AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
A boy throws balls into air at regular
interval of 2 second. The next ball is
thrown when the velocity of first ball is zero. How high do the ball rise above his
hand? [Take \( \left.\boldsymbol{g}=\mathbf{9 . 8} \boldsymbol{m} / \boldsymbol{s}^{2}\right] \)
A . \( 4.9 \mathrm{m} \)
B. \( 9.8 m \)
c. \( 19.6 m \)
D. 29.4 \( m \)
Subject: Physics
Assertion
Average velocity of the body may be equal to its instantaneous velocity at all
points of time.
Reason
If a body is having uniform motion in
one dimension, then velocity is constant
and average velocity can be equal to instantaneous velocity
A. Both Assertion and Reason are true and Reason is the correct explanation for Assertion.
B. Both Assertion and Reason are true but Reason is not the correct explanation for Assertion.
C. Assertion is true, but Reason is false.
D. Assertion is false, but the Reason is true.
Subject: Chemistry
Calculate the temperature of a hydrogen-oxygen flame assuming that
the gases at \( 25^{\circ} \mathrm{C} \) are mixed in stoichiometric proportion and react
completely to give \( H_{2} O(g) . \Delta H_{298}^{\circ} \) of combustion of \( \boldsymbol{H}_{2} \) is \( -\mathbf{5 8} \) kcal \( \boldsymbol{m o l}^{-1} \)
The reaction is at constant pressure
and the \( C_{p} \) values are \( (7 / 2) R \) for each
gas. \( (\boldsymbol{R}=\mathbf{2} \boldsymbol{c} \boldsymbol{a} \boldsymbol{l}) \)
A. \( 8583.71 K \)
B . \( 9583.71 K \)
c. \( 4283.71 \mathrm{K} \)
D. None of the above
Subject: Chemistry
Contains carbon that are \( s p^{2} \)
hybridized:
\( \mathbf{A} \cdot C_{2} H_{5} \)
B. \( C_{2} H_{4} \)
c. \( C_{2} H_{2} \)
D. \( C_{2} H_{5} O H \)
E \( \cdot C_{3} H_{8} \)
Subject: Physics
Q Type your question.
negligible resistance (Fig 3.126). The
rails are connected to each other at the
bottom by a resistanceless rail paralle
to the wire so that the wire and the rails
form a closed rectangular conducting
loop. The plane of the rails makes an
angle \( \theta \) with the horizontal and a
uniform vertical magnetic field of
induction B exist throughout the region.
Find the steady-state velocity of the
wire.
A. \( m g=\sin \theta \)
B. \( \frac{m g}{R} \frac{\sin ^{2} \theta}{B^{2} l^{2} \cos ^{2} \theta} \)
c. \( \frac{m g R \sin \theta}{B^{2} l^{2} \cos ^{2} \theta} \)
D. \( \operatorname{mgr} \frac{\sin ^{2} \theta}{B^{2} / 2 \cos \theta} \)
Subject: Maths
ff \( x+2 y+3 z=0 \) and \( x^{3}+4 y^{3}+ \)
\( \mathbf{9} z^{3}=18 x y z ; \) evaluate:
\( \frac{(x+2 y)^{2}}{x y}+\frac{(2 y+3 z)^{2}}{y z}+ \)
\( \frac{(3 z+x)^{2}}{z x} \)
A . 18
B. 23
c. 16
D. 11
Subject: Physics
A particle starts from the origin at \( t=0 \)
and moves in the \( x \) -y plane which constant acceleration 'a' in the \( y \)
direction. An equation of motion is \( y= \)
\( b x^{2} . \) The \( x \) -components of its velocity is?
A. Variable
B. \( \sqrt{\frac{2 a}{b}} \)
c. \( \frac{a}{2 b} \)
D. \( \sqrt{\frac{a}{2 b}} \)
Subject: Chemistry
Give \( I U P A C \) name of following
compound.
\( \boldsymbol{C H}_{3}-\boldsymbol{C H}=\boldsymbol{C H}-\boldsymbol{C H}=\boldsymbol{C H}- \)
\( \boldsymbol{C} \equiv \boldsymbol{C}-\boldsymbol{C} \boldsymbol{H}_{3} \)
Subject: Chemistry
\( \boldsymbol{C}_{4} \boldsymbol{H}_{10}(\boldsymbol{g})+\boldsymbol{O}_{2}(\boldsymbol{g}) \rightarrow \boldsymbol{C} \boldsymbol{O}_{2}(\boldsymbol{g})+ \)
\( \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{l}) \)
Find the coefficient of \( C O_{2} \), when the
above equation is balanced using the lowest whole-number terms?
\( A \cdot 4 \)
B. 2
\( c \cdot 13 \)
D. 10
E. 8
Subject: Physics
If emf induced in a coil is \( 2 V \) by
changing the current in it from \( 8 A \) to
\( 6 A \) in \( 2 \times 10^{-3} s, \) then the coefficient of
self induction is
A \( \cdot 2 \times 10^{-3} H \)
в. \( 10^{-3} H \)
c. \( 0.5 \times 10^{-3} H \)
D. \( 4 \times 10^{-3} H \)
Subject: Physics
A current of \( I \) ampere flows through a resistance \( R \) when connected across a
cell of emf \( E \) and internal resistance \( 1 \Omega \)
When \( R \) is increased by \( 50 \% \), the
current through the circuit is \( 0.8 A . \) The
value of \( \boldsymbol{R} \) is :
A . \( 1 \Omega \)
B. \( 1.5 \Omega \)
\( c .2 \Omega \)
D. 4\Omega
Subject: Maths
\( \int \frac{\sec ^{2} x d x}{\sqrt{\tan ^{2} x+4}}= \)
A \( \cdot \ln (\tan x+\sqrt{\tan ^{2} x+4})+C \)
B. \( \frac{1}{2} \ln (\tan x+\sqrt{\tan ^{2} x+4})+C \)
c. \( \ln \left(\frac{1}{2} \tan x+\frac{1}{2} \sqrt{\tan ^{2} x+4}\right)+C \)
D. None of these
Subject: Chemistry
Two solutions of \( K N O_{3} \) and
\( \boldsymbol{C H}_{3} \boldsymbol{C O O H} \) are prepared
seperately.The molarity of both is \( 0.1 M \)
and osmotic pressure is \( \boldsymbol{P}_{1} \) and \( \boldsymbol{P}_{2} \) respectively. The correct relationship between the
osmotic pressure is :
A \( \cdot P_{2}>P_{1} \)
В. \( P_{1}=P_{2} \)
\( \mathbf{c} \cdot P_{1}>P_{2} \)
D. \( \frac{P_{1}}{P_{1}+P_{2}}=\frac{P_{2}}{P_{1}+P_{2}} \)
Subject: Biology
List the hormones secreted by the following:
(a) Hypothalamus
(b) Pituitary
(c) Thyroid
(d) Parathyroid
(e) Adrenal
(f) Pancreas
(g) Testis
(h) Ovary
(i) Thymus
(j) Atrium
(k) Kidney
(i) G-l Tract
Subject: Chemistry
On passing a current through molten KCI \( 19.5 \mathrm{g} \) of \( \mathrm{K} \) is deposited. The amount of \( \mathrm{Al} \) deposited by the same quantity of electricity if passed through molten AlCl
is :
A. \( 4.5 \mathrm{g} \)
B. \( 9.0 \mathrm{g} \)
c. \( 13.5 \mathrm{g} \)
D. 27 g
Subject: Physics
The logic expression which is NOT true in Boolean algebra is
\( \mathbf{A} \cdot[\overline{1}+\overline{1}] \cdot 1=0 \)
В. \( [\overline{1}+0] .1=0 \)
c. \( [\overline{1}+0] . \overline{1}=0 \)
D. \( [1+1] .1=0 \)
Subject: Maths
The value of \( \cot 16^{\circ} \cot 44^{\circ}+ \)
\( \cot 44^{\circ} \cot 76^{\circ}-\cot 76^{\circ} \cot 16^{\circ} \) is
A . 3
B. \( \frac{1}{3} \)
\( c \cdot-\frac{1}{3} \)
D. - 3
Subject: Chemistry
Number of oxygen atoms present in 1 gram of calcium carbonate is:
A \( \cdot 6 \times 10^{2} \)
1
B . \( 1.8 \times 10^{22} \)
\( c \cdot 6 \times 10^{2} \)
2
D. \( 8 \times 10^{22} \)
Subject: Chemistry
Assertion: An orbital designated by \( n= \) \( \mathbf{3}, l=\mathbf{1} \) has double dumb-bell shape
Reason: It belongs to p-subshell.
A. Both assertion and reason are true and the reason is a correct explanation of the assertion.
B. Both assertion and reason are true but reason is not a correct explanation of the assertion
c. Assertion is true but reason is false
D. Both the assertion and reason are false
E. Assertion is false but the reason is true
Subject: Chemistry
Assertion
For the reaction \( R C l+N a O H(a q) \rightarrow \)
ROH \( + \) Na \( C l \), the rate of reaction is
reduced to half on reducing the concentration of RCl to half.
Reason
The rate of the reaction is represented by k[RCl], i.e., it is a first order 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
Subject: Physics
A \( 20 g \) bullet passes through a plate of
mass \( 1 k g \) and finally comes to rest
inside another plate of mass \( 2980 g \). It
makes the plates move from rest to
same velocity. The percentage loss in velocity of bullet between the plate is:
\( A \)
B . \( 50 \% \)
\( c .75 \% \)
D. \( 25 \% \)
Subject: Chemistry
The radius of the stationary state which is also called Bohr radius is given by the
expression \( r_{n}=n^{2} a_{0} \) where the value
of \( a_{0} \) is:
A. 52.9 pm
B. 5.29 pm
c. \( 529 \mathrm{pm} \)
D. 0.529 pm
Subject: Chemistry
Given are cyclohexanol \( (I), \) acetic acid \( (I I) 2,4,6- \) trinitrophenol \( (I I I) \) and phenol \( (I V) . \) In these the order of decreasing acidic character will be:
A \( , I I I>I I>I V>I \)
\( I \)
В. \( I I>I I I>I>I V \)
c. \( I I>I I I>I V>I \)
D. \( I I I>I V>I I>I \)
Subject: Physics
Two planets have radii \( r_{1} \) and \( r_{2} \) and
their densities are \( \rho_{1} \) and \( \rho_{2} \)
respectively. The ratio of acceleration due to gravity on them will be.
A \( \cdot r_{1} \rho_{1}: r_{2} \rho_{2} \)
B \( \cdot r_{1} \rho_{1}^{2}: r_{2} \rho_{2}^{2} \)
\( \mathbf{c} \cdot r_{1}^{2} \rho_{1}: r_{2}^{2} \rho_{2} \)
D \( \cdot r_{1} \rho_{2}: r_{2} \rho_{1} \)
Subject: Chemistry
Draw products formed in each of the
following reaction and indicate
stereochemistry.
\( (a) \)
\( (b) \)
\( \frac{(\mathrm{i}) \mathrm{HC} \equiv \mathrm{C}^{-}}{(\mathrm{ii}) \mathrm{H}_{2} \mathrm{O}} \)
\( (c) \)
\( (d) \)
\( \frac{(\mathrm{i}) \mathrm{HC} \equiv \mathrm{C}^{-}}{(\mathrm{ii}) \mathrm{H}_{2} \mathrm{O}} \)
Subject: Physics
A sphere of aluminium of mass 0.047 kg placed for sufficient time in a vessel containing boiling water, so that the
sphere is at \( 100^{\circ} \mathrm{C} \).It is then immediately transferred to \( 0.14 \mathrm{kg} \) copper calorimeter containing \( 0.25 \mathrm{kg} \) of water at \( 20^{\circ} \mathrm{C} \). The temperature of water rises and attains a steady state
at \( 23^{\circ} C \). Calculate the specific \( h \) capacity of aluminium. Given :specific heat capacity of water is 4186 \( J k g^{-1} K^{-1} \) specific heat capacity of copper calorimeter is 385 Jkg\( ^{-1} \boldsymbol{K}^{-1} \)
Subject: Maths
Derivative of \( 2 \tan x-7 \sec x \) with
respect to \( x \) is:
\( \mathbf{A} \cdot 2 \sec x+7 \tan x \)
B. \( \sec x(2 \sec x+\tan x) \)
c. \( 2 \sec ^{2} x+\sec x \). tan \( x \)
D. \( \sec x(2 \sec x-7 \tan x) \)
Subject: Chemistry
The pH of solution containing \( 0.10 M \)
sodium acetate and \( 0.03 M \) acetic acid
is: \( \left(p K_{a} \text { for } C H_{3} C O O H=4.57\right) \)
A . 4.09
B. 6.09
c. 5.09
D. 7.09
Subject: Physics
Which of the following statement are
true?
A. Charge \( q_{3} \) applies a large force on charge \( q_{2} \) than on
charge \( q_{1} \)
B. Charge \( q_{3} \) applies a smaller force on charge \( q_{2} \) than on
charge \( q_{1} \)
C. Charge \( q_{3} \) applies equal force on bothy the charges.
D. Charge \( q_{3} \) applies no force on any of the charges.
Subject: Physics
A particle performs linear S.H.M. At a particular instant, velocity of the
particle is \( ^{\prime} u^{\prime} \) and acceleration is \( ^{\prime} \alpha^{\prime} \)
while at another instant velocity is \( ^{\prime} v^{\prime} \)
and acceleration is \( ^{\prime} \boldsymbol{\beta}^{\prime}(\mathbf{0}<\boldsymbol{\alpha}<\boldsymbol{\beta}) . \) The
distance between the two positions is
A \( \cdot \frac{u^{2}-v^{2}}{\alpha+\beta} \)
в. \( \frac{u^{2}+v^{2}}{\alpha+\beta} \)
c. \( \frac{u^{2}-v^{2}}{\alpha-\beta} \)
D. \( \frac{u^{2}+v^{2}}{\alpha-\beta} \)
Subject: Physics
A particle of mass \( m \) is executing S.H.M.
of time period \( T, \) and amplitude \( a_{0} . \) The
force on particle at the mean position is:
A \( \cdot \frac{4 \pi^{2} m}{T^{2}} a_{0} \)
\( ^{\text {В } \cdot \frac{2 \pi^{2} m}{T^{2}} a_{0}} \)
c. zero
D. \( \frac{\pi^{2} m a_{0}}{T^{2}} \)
Subject: Maths
If \( \overrightarrow{\boldsymbol{a}}=2 \hat{\boldsymbol{i}}+\hat{\boldsymbol{j}}+\hat{\boldsymbol{k}}, \overrightarrow{\boldsymbol{b}}=\boldsymbol{3} \hat{\boldsymbol{i}}-\boldsymbol{4} \hat{\boldsymbol{j}}+ \)
\( \mathbf{2} \hat{\boldsymbol{k}}, \overrightarrow{\boldsymbol{c}}=\hat{\boldsymbol{i}}-\mathbf{2} \hat{\boldsymbol{j}}+\mathbf{2} \hat{\boldsymbol{k}} \) then the projection
of \( \vec{a}+\vec{b} \) on \( \vec{c} \) is
A \( \cdot \frac{17}{3} \)
в.
\( c \cdot \frac{4}{3} \)
D. \( \frac{17}{\sqrt{43}} \)
Subject: Physics
The uncharged metallic sphere \( \mathbf{A} \)
suspended as shown in the given figure
is given a push so that it moves towards the +ve plate. Which of the following statements is correct?
A. A touches the positive plate and remains in contact with it
B. A touches positive plate and then moves towards negative plate and remains in contact with it.
C. A moves to and fro between the two plates with a constant time period
D. A moves to and fro between the two plates with an increasing time period.
Subject: Physics
A red LED emits light at \( 0.1 W \) uniformly around it. The amplitude of the electric filed of the light at a
distance of \( 1 ~ m \) form the diode is:
A. \( 1.73 \mathrm{V} / \mathrm{m} \)
в. \( 2.45 \mathrm{V} / \mathrm{m} \)
c. \( 5.48 \mathrm{V} / \mathrm{m} \)
D. \( 7.75 V / m \)
Subject: Maths
If \( \boldsymbol{f}:[-\boldsymbol{2}, \boldsymbol{2}] \rightarrow \boldsymbol{R} \) is defined by \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left\{\begin{array}{ll}\frac{\sqrt{1+e x}-\sqrt{1-e x}}{x} & \text { for }-2 \leq x< \\ \frac{x+3}{x+1} & \text { for } 0 \leq x \leq\end{array}\right. \)
is continuous on \( [-2,2], \) then \( e= \)
A \( \cdot \frac{2}{\sqrt{3}} \)
B. 3
\( c \cdot \frac{3}{2} \)
D. \( \frac{3}{\sqrt{2}} \)
Subject: Physics
The capacity of a parallel plate condenser
consisting of two plates each of \( 10 \mathrm{cm}^{2} \)
separated by a distance of \( 2 \mathrm{mm} \) is:
(Take air as the medium between the
plates
A \( \cdot 8.85 \times 10^{-13} F \)
В. \( 4.42 \times 10^{-12} \mathrm{F} \)
c. \( 44.25 \times 10^{-12} F \)
D. \( 88.5 \times 10^{-13} F \)
Subject: Maths
The value of \( \lim _{x \rightarrow b} \frac{\sqrt{x-a}-\sqrt{b-a}}{x^{2}-b^{2}} \) for
\( b>a \) is
A \( \cdot \frac{1}{4 b \sqrt{a-b}} \)
В. \( \frac{1}{4 b \sqrt{b-a}} \)
c. \( \frac{1}{4 a \sqrt{a-b}} \)
D. \( \frac{1}{b \sqrt{b-a}} \)
Subject: Physics
A ball of mass \( 1 k g \) is at rest in position
P by means of two light stings OP and
RP. The string RP is now cut and the ball
swings to position Q. Find the tensions in the strings in positions OP (when RP
was not cut ) and OQ(when RP was cut)
(Take \( \left.g=10 m / s^{2}\right) \)
Subject: Physics
An external force \( F \) acts horizontally on
a box of mass \( m \) at a height \( h \). If the
\( C M \) of the box is situated at a height \( c \)
find the:
minimum value of \( F \) so as to topple the
box
\( ^{A} \cdot \frac{m g b}{2 h} \)
в. \( \frac{m g b}{b} \)
\( c \cdot \frac{m g b}{3 b} \)
D. \( \frac{m g b}{4 b} \)
Subject: Chemistry
Select the correct statements about
SHE:
This question has multiple correct options
\( \mathbf{A} \cdot \) The \( E_{O P}^{o} / R_{R P}^{o} \) for SHE has been arbitrarily assigned to be zero at all temperatures.
B. SHE refers for \( P t, H_{2}(g) \mid H^{+}(a q) \)
C. SHE is very susceptible to electrode poisoning.
D. SHE is very susceptible to dissolved oxygen, \( \mathrm{H}_{2} \mathrm{S} \) and all other reducing species.
Subject: Chemistry
The number of isomers possible for
square planar complex \( \boldsymbol{K}_{2}\left[\boldsymbol{P} d \boldsymbol{C l} \boldsymbol{B} \boldsymbol{r}_{2} \boldsymbol{S} \boldsymbol{C} \boldsymbol{N}\right] \) is:
\( A \cdot 2 \)
B. 3
\( c \cdot 4 \)
D.
Subject: Chemistry
Five isomeric alkenes (all positional
isomers) \( A \) to \( E, \) all on catalytic
hydrogenation with \( \boldsymbol{H}_{2} / \boldsymbol{P} \boldsymbol{t} \) gives the
same optically active alkane \( \boldsymbol{F} \). Only \( \mathbf{A} \)
and \( \mathrm{B} \) are optically active and \( A \) liberate
more heat on hydrogenation than \( \boldsymbol{B} . \boldsymbol{C} \) show geometrical isomerism. \( \boldsymbol{E} \) evolves
more heat on hydrogenation than \( D \)
Alkene liberating least heat on hydrogenation is:
\( \mathbf{A} \cdot B \)
B. \( C \)
c. \( D \)
D. \( E \)
Subject: Physics
While you are traveling in a car on a straight road at \( 90 k m / h, \) another car passes you in the same direction; its
speedometer reads \( 120 k m / h \). What is your velocity relative to the other driver? (in \( \mathrm{km} / \mathrm{h}) \)
A . 30
B. -30
\( c \cdot 210 \)
D. -210
Subject: Physics
In a hydraulic lift, used at a service station the radius of the large and small piston are in the ratio of \( 20: 1 . \) What
weight placed on the small piston will be sufficient to lift a car of mass 1500
kg?
A. \( 3.75 \mathrm{kg} \)
B. 37.5 kgg \( g \)
c. \( 7.5 \mathrm{kg} \)
D. 75 kg
Subject: Physics
The position vector of a particle of mass \( \boldsymbol{m}=\mathbf{6 k g} \) is given as \( \overrightarrow{\boldsymbol{r}}=\left[\left(\boldsymbol{3} \boldsymbol{t}^{2}-\boldsymbol{6} \boldsymbol{t}\right) \hat{\boldsymbol{i}}+\right. \)
\( \left.\left(-4 t^{3}\right) \hat{j}\right] \) m. Find
(i) the force \( (\vec{F}=m \vec{a}) \) acting on the
particle.
(ii) the torque \( (\vec{\tau}=\vec{r} \times \vec{F}) \) with respect
to the origin, acting on the particle.
(iii) the momentum \( (\vec{p}=m \vec{v}) \) of the
particle.
(iv) the angular momentum \( (\vec{L}=\vec{r} \times \vec{p}) \) of the particle with respect
to the origin.
A \( \cdot\left(\text { i) }(36 \hat{i}-144 t \hat{j}) N \text { (ii) }\left(-288 t^{3}+864 t^{2}\right) \hat{k} \text { (iii) }(36 t-\right. \)
36)\( \hat{i}-72 t^{2} \hat{j}(\text { iv })\left(-72 t^{4}+288 t^{3}\right) \hat{k} \)
B . (i) (63 \( i-144 t \hat{j}) N \) (ii) \( \left(-288 t^{3}+864 t^{2}\right) \hat{k} \) (iii) \( (36 t- \) 36)\( \hat{i}-72 t^{2} \hat{j}(\text { iv })\left(-72 t^{4}+288 t^{3}\right) \hat{k} \)
C . (i) (36 \( \hat{i}-144 \text { tj }) N \) (ii) \( \left(-28 t^{3}+84 t^{2}\right) \hat{k} \) (iii) \( (36 t- \) 36)\( \hat{i}-72 t^{2} \hat{j}(\text { iv })\left(-72 t^{4}+288 t^{3}\right) \hat{k} \)
D . (i) (36 \( \hat{i}-144 t \hat{j}) N \) (ii) \( \left(-288 t^{3}+864 t^{2}\right) \hat{k} \) (iii) \( (3 t- \) 6)\( \hat{i}-72 t^{2} \hat{j} \) (iv) \( \left(-72 t^{4}+288 t^{3}\right) \hat{k} \)
Subject: Physics
A metallic wire of young's modulus Y
and poisson's ratio \( \sigma \), length L and area of cross section A is stretched by a load of W kg. The increase in volume of the wire is:
\( \mathbf{A} \cdot \sigma\left(W^{2} L / 2 A Y^{2}\right) \)
В \( \cdot \sigma\left(W^{2} L / A Y^{2}\right) \)
c. \( \sigma\left(W^{2} L / 4 A Y^{2}\right) \)
D \( \cdot \sigma\left(2 W^{2} L / A Y^{2}\right) \)
Subject: Maths
For hyperbola \( \frac{x^{2}}{\cos ^{2} a}-\frac{y^{2}}{\sin ^{2} a}=1 \)
which of the following remains constant with change in 'a'?
A. Abscissae of vertices
B. Abscissae of foci
c. Eccentricity
D. Directrix
Subject: Physics
A \( 1500 k g \) car is initially moving with
speed \( 30 m / s . \) Suddenly, a rock falls
onto the road ahead.

The maximum coefficient of friction
between the car tires and the roads is
\( \mu=0.7 \)
Approximately how much distance will the car need to stop to avoid hitting the rock?
\( \mathbf{A} \cdot 22 m \)
B. \( 46 m \)
c. \( 66 m \)
D. \( 87 m \)
E . \( 131 m \)
Subject: Maths
If \( \left(\tan ^{-1} x\right)^{2}+\left(\cot ^{-1} x\right)^{2}=\frac{5 \pi^{2}}{8}, \) then
\( \boldsymbol{x}= \)
A . -1
B.
\( c \cdot 0 \)
D.
Subject: Physics
A current of \( 1 A \) flowing along positive \( x \) axis through a straight wire of length \( 0.5 m \) placed in a region of a magnetic field given by \( \vec{B}=(2 \hat{i}+4 \hat{j}) \) T. The
magnitude and direction of the force experienced by the wire respectively
are:
A. \( \sqrt{18} N, \) along positive \( z \) axis
B. \( \sqrt{20} N \), along positive \( x \) axis
c. \( 2 N \) along positive z axis
D. \( 4 N \) along positive Y axis
Subject: Physics
In a meter bridge experiment \( S \) is a
standard resistance. \( \boldsymbol{R} \) is a resistance
wire. It is found that balancing length is \( l=25 \mathrm{cm} . \) If \( R \) is replaced by a wire of
half length and half diameter that of \( \boldsymbol{R} \)
of same material, then the balancing
distance \( \left.l^{\prime} \text { (in } c m\right) \) will now be
Subject: Physics
A moving block having mass \( \mathrm{m} \), collides with another stationary block having mass \( 4 \mathrm{m} \). The lighter block comes to rest after collision. When the initial
velocity of the lighter block is \( v \), then the value of coefficient of restitution (e) will
be:
A . 0.8
B. 0.5
\( c .0 .4 \)
D. 0.25
Subject: Biology
Study the lists and find the correct
match
(a)
(b) \( \begin{array}{lll}\text { I } & & \text { II } \\ \text { BOD } & \text { (i) } & \text { Treatment of sewage } \\ \text { KVIC } & \text { (ii) } & \begin{array}{l}\text { Measure of organic } \\ \text { matter in water }\end{array} \\ \text { LAB } & \text { (iii) } & \begin{array}{l}\text { Biological methods } \\ \text { for controlling plant } \\ \text { diseases }\end{array} \\ \text { STPS } & \text { (iv) } & \text { Increases vitamin B }_{12} \\ & \text { (v) } & \text { Production of biogas }\end{array} \)
(c)
(d)
b-iii, c-ii, d-v
\( A \cdot a-i v \)
b-ii, c-iii, d-i
B. a-v,
c. a-ii, b-i, c-iv, d-v
D. a-ii, b-v, c-iv, d-i
Subject: Chemistry
Assertion
\( \boldsymbol{H}_{2}+\boldsymbol{O}_{2} \) fuel cell gives a constant
voltage throughout its life.
Reason
In this fuel cell, \( H_{2} \) reacts with \( O H^{-} \) ions, yet the overall concentration of
\( O H^{-} \) ions does not change
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
Subject: Physics
A parallel plate condenser with a dielectric constant \( K \) between the
plates has a capacity \( C \) and is charged
to a potential \( V \) volt. The dielectric slab is slowly removed from, between the
plates and then reinserted. The net work
done by the system in this process is
A. zero
в. \( \frac{1}{2}(K-1) C V^{2} \)
c. \( \frac{C V^{2}(K-1)}{K} \)
D \( \cdot(K-1) C V^{2} \)
Subject: Maths
A and B play a game in which \( \mathbf{A}^{\prime} \) s chance of winning is \( \frac{1}{5} \) in a series of 6
games, the probability that A will win
all the 6 games is
\( ^{\mathrm{A}} \cdot_{\frac{6}{2} C}\left(\frac{1}{5}\right)^{6} \)
\( ^{\mathrm{B}} \cdot_{6}^{6} C\left(\frac{1}{5}\right)^{6}\left(\frac{4}{5}\right)^{0} \)
\( ^{\mathbf{C}} \cdot\left(\frac{4}{5}\right)^{6} \)
\( ^{\mathrm{D} \cdot}_{^{6}} C\left(\frac{1}{5}\right)^{5}\left(\frac{4}{5}\right) \)
Subject: Maths
If \( \boldsymbol{m}\left[\begin{array}{ll}-\mathbf{3} & \mathbf{4}\end{array}\right]+\boldsymbol{n}\left[\begin{array}{ll}\mathbf{4} & -\mathbf{3}\end{array}\right]=\left[\begin{array}{ll}\mathbf{1 0} & -\mathbf{1 1}\end{array}\right] \)
then \( 3 m+7 n= \)
\( A \cdot 3 \)
B. 5
c. 10
\( D \)
Subject: Chemistry
Which of the following statements is true about hydrogen bonding?
A. \( C l \) and \( N \) have comparable electronegativities yet there is no \( H \) -bonding in \( H C I \) because size of \( C l \) is large
B. Intermolecular \( H \) - bonding results in decrease in \( \mathrm{m} \). and b.
C . lce has maximum density at \( 0^{\circ} \mathrm{C} \) due to \( H \) -bonding
D. \( K H C l_{2}\left(H C l_{2}^{-}\right) \) exists but \( K H F_{2}\left(H F_{2}^{-}\right) \) does not exist due to lack of \( H \) -bonding in \( H C l \)
Subject: Physics
The least count of a stop watch is \( \frac{1}{5} s \)
The time of 20 oscillations of a
pendulum is measured to be \( 25 s \). What is the maximum percentage error in this measurement?
\( A \cdot 8 \% \)
B. 1\%
\( c .0 .8 \% \)
D. \( 16 \% \)
Subject: Physics
From a semi-circular disc of mass \( M \)
and radius \( R_{2} . \) A semi-circular disc of
radius \( R_{1} \) is removed as shown in the
figure. If the mass of original uncut disc
is \( M, \) find the momentum of inertia of
residual disc about an axis passing
through centre \( O \) and perpendicular to
the plane of the disc.
\( ^{\mathbf{A}} \cdot \frac{M}{2 R_{2}^{2}}\left(R_{2}^{4}-R_{1}^{4}\right) \)
В \( \cdot \frac{M}{R_{2}^{2}}\left(R_{2}^{4}-R_{1}^{4}\right) \)
\( ^{\mathbf{c}} \cdot \frac{M}{R_{2}^{2}}\left(\frac{R_{2}^{4}}{4}-R_{1}^{4}\right) \)
D \( \frac{M}{2 R_{2}^{2}}\left(R_{2}^{4}-\frac{R_{1}^{4}}{4}\right) \)
Subject: Chemistry
The electronic configuration with the highest ionization enthalpy is:
A \( \cdot[N e] 3 s^{2} 3 p^{1} \)
B \( \cdot[A r] 3 d^{10} 4 s^{2} 4 p^{3} \)
\( \mathbf{c} \cdot[N e] 3 s^{2} 3 p^{3} \)
D. \( [N e] 3 s^{2} 3 p^{2} \)
Subject: Physics
A shell is fired from point 0 on the level ground with velocity \( 50 m / s \) at angle
\( 53^{\circ} . A \) hill of uniform slope \( 37^{\circ} \) starts
from point \( A \) that is \( 100 m \) away from the point 0 as shown in the figure. Calculate the time of flight (in seconds)