldsymbol{m} \boldsymbol{H} \) and \( \boldsymbol{C}=\mathbf{0 . 1} \boldsymbol{\mu} \boldsymbol{F} . \) The
impedence of the circuit will be minimum for a frequency of
\( ^{\mathbf{A}} \cdot \frac{10^{5}}{2 \pi} H z \)
в. \( \frac{10^{6}}{2 \pi} H z \)
c. \( 2 \pi \times 10^{5} H z \)
D. \( 2 \pi \times 10^{6} H z \)


The potential energy of your body is
least when you are...


Two glass plates are \( 10 \mathrm{cm} \) long. At one
end, a piece of paper of 0.02 mm
thickness is placed to make a wedge as
shown in the figure. Find the separation
between the two fringes. Assume \( \lambda= \)
\( \mathbf{5 0 0} \boldsymbol{n m} \)
A \( \cdot 1.25 \times 10^{-3} \mathrm{m} \)
B. 1.5 nm
\( c .2 .5 n m \)
D. none of the above


Find the total number of secondary
halogen in the given compound.


If \( \boldsymbol{A}=\left[\begin{array}{ll}\mathbf{3} & -\mathbf{2} \\ \mathbf{4} & -\mathbf{2}\end{array}\right], \) find \( \boldsymbol{K} \) such that \( \boldsymbol{A}^{\mathbf{2}}= \)
\( \boldsymbol{K} \boldsymbol{A}-\boldsymbol{2} \boldsymbol{I}, \) where \( \boldsymbol{I} \) is the identity
element.


Fascicular cambium is the cambium of
vascular bundle of
A. Monocot stem
B. Dicot stem
c. Monocot leaf
D. Dicot leaf


The neccesary conditions for combustion process of occur are :
(A) availability of air/oxygen
(B) availability of air/oxygen and fuel
(C) temperature of fuel below ignition temperature
(D) temperature of fuel above ignition temperature Select the correct alternatives.
A . A and B
B. B and D
\( c \cdot c \) and \( A \)
D. D and A


A boats man finds that he can save 6
\( \sec \) in crossing a river by quicker path, then by shortest path if the velocity of boat and river be respectively \( 17 \mathrm{m} / \mathrm{s} \) and \( 8 \mathrm{m} / \mathrm{s} \), then river width is?
\( \mathbf{A} \cdot 675 \mathrm{m} \)
B. \( 765 \mathrm{m} \)
\( c .567 \mathrm{m} \)
D. 657 m


\( (-24) \times(-2) \times(-2) \times 0 \times(-4)= \)
\( \mathbf{A} \cdot+384 \)
B . -384
c. 0
D. None of these


dentify metal #1.
A. Mercury
B. Copper
C. Zinc
D. Iron
\( E . \) Silver


State whether true or false.
Vibration of the ear drum produces sensation of sound in the ears.
A. True
B. False


If a wire of resistance \( R \) is stretched to
double of its length keeping the diameter same, then new resistance
will be:
A. \( R / 2 \)
в. \( 2 R \)
\( c .4 R \)
D. \( 16 R \)


Consider a gaseous reaction, the rate of which is given by \( k[A][B] . \) The volume of the reaction vessel containing these
gases is suddenly reduced to \( 1 / 4^{t h} \) of the initial volume. The rate of the
reaction as compared with original rate is:
A \( \cdot \frac{1}{16} \) times
B. 16 times
c. \( \frac{1}{8} \) times
D. 8 times


Find the equation of the hyperbola whose Transverse and Conjugate axes
are the \( x \) and \( y \) axes respectively, given
that the length of conjugate axis is 5 and distance between the foci is 13


What is drag?
A. Frictional force offered by fluids
B. Friction force offered by a solid surface
C . Pulling a body over a surface
D. None of these


The number of aromatic isomers
possible for \( \boldsymbol{C}_{\mathbf{7}} \boldsymbol{H}_{\mathbf{8}} \boldsymbol{O} \)
\( A \cdot 2 \)
B. 3
\( c \cdot 4 \)
D. 5


A number is mistakenly divided by 10
instead of being multiplied by \( 10 . \) What is
the percentage change in the result due
to this mistake?


Heating of 2 -chloro-1-phenylbutane with
EtOK / EtOH gives \( X \) as the major
product. Reaction of \( \boldsymbol{X} \) with
\( \boldsymbol{H} \boldsymbol{g}(\boldsymbol{O} \boldsymbol{A} \boldsymbol{c})_{2} / \boldsymbol{H}_{2} \boldsymbol{O} \) followed by \( \boldsymbol{N} \boldsymbol{a} \boldsymbol{B} \boldsymbol{H}_{4} \)
gives \( Y \) as the major product. \( Y \) is :
\( A \)
в.
\( c \)
\( D \)


Direction: Refer to the given graph and
select the correct options for the
questions that follow.
Which of these is correct regarding D, E
and \( F \) areas in the graph?
A. D shows venous blood in exercise
B. E shows normal venous blood
c. F shows normal arterial blood
D. All of the above


The displacement \( x \) of a particle varies
with time \( t \) as \( x=a e^{-\alpha t}+b e^{\beta t}, \) where
\( a, b, \alpha \) and \( \beta \) are positive constants. The velocity of the particle will
A. be independent of \( \alpha \) and \( \beta \)
B. drop to zero when \( \alpha=\beta \)
c. go on decreasing with time
D. go on increasing with time


A bicycle is being peddled and is moving in the direction shown. What are
the directions of the friction acting on the front wheel and on the back wheel?
A. backwards
B. front
C. no friction
D. all of the above


Which of the following is not a method for chemical combination?
A. Sharing of valence electrons
B. Transfer of valence electrons
c. sharing of all electrons
D. None of the above


Which is associated with asexual
reproduction in fungi?
A. Ascospores
B. Basidiospores
c. zygospores
D. conidiospores


Discuss "The respiratory pathway is an amphibolic pathway".


Which of the following relations is/are correct for lingmuir adsorption theorem?
(i) \( \frac{x}{m}= \) constant (at high pressure)
(ii) \( \frac{x}{m}= \) constant \( \times P^{1 / n} \) (at intermediate pressure)
(iii) \( \frac{x}{m}= \) constant \( \times P^{n} \) (at low pressure)
A. All the relations are correct
B. All the relations are wrong
c. (i) and (ii) are correct
D. (iii) is correct


The point through which the total weight appears to act for any orientation of the object is
A. centre of gravity
B. centre of momentum
c. centre of force
D. none of the above


In which of the following cases the net
force is not zero?
A. A kite skillfully held stationary in the sky
B. A ball freely falling from a height
c. An aeroplane rising upwards at an angle of \( 45^{\circ} \) with the horizontal with a constant speed
D. A cork floating on the surface of water


Hormone primarily connected with cell
division is
\( A \cdot \) IAA
B. NAA
c. cytokinin/zeatin
D. Gibberellic acid


1) What are vitamins? Name any two
diseases caused by deficiency of vitamin
A. Write the structure of (a)
nucleoside
(b) nucleotide
2) How are 1 -nitropropane, 2 nitropropane and 2-methyl-2nitropropane are distinguished from each other using nitrous acid?


Neanderthal man was replaced by which of the following man in Europe?
A. Cro-Magnon man
B. Homo sapiens
c. Rhesus monkey
D. New world monkey


Which of the following must be present for a sound wave to travel?
A. medium
B. compression
c. mediary
D. rarefaction
E. vacuum


Obtain an expression for equivalent capacitance \( C, \) when three capacitors
having capacitance \( C_{1}, C_{2} \) and \( C_{3} \) are connected m series.


Assertion
Oxidation involves loss of electrons and
reduction involves gain of electrons.
Reason
The overall reaction in which oxidation
and reduction occurs simultaneously is called redox reaction.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct


What is the equilibrium concentration
of each of the substances in the
equilibrium when the initial
concentration of \( I C l \) was \( 0.78 M ? \)
\( 2 I C l(g) \rightleftharpoons I_{2}(g)+C l_{2}(g) ; K_{c}=0.14 \)


\( B e^{3+} \) and a proton are accelerated by same proton, their de-broglie wavelengths are in the ratio:
(Assume the mass of proton=mass of neutron)
A . 1:
B. 1:
\( c \cdot 1: 4 \)
D. \( 1: 3 \sqrt{3} \)


Which pair represents chain isomers?
A \( \cdot C H_{3} C H C l_{2} \) and \( C l C H_{2} C H_{2} C l \)
B. n-propyl alcohol and isopropyl alcohol
c. 2- methylbutane and neopentane
D. Diethylether and dipropyl ether


The catalyst used for hydrogenation of
oils is


The longer side of a parallelogram is
10 \( c m \) and the shorter is 6 \( c m \). find its
Perimeter.
\( \mathbf{A} \cdot 32 c m \)
B. \( 16 \mathrm{cm} \)
\( \mathrm{c} \cdot 64 \mathrm{cm} \)
D. none of these


What is an electromagnetic?


Choose the correct answer from the
alternatives given. Directions for questions 71 to 75: Study the following bar-graph and answer the
questions.

The total units consumption in the year
2013 during these 5 months, in respect
of the same in the previous year has
been
A. decreased by 2.27\%
B. increased by 4.50\%
c. increased by \( 2.27 \% \)
D. increased by 2.22


State True or False
Isotopes have a same number of electrons and protons in all atoms.
A. True
B. False


topp
Q трерош (и)
onstant EMF is connected to the system such that B is connected to the positive terminal and A and c are nected to the negative terminal Vhich of the following diagrams orrectly depicts the isolines of electric otential (shown as dotted lines) in the egion between the plates?


The dimensions of the ratio of magnetic
flux \( (\phi) \) and permeability \( (\mu) \) are?
\( \mathbf{A} \cdot\left[M^{0} L^{1} T^{0} A^{1}\right] \)
B. \( \left[M^{0} L^{-3} T^{0} A^{1}\right] \)
c. \( \left[M^{0} L^{1} T^{1} A^{-1}\right] \)
D・ \( \left[M^{0} L^{2} T^{0} A^{1}\right] \)


Which of the following statements are
correct?
This question has multiple correct options
A. Benzaldehyde reduces Fehling's solution
\( \mathbf{B} \cdot C_{6} H_{5} C H O+C_{6} H_{5} C H O \stackrel{N a O H}{\longrightarrow} C_{6} H_{5} C H= \)
\( C H C_{6} H_{5}+O_{2} \) is a Claisen-Schmidt reaction.
C \( \cdot p K_{a} \) (formic acid) is less than \( p K_{a} \) (acetic acid)
D.


\( \boldsymbol{i}^{5 \boldsymbol{7}}+\frac{\mathbf{1}}{\boldsymbol{i}^{\mathbf{1 2 5}}}= \)
A.
B. \( 2 i \)
c. \( -2 i \)
D.


A glass of refractive index 1.5 is coated
with a thin layer of thickness of \( t \) of
refractive index 1.8 light of wavelength
\( \lambda \) tavelling at the upper and the lower
surfaes of the layer and the two reflected rays interfere. If \( \boldsymbol{\lambda}=\mathbf{6 4 8 n m} \)
obtain the least value of \( t\left(\operatorname{in} 10^{-8} m\right) \) for
which the rays interfere constructively.


Dilute nitric acid was added to the
calcium oxide.


Which of the following vitamins is water soluble?
\( A \cdot K \)
B. E
\( c \cdot D \)
D. \( B_{1} \)


A parallel plate air capacitor has a capacitance of \( 5 \mu F . \) It becomes \( 50 \mu F \) when a dielectric medium occupies the
entire space between its two plates.
What is the dielectric constant of the
medium?


Which pair of molecules are
hydrocarbons?
A. ethane and ethanol
B. ethane and ethene
C. ethanoic acid and ethene
D. ethanol and ethanoic acid


If \( P(A)=1, \) then the event \( A \) is known
as
A. Symmetric event
B. Dependent event
c. Improbable event
D. Sure event


Which of the following species exhibit the paramagnetic behaviour? This question has multiple correct options
A . \( N O \)
в. \( O_{2}^{2} \)
\( c \cdot O_{2}^{+} \)
D. \( O_{2} \)


Identify the following figure of cell cycle:-
A. Anaphase I
B. Metaphase
c. Anaphase II
D. Telophase II


The angles of a convex pentagon are in
the ratio \( 2: 3: 5: 9: 11 . \) Find the
measure of each angle.


Match List-I with List-II.


The IIA group metal ion having \( 6 s^{2}, 6 p^{6} \) as outer electron configuration is:
A \( \cdot C a^{2} \)
в. \( S a^{2} \)
\( c \cdot B a^{2} \)
D. \( R a^{2} \)


A man throws the bricks to the height of \( 12 m \) where they reach with a speed of
\( 12 m / s . \) If he throws the bricks such that theyjust reach this height, then what percentage of energy will he save?
A . \( 19 \% \)
B. 38\%
c. \( 57 \% \)
D. 76\%


What is thermal water pollution?
A. Change in the color of water
B. Change in water pressure
c. change in temperature of water
D. Change in pH of water


A particle moves along the y-axis so that its position at time \( 0 \leq t \leq 20 \) is
\( \operatorname{given} \operatorname{by} y(t)=5 t-\frac{t^{2}}{3} \cdot \) At what time
does the particle change direction?
A. 5 seconds
B. 7.5 seconds
c. 10 seconds
D. 15 seconds
E. 18 seconds


A spontaneous process is a process
which is instantaneous.lf true enter 1
else o
\( A \)


In the case of explosion of a bomb
a) KE changes
b) the mechanical energy conserves
c) linear momentum changes
d) chemical energy changes
A. a \( \& \) b are true
B. \( c \& \) d are true
\( c . \) a \( \& \mathrm{c} \) are true
D. a \& dare true


Assertion
Bohr proposed that angular momentum of electron in an orbit is quantized.
Reason

Debroglie derived that \( : m u r=n \frac{h}{2 \pi} \)
Read the above assertion and reason
and choose the correct option regarding
¡t.
A. Statement is correct but Explanation is wrong.
B. Statement is wrong but Explanation is correct
C. Both Statement and Explanation are correct and Explanation is the correct explanation for Statement.
D. Both Statement and Explanation are correct but Explanation is not the correct explanation for Statement


The wavelength of a matter wave is
given by
A. Heisenberg's hypothesis
B. Bohr's principle
c. Debroglie's rule
D. Newton-laplace rule


\( \int_{0}^{1} \frac{\boldsymbol{d} \boldsymbol{x}}{(1+\boldsymbol{x}) \sqrt{\left(\boldsymbol{2}+\boldsymbol{x}-\boldsymbol{x}^{2}\right)}}=\frac{\mathbf{1}}{\boldsymbol{k}} \sqrt{\mathbf{2}} . \) Finc
the value of \( k \)


\( \lim _{x \rightarrow 0} \frac{(1+x)^{4}-1}{(1+x)^{3}-1}=? \)
A \( \cdot \frac{3}{4} \)
B. \( \frac{9}{16} \)
\( c \cdot \frac{4}{3} \)
D. None of these


Arrange the following compounds in descending order on the basis of number of carbon atoms present in
them.
(A) Palmitic acid
(B) Serine
Ribose
(D) Arachidoric acid
Glucose
\( A \cdot D C A B E \)
B. B C E A D
c. D A E C B
D. \( C \) B A D E


What would be the IUPAC name of
element with a atomic number \( 120 ? \)
A. Unbinilium
B. Unnilhexium
c. Unnilseptium
D. Ununnilium


Assertion
Secondary successive takes place in recently denuded area.
Reason
It is caused due to baring of an area.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect


Two long parallel conductors are placed
at right angles to a metre scale at the \( 2 c m \) and \( 4 c m \) marks, as shown in the
figure. They carry currents of \( 1 A \) and \( 3 A \)
respectively. They will produce zero magnetic field at the
(ignore the Earth's magnetic field)
A. \( 0.5 \mathrm{cm} \) mark
B. \( 2.5 \mathrm{cm} \) mark
c. \( 1 \mathrm{cm} \) mark
D. \( 8 \mathrm{cm} \) mark


f \( A=1,3,5, \dots \dots \dots 17 \) and \( B= \)
\( 2,4,6, \dots \dots 18 \) and \( N( \) the set of natural
numbers) is the universal set, then
show that \( \boldsymbol{A}^{\prime} \cup\left((\boldsymbol{A} \cup \boldsymbol{B}) \cap \boldsymbol{B}^{\prime}\right)=\boldsymbol{N} \)


Two dice are thrown. The number of
sample points in the sample space when six does not appear on any one side is
A . 11
B . 30
c. 18
D. 25


The angular velocity of a rotating body is \( \vec{\omega}=4 \hat{i}+\hat{j}-2 \hat{k} . \) The linear velocity of the body whose position vector is \( 2 \hat{i}+ \) \( \mathbf{3} \hat{\boldsymbol{j}}-\mathbf{3} \hat{\boldsymbol{k}} \) is:
A \( .5 \hat{i}+8 \hat{j}+14 \hat{k} \)
B . \( 3 \hat{i}+8 \hat{j}+10 \hat{k} \)
c. \( 8 \hat{i}-3 \hat{j}+2 \hat{k} \)
D . \( -8 \hat{i}+3 \hat{j}+2 \hat{k} \)


Two wires are made of the same
material and have the same volume.
However wire 1 has cross-sectional area
\( A \) and wire 2 has cross-sectional area 3
A. If the length of wire 1 increased by \( \Delta x \) on applying force \( F, \) how much force is
needed to stretch wire 2 by the same
amount?
A \( .4 F \)
в. \( 6 F \)
\( c .9 F \)
D. \( F \)


In the given figure, \( P Q R S \) is a square
and \( \angle B A C=90^{\circ} . \) Prove that \( : R S^{2}= \)
BRxSC


Haemocoel is found in
A . Hydra
B. Cockroach
c. Earthworm
D. snake


In metals, the time of relaxation of
electrons
A. increases with increasing temperature
B. decreases with increasing temperature
c. does not depend on temperature
D. changes suddenly at \( 400 K \)


A skater of mass m standing on ice throws a stone of mass M with a velocity of \( V \) in a horizontal direction. The
distance over which the skater will move back (the coefficient of friction
between the skater and the ice is \( \mu \) ):
\( ^{\mathbf{A}} \cdot \frac{M^{2} V^{2}}{2 m \mu g} \)
в. \( \frac{M V^{2}}{2 m^{2} \mu g} \)
\( ^{\mathrm{c}} \cdot \frac{M^{2} V^{2}}{2 m^{2} \mu g} \)
D. \( \frac{M^{2} V^{2}}{2 m^{2} \mu^{2} g} \)


Algebraic sum of intercepts made by the plane \( x+3 y-4 z+6=0 \) on the axes is
A. 7
B. 0
\( c \cdot \frac{13}{2} \)
\( D \cdot-\frac{13}{2} \)


If a transformer have turn ratio 5
frequency \( 50 H z \) root mean square value of potential difference on primary
100 volts and the resistance of the
secondary winding is \( 500 \Omega \) then the peak value of voltage in secondary winding will be (the efficiency of the transformer is hundred percent)
A. \( 500 \sqrt{2} \)
2
в. \( 10 \sqrt{2} \)
c. \( 50 \sqrt{2} \)
2
D. \( 20 \sqrt{2} \)


Which of the following compounds is not an antacid?
A. Aluminium hydroxide
B. Cimetidine
c. Phenelzine
D. Ranitidine


A body of mass \( 5 k g \) is moving with a constant velocity of \( 18 \mathrm{m} / \mathrm{s} \) on a friction less horizontal surface. The force
required to keep this body moving with the same velocity is
\( A \cdot 5 N \)
B. \( 45 N \)
\( c .90 N \)
D. \( 0 N \)


Which of the following statement is
incorrect for \( K M n O_{4} ? \)
A. It is used as antiseptic
B. It is an oxidising agent
C. It is used as bleaching agent in textile industries
D. It Is steak mole allotted amorphous substance


A rod of mass \( M \) and length \( L \) is hinged
at its one end and carries a particle of
mass \( m \) at its lower end. A spring of
force constant \( k_{1} \) is installed at
distance \( a \) from the hinge and another
of force constant, \( k_{2} \) at a distance \( b \) as
shown in the figure. The whole
arrangement rests on a smooth
horizontal table top. Find the frequency
of vibration


Of the two bulbs in a house, one glows brighter than the other. Which of the two has a large resistance?
A. The bright bulb
B. The dim bulb
c. Both have the same resistance
D. The brightness does not depend upon the resistance


A constant force acting on a body of mass \( 3.0 \mathrm{kg} \) changes its speed from \( 2.0 \mathrm{ms}^{-1} \) to \( 3.5 \mathrm{ms}^{-1} \) in \( 25 \mathrm{s} \). The
direction of the motion of the body
remains unchanged. What is the magnitude of the force (in newton)?
A . 0.18
в. 0.36
c. 0.72
D. 0.24


Solve the following pair of equations by reducing them to a pair of linear equations: \( \frac{4}{x}+3 y=14, \frac{3}{x}-4 y=23 \)
B. \( x=-3, y=-1 \)
c. \( _{x}=\frac{1}{5}, y=-2 \)
D. \( x=\frac{7}{2}, y=7 \)


The closest distance an \( \alpha \) particle
emitted can reach to the nucleus of an an atom is called
A. Bohr's number
B. Distance of closest approach
c. Atomic radius
D. None of these


With what speed must a ball be thrown
down for it to bounce 10 m higher


Fibre obtained by chemical treatment of wood pulp is called:
A. natural Silk
B. rayon
c. nylon
D. polyster


Identify the unicellular organism.
A . Algae
B. Amoeba
c. snail
D. Ant


Find the smallest positive value of \( \theta \) satisfying \( \tan \theta=2 \sin \theta \)


The extremities of a diagonal of a rectangular parallelopiped whose faces are parallel to the reference planes are (-2,4,6) and \( (3,16,6) . \) The length of the base diagonal is
\( A \cdot 7 \)
B. 10
c. 11
D. 13


The number of moles of \( C r_{2} O_{7}^{2-} \) needed
to oxidize 0.136 equivalent of \( N_{2} H_{5}^{+} \)
through the reaction \( N_{2} H_{5}^{+}+ \) \( \boldsymbol{C r}_{2} \boldsymbol{O}_{\mathbf{7}}^{2-} \rightarrow \boldsymbol{N}_{2}+\boldsymbol{C r}^{3+}+\boldsymbol{H}_{2} \boldsymbol{O}, \) is :
A . 0.236
B. 0.087
c. 0.136
D. 0.488


Which of the following sets are finite
sets.
(i) The sets of months in a year.
\( (i i)\{1,2,3, \dots\} \)
\( (i i i)\{1,2,3, \dots, 99,100\} \)
\( (i v) \) The set of positive integers greater
than 100 .
A. ( \( i \) ) and \( (i i i) \)
B. (i) only
c. \( (i i),(i i i) \) and \( (i v) \)
D. (ii) and (iv)


The angle of elevation of the top of a
tower from a point on the ground \( 30 \mathrm{m} \)
away fro the foot of the tower is \( 30^{\circ} . \) The
height of the tower is
tower
\( \mathbf{A} \cdot 30 \mathrm{m} \)
B. \( 10 \sqrt{3} \mathrm{m} \)
\( \mathbf{c} \cdot 10 \mathrm{m} \)
D. \( 10 \sqrt{2} \mathrm{m} \)


The materials that do not allow flow of
electron through them are known as:
A. conductors
B. insulators
c. semi conductors
D. electrolytes


A connecting link between plant and animal kingdom is
A. Paramecium
B. Chlamydomonas
c. chlorella
D. Euglena


Find the solution of the differential
equation:
\( \left(1+y^{2}\right)+\left(x-e^{t a n^{-1} y}\right) \frac{d y}{d x}=0 \)


In the chart of photophosphorylation,
what does 'a' represent?
A. Cyt a
B. Cyt \( a_{3} \)
c. FRS
D. PQ


To construct a triangle similar to a given ABC with its sides \( \frac{3}{7} \) of the
corresponding sides of \( \Delta A B C, \) first draw a ray BX such that \( \angle C B X \) is an
acute angle and \( X \) lies on the opposite side of A with respect to BC. Then locate
points \( B_{1}, B_{2}, B_{3}, \dots \) on BX at equal distances and next step is to join
A. \( B_{10} \) to \( c \)
B. \( B_{3} \) to \( c \)
\( c \cdot B_{7} \operatorname{toc} \)
D. \( B_{4} \) to \( c \)


From which height a block of ice must be dropped in order that it melts completely. Assume that all the energy
is retained by the ice. \( \left(g=10 m s^{-2}, L=80 J g m^{-1} a n d J=4.2\right. \)
\( \mathrm{J} / \mathrm{cal} \)
A. \( 1000 \mathrm{Km} \)
B. 100Km
c. 33.6кm
D. \( 1 \mathrm{Km} \)


A certain mass of gas is expanded from \( (1 L, 10 a t m) \) to \( (4 L, 5 a t m) \) against a
constant external pressure of 1 atm. If the initial temperature of the gas is \( 300 K \) and the heat capacity of the
process is \( 50 J /^{\circ} C . \) Then the enthalpy change during the process is:
\( (1 L a t m \simeq 100 J) \)
A \( . \triangle H=15 k J \)
в. \( \triangle H=15.7 k J \)
c. \( \triangle H=14.4 k J \)
D. \( \triangle H=14.7 k J \)


In the series ethane, ethylene and
acetylene, the \( C-H \) bond energy is:
A. the same in all the three compounds
B. greatest in ethane
c. greatest in ethylene
D. greatest in acetylene


Let \( A \) be a symmetric matrix such that
\( \boldsymbol{A}^{5}=\mathbf{0} \) and \( \boldsymbol{B}=\boldsymbol{I}+\boldsymbol{A}+\boldsymbol{A}^{2}+\boldsymbol{A}^{3}+\boldsymbol{A}^{4} \)
then \( B \) is
This question has multiple correct options
A. symmetric
B. singular
c. non-singular
D. skew symmetric


Passive water absorption by root system is due to
A. Force created in roots
B. Osmotic force In shoot
c. High respiratory activity of root
D. Tension in sap due to transpiration


Equal volumes of \( 0.1 \mathrm{M} \) urea and \( 0.1 \mathrm{M} \) glucose are mixed. The mixture will
have :
A. lower osmotic pressure than individual values of osmotic pressure
B. higher osmotic pressure than individual values of osmotic pressure
c. same osmotic pressure as the two individual values
D. none of the above


The total number of integers n such that
\( 2 \leq n \leq 2000 \) and the H.C.F of \( n \) and 36
is equal to 1 is
A . 665
в. 666
\( c \cdot 667 \)
D. None of these


f \( \boldsymbol{y}=\sin \boldsymbol{x} \) and \( \boldsymbol{x} \) changes from \( \boldsymbol{\pi} / \mathbf{2} \) to
\( 22 / 14, \) what is the approximate change
in \( \boldsymbol{y} ? \)


Which of the following is a lanthanide?
A. Curium
B. Californium
c. Uranium
D. Europium


Adsorption column chromatography
has been used for:
This question has multiple correct options
A. isolation and purification of vitamins and hormones
B. examination of vegetable oil and pharmaceutical preparations
C. used as indicator
D. all of the above


If \( \vec{a}+\vec{b} \perp \vec{a} \) and \( |\vec{b}|=\sqrt{2}|\vec{a}| \), then?
\( \mathbf{A} \cdot(2 \vec{a}+\vec{b}) \| \vec{b} \)
B . \( (2 \vec{a}+\vec{b}) \perp \vec{b} \)
c. \( (2 \vec{a}-\vec{b}) \perp \vec{b} \)
D. \( (2 \vec{a}+\vec{b}) \perp \vec{a} \)


Which one of the following has haplontic life cycle?
A. Wheat
B. Funaria
c. Polytrichum
D. ustilago


If 'p' region of a semi conductor is connected to negative and 'n' region to positive pole, it is said to be
A. directed biased
B. unbiased
c. forward biased
D. reverse biased


Q Type your question
beaker lost mass because
INITIAL (after \( \mathrm{H}_{2} \mathrm{SO}_{4} \) is completely added)
FINAL (after exothermic reaction is completed)
\( \mathrm{H}_{2} \mathrm{SO}_{4}+2 \mathrm{NaOH} \rightarrow \mathrm{Na}_{2} \mathrm{SO}_{4}+2 \mathrm{H}_{2} \mathrm{O} \)
A. materials have less mass at high temperatures
B. the mass of the reactants and products was less than \( 100 g \)
C. sodium sulfate \( \left(N a_{2} S O_{4}\right) \) is lighter than air
D. some of the water molecules turned into gas


\( \mathbf{f} \boldsymbol{p}(\boldsymbol{x})=\boldsymbol{a} \boldsymbol{x}^{3}+\boldsymbol{3} \boldsymbol{x}-\mathbf{1} \boldsymbol{3} \) and \( \boldsymbol{q}(\boldsymbol{x})= \)
\( 2 x^{3}-5 x+1 \) are divided by \( x+2 \)
remainder is same in each case. find
the value of \( a \)


Which of the following are dimensionless
A. S.D.
в. М.D.
c. variance
D. coefficient of variation


A square planar complex is formed by hybridization of which atomic orbitals?
A \( \cdot s, p_{x}, p_{y}, d_{y z} \)
B. \( s, p_{x} . p_{y}, d_{x^{2}-y^{2}} \)
C \( \cdot s, p_{x} \cdot p_{y}, d_{z} \)
D. \( s, p_{x}, p_{y}, d_{x y} \)


The following is the scheme showing the path of reflex arc. Identify the different labeling \( A, B, C, D, E, F \) in the
reflex arc.
A. A- stimulus, B- Effector, C- Motor nerve, D- sensory nerve, E- Receptor, F- Response
B. A- Stimulus, B- Receptor, C- Motor nerve, D- Sensory nerve, E- Effector, F- Response
c. A- stimulus, B- Effector, C- - Sensory nerve, D- Motor nerve, E- Receptor, F- Response
D. A- Stimulus, B- Receptor, C- - Sensory nerve, D- Motor nerve, E- Effector, F- Response


About \( 1500 \mathrm{ml} \) of air left in lungs is called as
A. Tidal volume
B. Inspiratory reserve volume
c. Residual volume
D. Vital capacity


If true enter 1 , else enter 0 .
A bond order of zero implies that the diatomic molecule is not stable relative
to the two separated atoms.


An intensive property is defined as a:
A. physical property of a system that depends on the system size or the amount of material in the system.
B. physical property of a system that does not depend on the system size or the amount of material in the system
C. dependent on the internal properties of the system.
D. None of the above


Which of the following alcohol is used for
making acetaldehyde?
A. Ethanol
B. Methanol
c. Propanol
D. None of the above


Assertion
Sulphar present in an organic
compound can be estimated quantitatively by Carius Method.
Reason
Sulphar is separated easily from other
atoms in the molecules and gets
precipitated as light yellow solid.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect


The oxyacid of phosphorous which
exists as a dimer in vapour phase is :
A. Hydrophosphorous acid
B. Pyrophosphoric acid
c. Peroxy phosphoric acid
D. Metaphosphoric acid


Find the cubes of the following
numbers:
40


If \( \boldsymbol{R}=\{(\boldsymbol{a}, \boldsymbol{b}): \boldsymbol{b}=\boldsymbol{a}+\mathbf{1}, \boldsymbol{a} \in \mathbb{Z}, \boldsymbol{0}< \)
\( a<5\} \) then find the range of \( R \)


Which one of the following ores is concentrated by froth floatation
process?
A . Magnesite
B. Magnetic
c. Galena
D. Malachite


Evaluate:
\( \int x+5 d x \)


Curie temperature is defined as the
temperature above which.
A. A paramagnetic material becomes ferromagnetic
B. A ferromagnetic material becomes paramagnetic
C. A ferromagnetic material becomes diamagnetic
D. A diamagnetic material becomes ferromagnetic


Add the following
(i) \( x-3 y-2 z \)
\( 5 x+7 y-8 z \)
\( 3 x-2 y+5 z \)


At \( 27^{\circ} \mathrm{C} \) it was observed in the
hydrogenation of a reaction, the
pressure of \( \boldsymbol{H}_{2}(\boldsymbol{g}) \) decreases from 10
\( \operatorname{atm} \operatorname{to} 2 \operatorname{atm} \) is 10 min. The rate of the
reaction is \( 3 \times 10^{-x} \) Mmin \( ^{-1} \). Find the
value of \( x \)
\( \left[\text { Given } R=0.08 L \operatorname{atm} K^{-1} m o l^{-1}\right] \)


Identify \( [\boldsymbol{A}] \) and \( [\boldsymbol{B}] \) in the following:
\( \underset{89}{297} A c \stackrel{-\beta}{\longrightarrow}[A] \quad-\alpha \)
\( [\boldsymbol{B}] \stackrel{-\boldsymbol{\alpha}}{\longrightarrow} \boldsymbol{R} \boldsymbol{n} \)
A \( . P o, R n \)
в. \( T h, P o \)
c. \( R a, T h \)
D. \( T h, R a \)


Find the focal length of the lenses used
in her spectacles.


If \( R s .3,750 \) amount to \( R s .4,620 \) in 3 years at simple interest, then find the rate of interest.
A \( \cdot 7 \frac{11}{15} \% \)
в. \( 8 \frac{11}{15} \% \)
c. \( _{6} \frac{11}{15} \% \)
D. \( 5 \frac{11}{15} \% \)


Explain the preparation of glucose from
cane sugar


Which of the following statements is
correct for Tyndall effect?
A. Scattering and polarising of light by small suspended particles is called Tyndall effect
B. Tyndall effect of colloidial particles is due to dispersion of light
C. Tyndall effect is due to refraction of light
D. Tyndall effect is zig-zag motion of suspended particles


Three charges \( Q,+q \) and \( +q \) are placed
at the vertices of a right angle isosceles triangle as shown. The net electrostatic
energy of the configuration is zero, if \( \boldsymbol{Q} \)
is equal to:
\( \mathbf{A} \)
B.
\( \mathbf{c} .-2 q \)
D. \( +q \)


Which of the following species shows intramolecular hydrogen bonding?
A. \( C H_{3} N H_{2} \)
в. \( H F \)
\( c \)
D. \( C C l_{3} C H(O H)_{2} \)


Which of the following is(are) matter?
Chair, air, love, smell, hate, almonds, thought, cold, cold-drink, smell of
perfume.


The vectors \( 2 \hat{i}-3 \hat{j}+4 \widehat{k} \) and \( -4 \hat{i}+ \) \( 6 \widehat{j}-8 \widehat{k} \) are collinear.
A. True
B. False


An electron beam passes through a
transverse magnetic field of \( 2 \times 10^{-3} \)
tesla and electric field \( \boldsymbol{E} \) of \( \mathbf{3 . 4} \times \)
\( 10^{4} V / m \) acting simultaneously. If the
path of the electrons remain
undeviated, calculate the speed of the electrons


toppr \( t \)
Q Type your question
of the forces exerted on the wires?
\( A \)
в.
\( c \)
D.


In a series LCR circuit, resonance
occurring at \( 105 \mathrm{Hz} \). At that time, the potential difference across the 100 resistance is \( 40 \mathrm{V} \) while the potential difference across the pure inductor is 30v. The inductance L of the inductor is
equal to
A \( \cdot 2.0 \times 10^{-4} \)
B . \( 3.0 \times 10^{-4} \)
c. \( 1.2 \times 10^{-4} \)
D. \( 2.4 \times 10^{-4} \)


If the sides of a triangle are in A.P, the
perimeter of the triangle is \( 30 \mathrm{cm} . \) The difference between the longer and
shorter side is \( 4 \mathrm{cm} . \) Then find the all
sides of the triangles.


CV Raman got the Nobel Prize for his experiment on:
A. Dispersion of Light
B. Reflection of Light
c. Deflection of Light
D. scattering of Light


List the properties of electromagnetic
waves.


Assertion: The basicity of orthophosphorous acid is two Reason: In ortho-phosphorous acids,
two replaceable hydrogen atoms are
present
A. Both Assertion and Reason are true and Reason is the correct explanation of Assertion
B. Both Assertion and Reason are true and Reason is not the correct explanation of Assertion
c. Assertion is true and Reason is false
D. Assertion is false but Reason is true


The radius of the curved part of the wire
is \( R=100 m m, \) the linear parts of the
wire are very long. Find the magnetic induction at the point \( O \) if the wire
carrying a current \( I=8.0 A \) has the
shape shown in the figure.
в. \( 0.60 \mu T \)
\( c .0 \mu T \)
D. \( 0.70 \mu T \)


\( R s .800 \) amounts to \( R s .920 \) in 3 years at
a certain rate of interest. If the rate of
interest by \( 3 \%, \) what would the amount will become?


The correct IUPAC name of the above
given compound is:
A. 2-epoxy-1-chloropropane
B. 1,2-epoxy-1-chloropropane
c. epoxy-1-chloropropane
D. 3-Chloro-1,2-epoxypropane


If the sum of \( p \) terms of an A.P. is q and
the sum of q terms is \( p \), then the sum of \( p+q \) terms is
\( A \cdot O \)
B. p-q
\( c \cdot p+1 \)
\( D \cdot-(p+q) \)


The least distance of vision of a
longsighted person is \( 60 \mathrm{cm} . \) By using a spectacle lens, this distance is reduced to \( 12 \mathrm{cm} . \) The power of the lens is
\( \mathbf{A} \cdot+5.0 D \)
B. \( +(20 / 3) D \)
c \( \cdot(-10 / 3) D \)
D. \( +2.0 D \)


In the circuit shown, the heat produced in \( 5 \Omega \) resistor is 10 calorie/sec. The heat
produced/sec in \( 4 \Omega \) resistor will be :
A . 1 cal
B . 2 cal
\( c .3 \) cal
D. 4 cal


Use the Venn diagram to answer the
following questions
(i) List \( U, G \) and \( H \)
(ii) Find \( G^{\prime}, H^{\prime}, G^{\prime} \cap H^{\prime}, n(G \cup H)^{\prime} \) and
\( \boldsymbol{n}(\boldsymbol{G} \cap \boldsymbol{H})^{\prime} \)


If we take \( 44 \mathrm{g} \) of \( C O_{2} \) and \( 14 \mathrm{g} \) of \( N_{2} \)
what will be the mole fraction of \( C O_{2} \) in
the mixture?
A . \( 1 / 5 \)
в. \( 1 / 3 \)
c. \( 2 / 3 \)
D. \( 1 / 4 \)


Calculate the age of a vegetarian beverage whose tritium content is only \( 15 \% \) of the level in living plants. Given \( \boldsymbol{t}_{\frac{1}{2}} \) for \( _{1} \boldsymbol{H}^{3}=\mathbf{1 2 . 3} \) years. \( (\log \mathbf{2}= \)
\( 0.3, \log 3=0.48) \)


A lead storage battery containing 5.0 Lof
(1N) \( H_{2} S O_{4} \) solution is operated for
\( 9.65 \times 10^{5} \mathrm{s} \) with a steady current of 100
mA. Assuming volume of the solution
remaining constant, normality of \( H_{2} S O_{4} \)
will:
A. remain unchanged
B. increases by 0.20
c. increase by unity
D. decrease by 0.40


The term species was coined by
A. Aristotle
B. Engler
c. John Ray
D. Linnaeus


The perpendicular distance of the origin from the lines \( 2 x+5 y=20 \) and \( 5 x+ \)
\( 2 y=20 \) are same.
A. True
B. False


The correct decreasing order of priority for the functional groups of organic compounds in the IUPAC system of nomenclature is:
A \( .-C O O H>-S O_{3} H>-C O N H_{2}>-C H O \)
в. \( -S O_{3} H>-C O O H>-C O N H_{2}>-C H O \)
c. \( -C H O>-C O O H>-S O_{3} H>-C O N H_{2} \)
D. \( -C O N H_{2}>-C H O>-S O_{3} H>-C O O H \)


If the sum of three numbers in A.P. is 24
and their product is \( 440, \) find the numbers.


Find the equations of the lines for which \( \cot \theta=\frac{1}{2}, \) where \( \theta \) is the angle of
inclination of the line and \( y- \) intercept
is \( \frac{-3}{2} \)


The frequency of a tuning fork \( A \) is \( 2 \% \)
greater than that of a standard fork ' \( K \).
The frequency of another tuning fork ' \( \boldsymbol{B}^{\prime} \)
is \( 3 \% \) less than \( ^{\prime} K^{\prime} \). When \( ^{\prime} A^{\prime} \) and \( ^{\circ} B^{\prime} \)
are vibrated together 6 beats per second are heard. The frequencies of ' \( \boldsymbol{A}^{\prime} \)
and ' \( \boldsymbol{B} \) ' are:
В. 132.4Нz,116.4Нz
c. \( 142.4 \mathrm{Hz}_{2}, 16.4 \mathrm{Hz} \)
D. 152.4Hz,116.4Hz


\( \mathbf{2} N_{2}+O_{2} \longrightarrow \)
A \( \cdot N_{2} O \)
в. \( N O_{2} \)
c. \( N O \)
D. \( N_{2} O_{2} \)


In which of the following, the double
bond consists of both \( p i \) bond?
\( A \cdot O_{2} \)
в. \( C_{2} \)
c. \( B e_{2} \)
D. \( S_{2} \)


Define pollution. With reference to water pollution, explain biochemical oxygen demand, algal bloom, biomagnification and eutrophication.


Which of the following is not a buffer solution?
A. \( C H_{3} C O O H+C H_{3} C O O N a \)
в. \( H_{3} B O_{3}+N a_{3} B O_{3} \)
c. \( H C l O_{4}+N a C l O_{4} \)
D. \( N H_{4} O H+\left(N H_{4}\right)_{2} S O_{4} \)


Two consecutive sides of a
parallellogram are \( 4 x+5 y=0 \& 7 x+ \)
\( 2 y=0 . \) If the equation to one diagonal
is \( 11 x+7 y=9, \) find the equation to
the other diagonal.


The resistance of an ammeter is \( 13 \Omega \)
and its scale is graduated for a current upto 100 amps. After and additional shunt has been connected to this
ammeter it becomes possible to
measure currents upto 750 amperes by this meter. The value of shunt-
resistance is-
A \( .2 K \Omega \)
B. 20\Omega
\( c .2 \Omega \)
D. \( 0.2 \Omega \)


Lateral line sensory system is markedly developed in
A. Scoliodon.
B. Cyclostomes, fish and a few larval amphibianss
c. Larval stages of fishes.
D. All members of class Elasmobranchii


f \( p(x)=51 x^{101}-2323 x^{100}-45 x+ \)
1035, then using Rolle's Theorem. prove
that atleast one foot lies between
\( \left(45^{1 / 100}, 46\right) \)


A chord of a circle of radius \( 12 \mathrm{cm} \)
subtends an angle of \( 120^{\circ} \) at the centre.
Find the area of the corresponding segment of the circle. (Use \( \pi=3.14 \text { and } \sqrt{3}=1.73) \)
\( \mathbf{A} \cdot 88.44 \)
B. 94.88
c. 43.88
D. 54.88


Which of the following is not true about
\( H_{2} O \) molecule?
A. The molecule has \( \mu=0 \)
B. The molecule can act as a base
c. Shows abnormally high boiling point in comparison to hydrogen oxygen group
D. The molecule has a bent shape


Which method do you suggest for extraction of high reactivity metals?
Why?


The work function of cesium metal is
2eV. It means that
A. The energy necessary to emit electrons from metal surface is \( 2 \mathrm{eV} \)
B. The energy of electrons emitted from metallic surface is \( 2 e v \)
C. The value of photoelectric current is \( 2 \mathrm{eV} \)
D. The value of threshold frequency is \( 2 e v \)


Study the given statement about gymosperms and select the correct option
¡) Siphonogamous oogamy
(ii) Male and female cone are borne on
same tree in Pinus
iii) Endosperm represents female gametophyte
A. Statement (i) and (ii) are correct
B. Statement (ii) and (iii) are correct
C. Statement (i) and (iii) are correct
D. Statement (i),(ii) and (iii) are correct


Which of the following orders is/are
incorrect?
This question has multiple correct options
\( \mathbf{A} \cdot H_{3} P O_{4}>H_{3} P O_{3}>H_{3} P O_{2} \) (reducing character)
B. \( N_{2} O<N O<N_{2} O_{3}<N_{2} O_{5} \) (oxidation state of
nitrogen atom)
\( \mathbf{C} \cdot N H_{3}>P H_{3}>A s H_{3}>S b H_{3}(\text { basicity }) \)
D \( \cdot S b H_{3}>N H_{3}>A s H_{3}>P H_{3} \) (reducing character)


\( \operatorname{mass} m=2 k g \) are connected to the
ends of an ideal spring having force
constant \( \boldsymbol{k}=\mathbf{1 0 0 0} \boldsymbol{N m}^{-1} . \) System of
these blocks and spring is placed on a rough floor. Coefficient of friction
between blocks and floor is \( \mu=0.5 \)
Block B is pressed towards left so that
spring gets compressed.
Initial minimum compression \( \boldsymbol{x}_{\mathbf{0}} \) of
spring such that block A leaves contact
with the wall when system is released is:
\( \mathbf{A} \cdot 3 \mathrm{cm} \)
B. \( 4 \mathrm{cm} \)
\( \mathbf{c} .5 \mathrm{cm} \)
D. \( 6 \mathrm{cm} \)


When the number 0.046508 is reduced
to 4 significant figures, then it becomes
A . 0.0465
B . \( 4650.8 \times 10^{-5} \)
c. \( 4.651 \times 10^{-2} \)
D. \( 4.650 \times 10^{-2} \)


Which of the following statements is
true?
A. Soda lime is a mixture of sodium hydroxide and potassium hydroxide.
B. Methane can be prepared by Wurtz reaction.
C. In alkanes all carbon atoms are \( s p^{3} \) hybridised.
D. neo-Pentane yields three different mono-chloro derivatives


Set up an equation of a tangent to the graph of the following function. The tangent to the curve \( y=4-x^{2} \)
makes an angle of \( 75^{\circ} \) with the \( X \) axis.
Find the coordinates of the point of
tangency


When \( Z n S \) and \( P b S \) minerals are
present together, then \( N a C N \) is added
to separate them in the froth flotation
process as a depressant, because:
A \( \cdot P b(C N)_{2} \) precipitated while no effect on \( Z n S \)
B. \( Z n S \) forms soluble complex \( N a_{2} Z n(C N)_{4} \)
C. \( P b S \) forms soluble complex \( N a_{2} P b(C N) \)
D. both \( (a) \) and \( (b) \)


If the area of wing is \( 80 \mathrm{m}^{2} \), then the net
upward force is
A \( \cdot 2.35 \times 10^{3} \mathrm{N} \)
B . \( 0.56 \times 10^{4} \) N
c. \( 6.43 \times 10^{5} \) N
D. \( 1.17 \times 10^{6} \) N


1\% Phenol is used as
A. Disinfectant
B. Antiseptic
C . Antifertility drug
D. Artificial sweetener


If \( 1+\sin x+\sin ^{2} x+\sin ^{3} x+\ldots \infty \) is
equal to \( 4+2 \sqrt{3}, 0 \leq x<\pi \) then \( x \) is
equal to
A.
в.
c. \( \frac{\pi}{3} \) or \( \frac{\pi}{6} \)
D. \( \frac{\pi}{3} \) or \( \frac{2 \pi}{3} \)


In an atom an electron excites to the
fourth orbit. When it jumps back to the energy levels a spectrum is formed.Total number of spectral lines in this
spectrum would be
\( A \cdot 3 \)
B. 4
\( c \cdot 5 \)
D. 6


In a biprism experiment the distance between the two virtual images of the
slit is \( 0.1 \mathrm{cm} \) and the distance between
the slit and screen is \( 1 \mathrm{m} \). If the band
width is \( 0.058 \mathrm{cm} . \) Calculate the
wavelength of light.


The graph of the line \( y=6 \) is a line that
is:
A. Parallel to x-axis at a distance of 6 units from the origin
B. Parallel to y-axis at a distance of 6 units from the origin
c. Making an intercept of 6 units on the x-axis
D. Making an intercept of 6 units on both the axes.


Which of the following ions is the most resonance stabilised?
A. Ethoxide
B. Phenoxide
c. Butoxide
D. Isopropoxide


Which book was written by Charles Darwin?
A. Origin of species
B. Species Plantarum
c. Genera Plantarum
D. De Naturien Familien


Show that the equation \( 2\left(a^{2}+b^{2}\right) x^{2}+ \)
\( 2(a+b) x+1=0 \) has no real roots,
when \( a \neq b \)


\( \mathbf{f} \mathbf{\Delta}=\left|\begin{array}{ccc}-\boldsymbol{a} & \mathbf{2} \boldsymbol{b} & \mathbf{0} \\ \mathbf{0} & -\boldsymbol{a} & \mathbf{2} \boldsymbol{b} \\ \mathbf{2} \boldsymbol{b} & \mathbf{0} & -\boldsymbol{a}\end{array}\right|=\mathbf{0}, \) then
A \( \cdot \frac{1}{b} \) is a cube root of unity
B. \( a \) is one of the cube roots of unity
\( \mathrm{c} . b \) is one of the cube roots of 8
D. \( \frac{a}{b} \) is a cube root of 8


Determine the sum of the arithmetic
series \( 10+20+30+\ldots 600 \)
A . 13500
B. 15500
c. 18300
D. 19100


A string fastened at both ends has
successive resonances with
wavelengths of \( 0.54 m \) for the \( n^{t h} \)
harmonic and \( 0.48 m \) for the \( (n+1)^{t h} \)
harmonic. The wavelength of the fundamental frequency is \( 432 \times 10^{-x} m \)
What is the value of \( x ? \)
A . 1
B. 2
\( c .3 \)
D.


Find the sum of the products of the corresponding terms of the following sequences:-
(i) 2,4,8,16,32
(ii) \( 128,32,8,2, \frac{1}{2} \)


The centre of mass of a uniform thin
hemispherical shell of radius R is located at a distance?
A \( \cdot \frac{\pi R}{2} \)
в. \( \frac{2 R}{3} \)
c. \( \frac{R}{2} \)
D. \( \frac{4 R}{3 \pi} \)


Examine the given structures and select which of them are aromatic?
(i)
(ii)
(iv)
A . I and II
B. I and III
c. Il and III
D. III and IV


The volumes of two vessels at same
temperature are in theratio of \( 2: 3 . \) One
vessel contains \( H_{2} \) and other \( N_{2} \) at 600
\( \mathrm{mm} \) and \( 900 \mathrm{mm} \) respectively. The final pressure when they are connected
together is : (Assume that \( N_{2} \) and \( H_{2} \)
react to form \( N H_{3} \)
\( A \cdot 680 \mathrm{mm} \)
B. 760 mm
c. \( 780 \mathrm{mm} \)
D. 800 mm


The perimeter of a quadrant of a circle of radius \( \frac{7}{2} \mathrm{cm} \) is:
\( \mathbf{A} \cdot 3.5 \mathrm{cm} \)
B. \( 5.5 \mathrm{cm} \)
c. \( 7.5 \mathrm{cm} \)
D. \( 12.5 \mathrm{cm} \)


The standard reduction potential for \( C u^{2+} 1 C u \) is +0.34 V. The reduction
potential at \( \mathrm{pH}=14 \) for the above couple is:
\( \boldsymbol{K}_{s p} \) of \( \boldsymbol{C u}(\boldsymbol{O H})_{2} \) is \( 1.0 \times 10^{-19} \)
\( \mathbf{A} \cdot 0.34 V \)
B . \( 0.56 V \)
c. \( -0.22 V \)
D. None of these


The lines \( \frac{x-2}{1}=\frac{y-3}{1}=\frac{z-4}{-k} \& \)
\( \frac{\boldsymbol{x}-\mathbf{1}}{\boldsymbol{k}}=\frac{\boldsymbol{y}-\boldsymbol{4}}{\boldsymbol{2}}=\frac{\boldsymbol{z}-\mathbf{5}}{\mathbf{1}} \) are coplanar if
A \( . k=0 \) or -1
B. \( k=1 \) or -1
c. \( k=0 \) or -3
D. \( k=3 \) or -3


Sheryl accidentally placed her hand over a flame and immediately pulled it back. She felt the sensation of heat and
reacted due to the action of
A. Blood cells
B. Skin surface
c. Nerve cells
D. Nucleus of cells


How many ATPs are directly formed during glycolysis cycle of by 6 molecule of glucose?
A .24
B. 32
\( c . \) 36
D. 38


Select the correct statement from
following.
A. Between \( N H_{3} \) and \( P H_{3}, N H_{3} \) is a better electron donor
because the lone pair of electrons occupies spherical s-orbital and is less directional
B. Between \( N H_{3} \) and \( P H_{3}, P H_{3} \) is a better electron donor because the lone pair of electrons occupies spherical \( s p^{3} \) orbital and is less directional
C. Between \( N H_{3} \) and \( P H_{3}, N H_{3} \) is a better electron donor because the lone pair of electrons occupies spherical \( s p^{3} \) orbital and is less directional
D. Between \( N H_{3} \) and \( P H_{3}, P H_{3} \) is a better electron donor because the lone pair of electrons occupies spherical s-orbital and is less directional


\( P b O_{2} \) is a reducing agent.
A. True
B. False


If \( A B \perp B C, \) then the value of \( \lambda \) equal
where \( \boldsymbol{A}(\mathbf{2 k}, \mathbf{2}, \mathbf{3}), \boldsymbol{B}(\boldsymbol{k}, \mathbf{1}, \mathbf{5}), \boldsymbol{C}(\boldsymbol{3}+ \)
\( k, 2,1) \)
\( \mathbf{A} \cdot \mathbf{3} \)
B.
\( c .-3 \)
D. \( -\frac{1}{3} \)


Do following addition with the help of numberline:
\( 8+(-6) \)


A beaker containing water weighs 100 \( g m \). It is placed on the pan of a balance and a piece of metal weighing \( 70 g m \) and having a volume of \( 10 c c \) is placed inside the water in the beaker
The weigh of the beaker and the metal would be
A. \( 170 g m \)
в. \( 160 g \) m
c. \( 100 g m \)
D. \( 30 g m \)


Evaluate \( \int_{4}^{12} x d x \)


The visual purple is concerned with
A. Bright light
B. Dim light
c. Moderate light
D. Darkness


A particle experiences constant acceleration for \( 20 s \) after starting from
rest. If it travels a distance \( X_{1} \), in the
first \( 10 s \) and distance \( X_{2}, \) in the remaining \( 10 s, \) then which of the
following is true?
\( \mathbf{A} \cdot X_{1}=2 X_{2} \)
В. \( X_{1}=X_{2} \)
\( \mathbf{c} \cdot X_{1}=3 X_{2} \)
D. None of these


Which phenomenon occurs during the following change? Size of naphtalene balls decreases.
A. condensation
B. sublimation
c. evaporation
D. melting


How plant respiration is different from animal respiration. Describe the process of respiration in
(a) root
(b) stem
(c) leaves with suitable diagram.


Two liquids \( A \) and \( B \) form an ideal solution at temperature T. When the
total vapour pressure above the solution is 400 torr, the mole fraction of
\( A \) in the vapour phase is 0.40 and in the liquid phase \( 0.75 . \) What are the vapour
pressure of pure \( A \) and pure \( B \) at
temperature T?


The maximum number of possible interference maxima, for slit separation equal to twice the wavelength,in Young's double slit experiment is :
A . infinite
B. five
c. three
D. zero


A pack of cards randomly shuffled has more entropy than a pack of arranged cards.If true enter 1 else 0
\( A \)


Solve:-
\( \sqrt[3]{\boldsymbol{y}}(2 \sqrt[3]{\boldsymbol{y}}-\sqrt[3]{\boldsymbol{y}^{8}}) \)


According to Maxwell's equation, the velocity of light in any medium is expressed as
\( ^{\mathbf{A}} \cdot \frac{1}{\sqrt{\mu_{0} \varepsilon_{0}}} \)
в. \( \frac{c}{\sqrt{\mu \varepsilon}} \)
c. \( \frac{\mu}{\sqrt{\varepsilon}} \)
D. \( \sqrt{\frac{\mu_{0}}{\varepsilon}} \)


A turn of radius \( 20 \mathrm{m} \) is banked for the
vehicle of mass 200 kg going at a speed of \( 10 \mathrm{m} / \mathrm{s} \). Find the direction and
magnitude of frictional force acting on a vehicle if it moves with a speed \( 5 \mathrm{m} / \mathrm{s} \)


In heart of human, bicuspid valve is situated in
A. Right auricle and pulmonary aorta
B. Post caval and auricle
c. Left auricle and left ventricle
D. Right auricle and right ventricle


The voltage applied to a purely inductive coil of self inductance
\( 15.9 m H \) is given by the equation \( V= \)
\( 100 \sin 314 t+75 \sin 942 t+ \)
\( 450 \sin 1570 t \)
Find the equation of current wave.


\( \frac{4}{4} \)


Faciliated diffusion
A. Doesn't involves permease and doesn't require energy
B. Involves a permease but does not require energy
C. Require energy but does not involves a permease
D. Moves substances from a region of lower concentration to a region of higher concentration


Electric field produced due to an infinitely long straight uniformly charged wire at perpendicular distance of \( 2 c m \) is \( 3 \times 10^{8} N C^{-1} \). Then, linear
charge density on the wire is
\( \left(K=9 \times 10^{9} S I \quad \text { unit }\right) \)
A \( \cdot 3.33 \frac{\mu C}{m} \)
в. \( 333 \frac{\mu C}{m} \)
c. \( \quad 666 \frac{\mu C}{m} \)
D. \( 6.66 \frac{\mu C}{m} \)


Following are enzymes present in the intestinal juice. Which among these is considered as non-digestive enzyme?
A. Nucleotidase
B. Aminopeptidase
c. Enterokinase
D. Lipase


Number of electrons in the valence shell
of a semiconductor is
A .
B. 2
\( c .3 \)
\( D \)


A circular road of radius r is banked for
a speed \( \mathbf{v}=40 \mathrm{km} / \mathrm{hr} . \) A car of mass \( \mathrm{m} \)
attempts to go on the circular road. The
friction coefficient between the tyre and
the road is negligible.
A. The car cannot make a turn without skidding
B. if the car turns at a speed less than \( 40 \mathrm{km} / \mathrm{hr} \), it will slip down.
C. If the car turns at the correct speed of \( 40 \mathrm{km} / \mathrm{hr} \), the force by the road on the car is equal to \( m v^{2} / r \)
D. If the car turns at the correct speed of \( 40 \mathrm{km} / \mathrm{hr} \), the force by the road on the car is greater than mg as well as greater than \( m v^{2} / r \)


A ball is moving uniformly in a circular path of radius \( 1 m \) with a time period of
1.5 \( s \). If the ball is suddenly stopped at
\( t=8.3 s, \) the magnitude of the
displacement of the ball with respect to
its position at \( t=0 s \) is closest to:
\( \mathbf{A} \cdot 1 m \)
в. 33 т
\( c .3 m \)
D. \( 2 m \)


Identify E:
\( \mathbf{A} \cdot K_{3} N \)
\( \mathbf{B} \cdot N a N_{2} \)
\( \mathbf{c} \cdot \operatorname{NaH} S O_{4} \)
D. None of these


Washing soda loses its crystal structure quickly


The correct matching is:
\( \mathbf{A} \cdot|-a,\|-b,\||-c, \mid V-d \)
\( B \cdot|-b,||-a,|||-d, \mid V-c \)
C. \( \mid-d,\|-c,\| I-b, I V-a \)
\( D \cdot|-b,||-c,|||-d, \mid V-a \)


Is the acceleration of a particle in uniform circular motion constant or
variable?
A. Variable
B. Constant
c. Sometimes constant
D. Always constant


The length of a rubber cord is \( l_{1} \) when
the tension is \( 4 N \) and \( l_{2} m \) when the
tension is \( 6 N . \) The length when the
tension is \( 9 N, \) is:
A \( \cdot\left(2.5 l_{2}-1.5 l_{1}\right) m \)
В \( \cdot\left(6 l_{2}-1.5 l_{1}\right) m \)
c. \( \left(3 l_{2}-2 l_{1}\right) m \)
D・ \( \left(3.5 l_{2}-2.5 l_{1}\right) m \)


The shape of \( \mathbf{X e} \mathbf{F}_{4} \) molecule
is
A. Tetrahedron
B. Square planar
c. Square pyramidal
D. Trigonal bipyramia


Let \( y=y(x) \) be the solution of the differential equation \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}+\boldsymbol{2} \boldsymbol{y}=\boldsymbol{f}(\boldsymbol{x}) \)
where \( \boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{ll}\mathbf{1}, & \boldsymbol{x} \in[\mathbf{0}, \mathbf{1}] \\ \mathbf{0}, & \text { otherwise }\end{array}\right. \)
If \( \boldsymbol{y}(\mathbf{0})=\mathbf{0}, \) then \( \boldsymbol{y}\left(\frac{\mathbf{3}}{\mathbf{2}}\right) \) is
\( ^{A} \cdot \frac{e^{2}-1}{2 e^{3}} \)
в. \( \frac{e^{2}-1}{e^{3}} \)
c. \( \frac{1}{2 e} \)
D. \( \frac{e^{2}+1}{2 e^{4}} \)


Which of the following statements about the Modern periodic table is
correct?
A. It has 18 horizontal rows known as periods
B. It has 7 vertical columns known as periods
c. It has 18 vertical columns known as groups
D. It has 7 horizontal rows known as groups


OPQR is a square and \( M, N \) are the
middle points of the sides \( P Q \) and \( Q R \)
respectively, then the ratio of the areas of the square and the \( \triangle O M N \) is
A . 4: 1
B . 2: 1
c. 8: 3
D. 7: 3


For the following circuit the potentia difference between \( x \) and \( y \) in volt is :-
4.10
в. 50
\( c \cdot 100 \)
2


What is the molecular geometry of the compound xenon hexafluoride?
A . Octahedral
B. Trigonal planar
c. Trigonal pyrimidal
D. Bent


Much of the household cleaning, that was once performed using soap, is now performed using synthetic detergents. A major advantage of synthetic detergents over soaps is that they:
A. have a lower resistance to bacterial decomposition
B. form soluble compounds with common metal ions
c. are non-polar and dissolve more readily in grease
D. are more readily synthesized from common fats and oils


In the triangle with vertices \( \boldsymbol{A}(\mathbf{1},-\mathbf{1}, \mathbf{2}), \boldsymbol{B}(\mathbf{5},-\mathbf{6}, \mathbf{2}) \) and \( \boldsymbol{C}(\mathbf{1}, \mathbf{3},-\mathbf{1}) \)
find the altitude \( n=|B D| \)
\( A \cdot 5 \)
B. 10
c. \( 5 \sqrt{2} \)
D. \( \frac{10}{\sqrt{2}} \)


A metal oxide is acidic when :
A \( \cdot \sqrt{\varphi}<2.1 \)
B . \( \sqrt{\varphi}=2.1 \) to 3.2
c. \( \sqrt{\varphi}>3.2 \)
D. None of these


25 students can do a job in 12 days, but on the starting day, five of them informed thet they are not coming. By what fraction will the number of days
required for doing the whole work get increased?
A \( \cdot \frac{3}{5} \)
B. \( \frac{3}{7} \)
\( c \cdot \frac{3}{4} \)
D.


The magnetic field in a plane electromagnetic wave is given by \( = \) \( 2 \times 10^{-7} \sin \left(0.5 \times 10^{3} x+1.5 \times 10^{11} t\right) \)
This electromagnetic wave is
A. Visible light
B. Infrared
c. Microwave
D. Radiowave


During alcoholic fermentation by yeast two molecules of glucose produce.
A \( \cdot 2 \) molecules of ethanol +2 molecules of \( C O_{2} \)
B. 4 molecules of ethanol +4 molecules of \( C O_{2} \)
C. 6 molecules of ethanol +6 molecules of \( C O_{2} \)
D. 3 molecules of ethanol +3 molecules of \( C O_{2} \)


(MCPB meta -chloro perbenzoic acid)
stereochemistry of the product of the above reaction is :
This question has multiple correct options
A . Meso
B. Racemic
C. Diastereomers
D. optically inactive due to absence of chiral center


An organic compound \( [A] \) having
molecular formula \( C_{2} H_{7} N \) on
treatment with nitrous acid gives a
compound \( [\boldsymbol{B}] \) having molecular
formula \( C_{2} H_{6} O .[B] \) on treatment with an organic compound \( [C] \) gives a carboxylic acid \( [D] \) and a sweet smelling compound \( [\boldsymbol{E}] . \) Oxidation of \( [\boldsymbol{B}] \) with acidified potassium dichromate also gives \( [\boldsymbol{D}] \) Identify \( [\boldsymbol{A}],[\boldsymbol{B}],[\boldsymbol{C}],[\boldsymbol{D}] \) and \( [\boldsymbol{E}] \)


A point near the equator has:
\( \mathbf{A} \cdot B_{V}>>B_{H} \)
\( \mathbf{B} \cdot B_{H}>>B_{V} \)
\( \mathbf{c} \cdot B_{V}=B_{H} \)
D \( . B_{V}=B_{H}=0 \)


C, respectively, are connected in series with an inductor of inductance \( L \)
Initially the capacitors have charge
such that \( V_{B}-V_{A}=4 V_{0} \) and \( V_{C}- \)
\( V_{D}=V_{0} . \) Initial current in the circuit is
zero. Find:
a. the maximum current that will flow in
the circuit.
b. the potential difference across each
capacitor at that instant.
\( \mathbf{A} \cdot I_{0}=V_{0} \sqrt{\frac{3 C}{L}} ; \mathbf{b} . V_{1}=3 V_{0}, V_{2}=3 V_{0} \)
B \( \cdot I_{0}=V_{0} \sqrt{\frac{6 C}{L}} ; \) b. \( V_{1}=3 V_{0}, V_{2}=3 V_{0} \)
C \( \cdot I_{0}=V_{0} \sqrt{\frac{3 C}{L}} ; \) b. \( V_{1}=1.5 V_{0}, V_{2}=3 V_{0} \)
D \( \cdot I_{0}=V_{0} \sqrt{\frac{6 C}{L}} ; \) b. \( V_{1}=1.5 V_{0}, V_{2}=3 V_{0} \)


Given that,
\( C_{(g r a p h i t e)} \rightarrow C_{(g)} ; \Delta H=+716.7 K J \)
\( C_{(\text {diamond })} \rightarrow C_{(g)} ; \Delta H=714.8 K J \)
The \( \Delta \mathrm{H} \) for the following reaction is
\( C_{(g r a p h i t e)} \rightarrow C_{(\text {diamond})} \)
\( \mathbf{A} \cdot \) 1.9 \( \mathrm{KJ} \)
B . -1.9 KJ
c. zero
D. 714.8 KJ


In which one of the following, male and female gametophytes do not have free living independent existence?
A. Pteris
B. Funaria
c. Polytrichum
D. cedrus


If differential equation of family of curves \( \boldsymbol{y} \ln |\boldsymbol{c} \boldsymbol{x}|=\boldsymbol{x}, \) where \( c \) is an
arbitrary constant, is \( \boldsymbol{y}^{\prime}=\frac{\boldsymbol{y}}{\boldsymbol{x}}+\boldsymbol{\phi}\left(\frac{\boldsymbol{x}}{\boldsymbol{y}}\right) \)
for some function \( \phi \), then \( \phi(2) \) is equal
to?


Using Nand twice of two inputs \( A \& B \) will give:
A. AND
в. ов
c. It can not be done
D. None of these


\( 2.8 \mathrm{g} \) of calcium oxide \( (\mathrm{CaO}) \) prepared by heating limestone was found to
contain \( 0.8 ~ g \) of oxygen. When one gram of oxygen was treated with calcium, 3.5 g of calcium oxide was obtained. Show
that the results illustrate the law of
definite proportions.


The first, second and last terms of an
A.P. are \( \alpha, \beta, \gamma \) respectively then the
sum of first \( n \) terms is
A. \( \beta+\gamma-2 \alpha \)
B. \( \frac{\beta+\gamma-2 \alpha}{\beta-\alpha} \)
C. \( \frac{\beta+\gamma+2 \alpha}{\beta+\alpha} \)
D. \( \frac{(\alpha+\gamma)(\beta+\gamma-2 \alpha)}{2(\beta-\alpha)} \)


Pyramid of energy is always upright, it
represents
A. There is increase in energy of ecosystem.
B. There is decrease in energy due to concentration in successive levels
C. There is decrease in energy due to loss in form of heat in each trophic level
D. There is increase in energy due to gain of heat in each trophic level.


The expression \( \cos ^{2}(A-B)+ \)
\( \cos ^{2} B-2 \cos (A-B) \cos A \cos B \)
A. dependent on \( B \) only.
B. dependent on \( A \) and \( B \).
c. dependent on \( A \) only.
D. independent of \( A \) and \( B \).


Photorespiratory reactions are operated
in the
A. Chloroplasts, ribosomes and peroxisomes.
B. Chloroplasts, mitochondria and peroxisomes.
C. Mitochondria, preoxisomes and lysosomes.
D. Mitochondria, chloroplasts and ribosomes.


The SI unit of retardation is
A. \( m / s^{2} \)
B. \( m / s \)
\( c \cdot m^{2} \)
\( D \cdot s^{2} \)


Which one of the following is a true peroxide?
A. \( \mathrm{PbO}_{2} \)
B. \( \mathrm{MnO}_{2} \)
\( c \cdot \mathrm{cO}_{2} \)
D. \( \mathrm{H}_{2} \mathrm{O}_{2} \)


The equilibrium constant for the reaction \( \boldsymbol{A} \boldsymbol{g} \boldsymbol{C l}_{s} \rightleftharpoons \boldsymbol{A} \boldsymbol{g}_{(a q)}^{+}+\boldsymbol{C l}_{(a q)}^{-} \) is
\( x \times 10^{-10} . \) Then, the value of \( x \) is :
(Given \( : \Delta G_{f(A g C l)}^{0}=-109.7 k J \)
\( \Delta G_{f\left(A g^{+}\right)}^{0}=\mathbf{7 7 . 1 k J} ; \Delta G_{f\left(C l^{-}\right)}^{0}= \)
\( -131.2 k J) \)


A volume of 50 lof dry \( N_{2} \) is passed
through \( 36 g \) of water at 300 K. After
passage of gas, there is a loss of 1.20 g in water. The vapour pressure of water at \( 300 \mathrm{K} \) is?
в. \( 24.96 \mathrm{mm} \) Н \( \mathrm{g} \)
c. \( 16.05 \mathrm{mm} \) нв
D. \( 38.73 \mathrm{mm} \) Hg


If roots of the equations \( (b-c) x^{2}+ \)
\( (c-a) x+a-b=0, \) where \( b \neq c, \) are
equal, then a, b, c are in?
A. G.P
B. H.P.
\( c \cdot \) A.P
D. A.G.P.


If \( 2 x+3 y=6 \sqrt{3} \) and \( 2 x-3 y=6, \) find
the value of \( x y ? \)
A. \( x y=3 \)
в. \( x y=2 \)
c. \( x y=1 \)
D. \( x y=7 \)


In the figure on your right, 0 is the centre of the circle State
Which of the line segment are chords?


Name two devices based on the
magnetic effect of electricity.


If the escape velocity on earth is 11.2km / sec, its value for a planet having double the radius and 8 times the mass of earth is \( \ldots . \boldsymbol{m} / \boldsymbol{s e c} \)
A . \( 11.2 \mathrm{km} / \mathrm{sec} \)
B. 22.4 km/sec
c. \( 5.6 \mathrm{km} / \mathrm{seco} \)
D. \( 8 \mathrm{km} / \mathrm{sec} \)


The catenation tendency of \( C, \) Si and
Ge is in the order \( G e<S i<C \). The
bond energies \( \left(\text { in } k J m o l^{-1}\right) \) of \( C- \)
\( C, S i-S i \) and \( G e-G e \) bonds
respectively are:
A. 348,167,180
B. 348,180,167
c. 167,180,348
D. 180,167,348


Find \( x, \) if it is known that the second
term of the expansion of \( \left(x+x^{\log x}\right)^{5} \) is
equal to 1000000


Consider an experiment where Electric current is flowing in a wire. It is observed that clockwise magnetic field is produced around the wire. A teacher decides to reverse the direction of
source battery which results in reversal
of electrical current. What will be the
effect on magnetic field?
A. Magnetic field disappears
B. Direction of field lines reverse
C. Field lines changes direction to parallel to wire
D. None of the above


\( \sin \left(\log i^{i}\right)=a+i b \cdot \) Find \( a \) and \( b \)


For the reaction, \( 2 N O \rightarrow N_{2}+O_{2} \) the
zpression, \( -\frac{1}{2} \frac{d[N O]}{d t} \) represents:
A. the rate of formation of NO
B. the average rate of the reaction
c. the instantaneous rate of reaction
D. all of the above


\( A B, A_{2}, \) and \( B_{2} \) are diatomic molecules. If the bond enthalpies of
\( A_{2}, A B, \) and \( B_{2} \) are in the ratio 2: 2: 1
and ethalpy of formation \( A B \) from \( A_{2} \)
and \( B_{2} \) is \( -100 k J \) mol \( ^{-1} . \) What is the
bond energy of \( \boldsymbol{A}_{2} ? \)
В. \( 100 k J \) mol\( ^{-1} \)
c. \( 300 k J \) mol\( ^{-1} \)
D. \( 400 \mathrm{kJ} \mathrm{mol}^{-1} \)


Statement: Teflon doesn't stick to the
materials and can be easily used in non-sticky pans and other cookware.
A. True
B. False


ff \( (x)=-x^{2}+1, g(x)=-\sqrt[3]{x} \) then
(gofogofogogog) \( (x) \) is.
A. an odd function
B. an even function
c. a polynomial function
D. an identity function


Which of the following is considered to be ananticancer species:
\( A \)
B.
\( c \)
D.


Define : Standard electrode potential.


In a winter season, a block is formed of
concrete of the volume \( 2.0 \mathrm{m}^{3} \) at the
temperature \( 5^{\circ} \mathrm{C} \). Calculate the change
in volume of the block at the
temperature \( 35^{\circ} C \) during summer day given that its coefficient of volume
expansion is \( 4.0 \times 10^{-5} /^{\circ} \mathrm{C} \)
A \( .160 \mathrm{cm}^{3} \)
В. \( 1,200 \mathrm{cm}^{3} \)
C \( .1,600 \mathrm{cm}^{3} \)
D. \( 2,400 \mathrm{cm}^{3} \)
E. \( 3,200 \mathrm{cm}^{3} \)


Simplify:
\( (\boldsymbol{a}+\boldsymbol{b}+\boldsymbol{c})^{2}+(\boldsymbol{a}-\boldsymbol{b}+\boldsymbol{c})^{2}+ \)
\( (a+b-c)^{2} \)


Three cards are drawn successively with replacement from a well shuffled pack of 52 cards. Find the probability distribution of the number of spades
Hence find the mean of the distribution


Which of the following is NOT an isotope of uranium?
B \( \cdot \frac{235}{91} \mathrm{U} \)
\( \mathrm{c} \cdot_{92}^{239} \mathrm{U} \)
D. \( \frac{235}{92} \mathrm{U} \)
E \( \cdot \frac{238}{92} \mathrm{U} \)


the displacement-time graph of two
objects a and b moving with zero
relative speed?
\( A \)
B.
\( c \)
D. None of these


A source of \( 220 \mathrm{V} \) is applied in an \( \mathrm{A} . \mathrm{C} \) circuit. The value of resistance is \( 220 \Omega \)
Frequency \( \& \) inductance are \( 50 \mathrm{Hz} \) and
0.7 H, then wattless current is
A . \( 0.5 a m p \)
в. \( 0.7 a m p \)
c. \( 1.0 a m p \)
\( D \cdot \) none


"As \( ^{3+} \) salts are oxidising agents white
\( B i^{5+} \) salts are reducing agents." Answer whether the above statement is
true or false.
If true enter 1 , else enter 0 .


Given are some figures. Classify each of
these figures on the basis of the following:
(i) simple curve
(ii) simple closed curve (iii) polygon
(iv) Convex polygon
(iv) convex polygon
(v) concave polygon
(vi) Not a curve


Vector \( \vec{a} \) has components \( \boldsymbol{a}_{\boldsymbol{x}}=\mathbf{3}, \boldsymbol{a}_{\boldsymbol{y}}= \)
4. Find the components of a vector \( \overrightarrow{\boldsymbol{c}} \)
which is perpendicular to \( \vec{a} \) and has a
magnitude of 5 units.
A \( \cdot c_{x}=\pm 4, c_{y}=\mp 3 \)
B . \( c_{x}=\pm 3, c_{y}=\mp 4 \)
C \( \cdot c_{x}=\pm 2, c_{y}=\mp 3 \)
D. \( c_{x}=\pm 3, c_{y}=\mp 2 \)


The area of coloured paper required to completely cover a solid cubical box of
\( \operatorname{edge}^{\prime} x^{\prime} \) units is :
A \( \cdot 4 x^{2} \)
В. \( 5 x^{2} \)
\( c \cdot 6 x^{2} \)
\( D \cdot 8 x^{2} \)