AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
Two particles \( X \) and \( Y \) having equal charges, after being accelerated through the same potential difference, enter a region of uniform magnetic field
and describe circular paths of radii \( \boldsymbol{R}_{1} \)
and \( R_{2}, \) respectively. The ratio of
masses of \( X \) and \( Y \) is
\( ^{\mathbf{A}} \cdot\left(\frac{R_{1}}{R_{2}}\right)^{1 / 2} \)
B. \( \left(\frac{R_{2}}{R_{1}}\right) \)
\( ^{\mathbf{c}} \cdot\left(\frac{R_{1}}{R_{2}}\right)^{2} \)
D. \( \left(\frac{R_{1}}{R_{2}}\right) \)
Subject: Chemistry
Which of the following mixtures
constitute a buffer?

This question has multiple correct options
A. \( H C O O H+H C O O N a \)
в. \( N a_{2} C O_{3}+N a H C O_{3} \)
c. \( N a C l+H C l \)
D. \( N H_{4} C l+\left(N H_{4}\right)_{2} S O_{4} \)
Subject: Physics
A straight wire of length \( 50 \mathrm{cm} \) carrying
a current of \( 2.5 A \) is suspended in mid-
air by a uniform magnetic field of \( 0.5 T \)
(as shown in figure). The mass of the
wire is \( \left(\boldsymbol{g}=\mathbf{1 0 m} / \boldsymbol{s}^{2}\right) \)
\( \mathbf{A} \cdot 100 g m \)
В. \( 125 g m \)
\( \mathbf{c} \cdot 62.5 g m \)
D. \( 250 g m \)
Subject: Physics
A radioactive sample contains two nucleoids \( A \) and \( B \) having decay constant \( \lambda h r^{-1} \) and \( 2 \lambda h r^{-1} . \) Initially
\( 25 \% \) of the decay comes from \( A \). The number of hours it will take before \( 75 \% \)
of the total decay comes from \( A \) is \( n \)
\( (\operatorname{take} \lambda=\ln 3) . \) Find \( n \)
Subject: Chemistry
Assertion
A super-saturated solution of glucose in boiling water crystallizes as it cools.
Reason
The solubility increases as the temperature decreases.
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
Subject: Maths
In \( \Delta A B C, \angle A=30^{\circ}, \angle B=40^{\circ} \) and
\( \angle C=110^{\circ} \)
\( \ln \Delta P Q R, \angle P=30^{\circ}, \angle Q=40^{\circ} \) and
\( \angle R=110^{\circ} \)
Then Is \( \Delta A B C \cong \Delta P Q R \) by \( \mathrm{AAA} ? \)
A. True
B. False
Subject: Physics
The temperature increases is not notices in which of the following
processed on providing heat to system?
(I) Fusion at melting point
(II) Phase transition at transition temperature
(III) Boiling at boiling point
(IV) A reaction in chemical equilibrium
A . ।, ॥।, ॥।
в. ।, ॥॥
c. ॥ा, । ॥
D. ॥, IV
Subject: Maths
The radius of the given figure below is 21 mi. Find its volume. (use \( \pi=\frac{22}{7} \) ).
A \( .19,504 \mathrm{mi}^{3} \)
в. \( 19,404 \mathrm{mi} \)
C. \( 19,404 \mathrm{mi}^{3} \)
D. \( 29,504 \mathrm{mi}^{3} \)
Subject: Maths
\( \mathrm{IF} \cos \theta=\frac{3}{5}, \) then the value of
\( \frac{\sin \theta \tan \theta+1}{2 \tan ^{2} \theta} \) is
A \( \cdot \frac{88}{160} \)
в. \( \frac{91}{160} \)
c. \( \frac{92}{160} \)
D. \( \frac{93}{160} \)
Subject: Maths
In the above figure, \( \boldsymbol{O} \) is the centre of
the circle and \( \angle B A C=n^{\circ}, \angle O C B= \)
\( m^{\circ} \) then
A \( \cdot m^{\circ}+n^{\circ}=90^{\circ} \)
B . \( m^{\circ}+n^{\circ}=180^{\circ} \)
\( \mathbf{c} \cdot m^{\circ}+n^{\circ}=120 \)
D . \( m^{\circ}+n^{\circ}=150^{\circ} \)
Subject: Chemistry
Which of the following electronic configuration corresponds to an inert gas?
A \( \cdot 1 s^{1} 2 s^{2} 2 p^{5} \)
B \( \cdot 1 s^{2} 2 s^{2} 2 p^{6} \)
\( \mathbf{c} \cdot 1 s^{2} 2 s \)
D. \( 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{1} \)
Subject: Maths
\( \int \frac{1}{(x-2)\left(x^{2}+1\right)} d x= \)
A. \( \frac{1}{5}\left[\log |x-2|-\frac{1}{2} \log \left(x^{2}+1\right)+2 \tan ^{-1} x\right]+c \)
B. \( \frac{1}{5}\left[\log |x-2|-\frac{1}{2} \log \left(x^{2}+1\right)-2 \tan ^{-1} x\right]+c \)
C \( \cdot \frac{1}{5}\left[\log |x-2|-\frac{1}{2} \log \left(x^{2}+1\right)-2 \tan ^{-1} x\right]+c \)
D. \( -\frac{1}{2}\left[\log |x+2|+\frac{1}{2} \log \left|x^{2}-1\right|-2 \tan ^{-1} x\right]+c \)
Subject: Maths
In the adjoining figure, \( \angle A P O=42^{\circ} \)
and \( \angle C Q O=38^{\circ} . \) Find the value of \( \angle \)
POQ.
\( \mathbf{A} \cdot 68^{\circ} \)
B. \( 72^{\circ} \)
\( c \cdot 80^{\circ} \)
D. \( 126^{\circ} \)
Subject: Chemistry
The stiochiometry of the following
reaction is:
\( \boldsymbol{K}_{2} \boldsymbol{S}_{2} \boldsymbol{O}_{8}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{2} \boldsymbol{K} \boldsymbol{I}(\boldsymbol{a} \boldsymbol{q}) \rightarrow \)
\( \mathbf{2} K_{2} \boldsymbol{S} \boldsymbol{O}_{4}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{I}_{2}(\boldsymbol{a} \boldsymbol{q}) \)
A .2: 1
B. 1: 2
c. 2: 2
D. 1: 3
Subject: Chemistry
Consider the following statements and arrange in the order of true/false as
given in the codes:
\( S_{1}: \) Oxides of boron \( \left(B_{2} O_{3}\right) \) and silicon
\( \left(S i O_{2}\right) \) are acidic in nature.
\( S_{2}: \) Oxides of aluminium \( \left(A l_{2} O_{3}\right) \) and
gallium \( \left(G a_{2} O_{3}\right) \) are amphoteric in
nature
\( S_{3}: \) Oxides of indium \( \left(l n_{2} O_{3}\right) \) and
thallium \( \left(T l_{2} O_{3}\right) \) are basic in nature.
\( \boldsymbol{S}_{4}: \) Oxides of germanium \( \left(\boldsymbol{G} \boldsymbol{e} \boldsymbol{O}_{2}\right) \) and
\( \operatorname{tin}\left(S n O_{2}\right) \) are acidic in nature.
\( \mathbf{A} \cdot \) Т \( F T T \)
B. F FTT
c. тт न
D. TF TF
Subject: Maths
\( n \stackrel{L t}{\rightarrow} \infty \frac{1}{n}\left\{\sin ^{2} \frac{\pi}{2 n}+\sin ^{2} \frac{2 \pi}{2 n}+\ldots+\right. \)
\( \left.\sin ^{2} \frac{n \pi}{2 n}\right\}= \)
A.
в.
\( c \cdot 1 / 2 \)
D.
Subject: Maths
Assertion
A fair coin is being tossed four times. Consider the following events:
A is the event all four results are the
same.

B is the event exactly one Head occurs. \( \mathrm{C} \) is the event at least two Heads occur
\( \boldsymbol{P}(\boldsymbol{A})+\boldsymbol{P}(\boldsymbol{B})+\boldsymbol{P}(\boldsymbol{C})>1 \)
Reason
\( A, B \) and \( C \) are not Mutually Exclusive since events \( A \) and \( C \) have outcomes in
common.
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
Subject: Maths
In a \( \triangle A B C, \) the angles \( A \) and \( B \) are two
different values of \( \theta \) satisfying
\( \sqrt{\mathbf{3}} \cos \theta+\sin \theta=k,|k|<2 . \) The
triangle:
A. is an acute angled
B. is aright angled
c. is an obtuse angled
D. has one angle \( =\frac{\pi}{3} \)
Subject: Physics
A turn of radius \( 20 \mathrm{m} \) is banked for the vehicle of mass \( 200 \mathrm{kg} \) 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 15 \( \mathrm{m} / \mathrm{s} . \) Assume that friction is sufficient
to prevent slipping. \( \left(\boldsymbol{g}=\mathbf{1 0 m} / \boldsymbol{s}^{2}\right) \)
Subject: Chemistry
When equal volumes of the following solutions are mixed, precipitation of
\( A g C l\left(K_{s p}=1.8 \times 10^{-10}\right) \) will occur
only with:
A \( \cdot 10^{-4} M A g^{+}+10^{-4} M C l^{-} \)
B . \( 10^{-5} M A g^{+}+10^{-5} M C l^{-} \)
C. \( 10^{-6} M A g^{+}+10^{-6} M C l \)
D. \( 10^{-10} M A g^{+}+10^{-10} M C l \)
Subject: Maths
n figure, \( x: y: z=5: 4: 6 . \) If \( x \) OY is a
straight line then the values of \( x, y \) and \( z \)
are
This question has multiple correct options
A . \( x=60^{\circ} \)
В . \( y=48^{\circ} \)
\( \mathbf{c} . z=72^{\circ} \)
Subject: Physics
A small ball of mass \( m \) collides with a
rough wall having coefficient of friction
\( \mu \) at an angle \( \theta \) with the normal to the
wall. If after collision the ball moves
angle \( \alpha \) with the normal to the wall and
the coefficient of restitution is \( e \), then
find the reflected velocity \( \nu \) of the ball
just after collision.
Subject: Chemistry
A solution contaming \( N H_{4} C l \) and \( N H_{4} O H \) has \( [\stackrel{\ominus}{O} H]=10^{-6} m o l L^{-1} \)
which of the following hydroxides would be precipitated when this solution in added in equal volume to a solution containing \( 0.1 \mathrm{M} \) of metal ions?
A \( \cdot M g(O H)_{2},\left(K_{s p}=3 \times 10^{-11}\right) \)
B. \( F e(O H)_{2}\left(K_{s p}=8 \times 10^{-16}\right) \)
c. \( C d(O H)_{2}\left(K_{s p}=8 \times 10^{-6}\right) \)
D. \( \operatorname{AgOH}\left(K_{s p}=5 \times 10^{-3}\right) \)
Subject: Maths
If \( \vec{a}=i+j+k, \vec{b}=4 i+3 j+4 k, \vec{c}=i+\alpha i+ \)
\( \beta \mathrm{k} \) are linearly dependent and \( |c|=\sqrt{3} \)
then
B. \( \alpha=2, \beta=1 \)
c. \( \alpha=3, \beta=1 \)
D. \( \alpha=4, \beta=1 \)
Subject: Physics
Four charges \( \boldsymbol{q}_{1}=\mathbf{1} \mu \boldsymbol{C}, \boldsymbol{q}_{2}=\boldsymbol{2} \boldsymbol{\mu} \boldsymbol{C} \)
\( \boldsymbol{q}_{3}=\boldsymbol{3} \boldsymbol{\mu} \boldsymbol{C} \) and \( \boldsymbol{q}_{4}=\boldsymbol{4} \boldsymbol{\mu} \boldsymbol{C} \) are placed at
\( (0,0,0),(1 m, 0,0),(0,1 m, 0),(0,0,1 m) \)
respectively. Let \( \vec{F}_{i} \) be the net force
acting on ith charge of the given charges then \( \sum \overrightarrow{\boldsymbol{F}}_{\boldsymbol{i}}=\ldots \)
A. 0.018
B. \( 0.02 N \)
\( c .0 .036 N \)
D. zero
Subject: Chemistry
\( 0.73 g \) of organic compound gave \( 0.6 g \)
\( \boldsymbol{H}_{2} \boldsymbol{O} \)
The \( \% \) of \( \mathrm{H} \) in the organic compound is:
A \( \cdot 10.24 \)
B. 12.42
c. 9.13
D. 8.25
Subject: Physics
The position-time graph below
represents the motion of a
hummingbird as it moves horizontally
through the air.

Which of the following tables best lists
on the graph at the positions and times where the hummingbird's speed is the
greatest and the magnitude of its
acceleration is the greatest?
A. Greatest speed 1 , Greatest Acceleration 3
B. Greatest speed 3 , Greatest Acceleration 2
C. Greatest speed 2 , Greatest Acceleration 2
D. Greatest speed 3, Greatest Acceleration 3
E. Greatest speed 5 , Greatest Acceleration 4
Subject: Maths
A cylindrical pencil of diameter \( 1.2 \mathrm{cm} \) has one of its ends sharped into a
conical shape of height \( 1.4 \mathrm{cm} . \) The volume of the material removed is (in
\( \mathbf{A} \cdot 4 \cdot 224 \)
B. 1.056
c. 10.56
D. 42.24
Subject: Physics
Assertion
On a rainy day, it is difficult to drive a
car or bus at high speed.
Reason
The value of coefficient of friction is
lowered due to wetting of the surface.
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: Maths
If \( \boldsymbol{f}(\boldsymbol{x})=\int_{0}^{\sin \boldsymbol{x}} \cos ^{-1} \boldsymbol{t} \boldsymbol{d} \boldsymbol{t}+ \)
\( \int_{0}^{\cos x} \sin ^{-1} t d t, 0<x<\frac{\pi}{2} \)
then \( f\left(\frac{\pi}{4}\right) \) is?
A \( \cdot \frac{\pi}{\sqrt{2}} \)
B \( \cdot 1+\frac{\pi}{2 \sqrt{2}} \)
c.
D. none of these
Subject: Maths
For which region is \( f(x)=3 x^{2}-2 x+ \)
1 strictly increasing?
This question has multiple correct options
\( \mathbf{A} \cdot(2,5) \)
B. \( \left(\frac{1}{3}, \infty\right) \)
c. \( \left(-1, \frac{1}{3}\right] \)
D. \( \left(-\infty, \frac{1}{3}\right) \)
Subject: Maths
\( 10 \% \) of all aliens are capable of intelligent thought and have more than 3 arms, and \( 75 \% \) of aliens with 3 arms or less are capable of intelligent thought. If \( 40 \% \) of all aliens are capable of intelligent thought, what percent of aliens have more than 3 arms?
\( \mathbf{A} \cdot 60 \)
B. 70
c. 40
D. 45
Subject: Physics
The value of gravitational acceleration 'g' at a height 'h' above the earth's surface is \( \frac{g}{4} \) then \( (R= \) radius of earth)
\( \mathbf{A} \cdot h=R \)
в. \( h=\frac{R}{2} \)
\( c \cdot h=\frac{R}{3} \)
D. \( h=\frac{R}{4} \)
Subject: Maths
An illustration of the associative law for
multiplication is given by
A \( \cdot\left(\frac{1}{3} \times 5\right) \times 8=\frac{1}{3} \times(5 \times 8) \)
В \( \cdot \frac{1}{3} \times 5 \times 8=\frac{1}{3} \times 8 \times 5 \)
c. \( \frac{1}{3} \times 5+\frac{1}{3} \times 8=\frac{1}{3} \times 13 \)
D \( \cdot \frac{1}{3} \times 5 \times 8=\left(\frac{1}{3} \times 5\right) \times\left(\frac{1}{3} \times 8\right) \)
E. none of these
Subject: Chemistry
What is the free energy change \( \triangle G \)
when 1.0 mole of water \( \operatorname{at} 100^{\circ} C \) and 1
atm pressure is converted steam at
\( 100^{\circ} \mathrm{C} \) and 1 atm pressure:
A. +540 cal
B . -9800 cal
c. +9800 cal
D. o cal
Subject: Chemistry
\( \left.\left(C_{2} H_{5}\right)\right)_{2} C O \frac{H_{3} O^{+}}{C H_{3} M g B r(e x c e s s)} A . A \)
(alcohol) can also be obtained by:
A \( \cdot C H_{3} C H_{2} C H O \frac{H_{3} O^{+}}{C H_{3} M g B r(2 m o l)} \)
в. \( _{\mathrm{II}}^{o} \)
\( C H_{3} C O C_{2} H_{5} \frac{C H_{3} M g B r(2 m o l)}{H_{3} O^{+}} \)
c. \( \quad_{\mathrm{N}}^{o} \mathrm{C}_{\mathrm{H}_{3} \mathrm{CCH}_{3}} \frac{\mathrm{CH}_{3} \mathrm{MgBr}(1 \mathrm{mol})}{\mathrm{H}_{3} \mathrm{O}^{+}} \)
D. both \( B \) and \( C \)
Subject: Physics
A \( 90 \mathrm{gm} \) ball moving at \( 100 \mathrm{cm} / \mathrm{s} \) collide head on with a stationary 10 gm ball. The coefficient of restitution is \( 0.5 . \) Their
respective velocities after collision are
A \( \cdot 135 \mathrm{cm} / \mathrm{s}, 85 \mathrm{cm} / \mathrm{s} \)
B. \( 85 \mathrm{cm} / \mathrm{s}, 135 \mathrm{cm} / \mathrm{s} \)
\( c .-85 \mathrm{cm} / \mathrm{s}, 135 \mathrm{cm} / \mathrm{s} \)
D. \( 85 \mathrm{cm} / \mathrm{s},-135 \mathrm{cm} / \mathrm{s} \)
Subject: Biology
Q Type your question-
nuticy. uuuy ur uiagial carefully and answer the questions that
follow:
(i) Label the parts numbered 1 to 4
(iii) Why does part' '2' have striped
appearance?
(iiii) What is the fluid that passes down
part ' 4 '? Name the main nitrogenous
waste present in it.
(iv) Mention the structural and
functional units of kidneys.
\( (v) \) Name the two major steps in the formation of the fluid mentioned in \( (\boldsymbol{i} \boldsymbol{i} \boldsymbol{i}) \)
Subject: Physics
A cat running with constant acceleration in one direction is at rest
initially and has velocity \( v(t)= \)
\( 1.00 m / s \) at 2.00 seconds later.
At \( t=4.00 \) seconds, how far away from
the starting point will the cat be?
\( \mathbf{A} \cdot 0.00 m \)
в. \( 1.00 m \)
c. \( 2.00 m \)
D. \( 4.00 m \)
E. \( 8.00 m \)
Subject: Maths
\( f(x)=\cos ^{-1}\left(\frac{\sqrt{2 x^{2}+1}}{x^{2}+1}\right), \) then
range of \( \boldsymbol{f}(\boldsymbol{x}) \) is
\( \mathbf{A} \cdot[0, \pi] \)
B \cdot \( \left(0, \frac{\pi}{4}\right. \)
\( c \cdot\left(0, \frac{\pi}{3}\right. \)
D \( \cdot\left[0, \frac{\pi}{2}\right) \)
Subject: Chemistry
The electronic configuration of few elements is given below. Mark the statement which is not correct about
these elements.
(i) \( 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{1} \)
(ii) \( 1 s^{2} 2 s^{2} 2 p^{5} \)
(iii) \( 1 s^{2} 2 s^{2} 2 p^{6} \)
\( (\text { iv }) 1 s^{2} 2 s^{2} 2 p^{3} \)
A . (i) is an alkali metal.
B. (iii) is a noble metal.
c. (i) and (ii) form ionic compounds.
D. (iv) has high ionisation enthalpy
Subject: Physics
In the circuit shown, the thermal power
dissipated in \( R_{1} \) is \( P . \) The thermal
power dissipated in \( \boldsymbol{R}_{2} \) is
A. \( P \)
в. \( \frac{4 P}{9} \)
c. \( \frac{2 P}{3} \)
D. \( \frac{P}{9} \)
Subject: Maths
Suppose there are three urns
containing 2 white and 3 black balls: 3 white and 2 black balls, and 4 white and
one black ball respectively. There is equal probability of each urn being chosen. One ball is drawn from an urn
chosen at random. The probability that a white ball is drawn is \( \frac{k}{15} . \) Find the
value of \( k \)
Subject: Maths
The coordinates of any point, which lies in \( \boldsymbol{y} \boldsymbol{z} \) plane, are
This question has multiple correct options
A \( .(x, y, y) \)
в. \( (0, y, y) \)
c. \( (0, y, x) \)
D. \( (x, y, z) \)
Subject: Physics
A particle with linear momentum of magnitude \( P \) is subjected to a force \( F= \) \( \mathrm{Kt}(\mathrm{k}>0) \) which is directed along the directed of initial momentum. The time
which its liner momentum changes to
\( 3 P \) is :
A \( \cdot \sqrt{\frac{2 P}{K}} \)
в. \( 2 \sqrt{\frac{P}{K}} \)
c. \( \sqrt{\frac{2 K}{P}} \)
D. \( 2 \sqrt{\frac{K}{P}} \)
Subject: Maths
Find the values of \( x, \) if \( \left|\begin{array}{cc}\mathbf{2 x} & \mathbf{5} \\ \mathbf{8} & \boldsymbol{x}\end{array}\right|=\left|\begin{array}{ll}\mathbf{6} & \mathbf{5} \\ \mathbf{8} & \mathbf{3}\end{array}\right| \)
Subject: Chemistry
Number of lone pairs of electrons on Xe
atoms \( \mathrm{XeF}_{2}, \mathrm{XeF}_{4} \) and \( \mathrm{XeF}_{6} \)
molecules are respectively.
A. 3,2 and 1
B. 4,3 and 2
c. 2,3 and 1
D. 3,2 and 0
Subject: Chemistry
One mole of acidified \( \boldsymbol{K}_{2} \boldsymbol{C r}_{2} \boldsymbol{O}_{7} \) on
reaction with excess \( \boldsymbol{K} \boldsymbol{I} \) will
liberate \( _{\text {一一一一一一一一一 }} \) mole \( (s) \) of \( I_{2} \)
\( A \cdot 3 \)
B. 1
c. 7
D. 2
Subject: Chemistry
The pair of molecules in which one of
the molecule has linear shape while
another one has square based pyramid
shape is:
\( \mathbf{A} \cdot\left[B r_{3}^{-}, P F_{5}\right] \)
в. \( C O_{2}, N F_{3} \)
\( \mathrm{c} \cdot \mathrm{SO}_{2}, \mathrm{CIF}_{5} \)
D \( \cdot\left[l_{3}^{-}, B r_{5}\right] \)
Subject: Chemistry
\( \boldsymbol{B C l}_{3}+\boldsymbol{L i A l H _ { 4 }} \rightarrow \boldsymbol{A}+\boldsymbol{L i C l}+\boldsymbol{A l C l}_{3} \)
\( \boldsymbol{A}+\boldsymbol{H}_{2} \boldsymbol{O} \rightarrow \boldsymbol{B}+\boldsymbol{H}_{2} \)
\( \boldsymbol{B} \rightarrow \boldsymbol{C} \)
in this reaction sequence \( A, B, \) and \( C \) compounds respectively are?
в. \( B_{2} H_{6}, H_{3} B O_{3}, B_{2} O_{3} \)
c. \( B_{2} H_{6}, H_{3} B O_{3}, B \)
D. \( H B F_{4}, H_{3} B O_{3}, B_{2} O_{3} \)
Subject: Physics
If the radius of gold (Au) and platinum
\( (P t) \) atoms in \( p m \) is \( 100 \sqrt{2} \) and \( 90 \sqrt{2} \)
respectively, find \( n_{A u} n_{P t} \)
A . 0.52
B. 0.68
c. 0.73
D. 0.74
Subject: Chemistry
When \( 100 \mathrm{ml} \) of \( O_{2}-O_{3} \) mixture was
passed through turpentine oil, there was reduction of volume by \( 20 \mathrm{ml} \). If 100
\( \mathrm{ml} \) of such a mixture is heated, what will be the increase in the volume (ml)? (Write the answer in the form of
volume/2)
Subject: Physics
In a metre bridge the null point is found
at a distance of \( 40 \mathrm{cm} \) from \( \mathrm{A} \). If \( \mathrm{a} \)
resistance of \( 12 \Omega \) is connected in
parallel with \( ^{\prime} S^{\prime}, \) the null point occurs
at \( 50 \mathrm{cm} \) from \( \mathrm{A} \). determine value of \( ^{\prime} \boldsymbol{R}^{\prime} \)
and ' \( \boldsymbol{S}^{\prime} \)
Subject: Chemistry
\( 1.61 \mathrm{gm} \) of \( \mathrm{Na}_{2} \mathrm{SO}_{4} .10 \mathrm{H}_{2} \mathrm{O} \) contains
same number of oxygen atoms as
present in \( x \) gm of \( H_{2} S O_{4} \). The value of
\( x \) is :
A . 1.28
в. 1.38
c. 1.58
D. 1.78
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{ll}\mathbf{0} & \mathbf{1} \\ \mathbf{1} & \mathbf{0}\end{array}\right], \) then \( \boldsymbol{A}^{2} \) is equal to
\( A \cdot\left[\begin{array}{ll}0 & 1 \\ 1 & 0\end{array}\right] \)
B. \( \left[\begin{array}{ll}1 & 0 \\ 1 & 0\end{array}\right] \)
c. \( \left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right] \)
D. \( \left[\begin{array}{ll}0 & 1 \\ 0 & 1\end{array}\right] \)
Subject: Maths
\( \angle 1 \) and \( \angle 2 \) are adjacent angles.
It is given that \( \angle A O B=140^{\circ} . \) What is
value of \( \angle \mathbf{1}+\angle \mathbf{2} \)
A \( \cdot 210^{\circ} \)
B \( .220^{\circ} \)
\( c \cdot 230^{\circ} \)
D. \( 240^{\circ} \)
Subject: Chemistry
\( \boldsymbol{A}: \mathbf{2} \boldsymbol{C}_{\boldsymbol{6}} \boldsymbol{H}_{\boldsymbol{5}} \boldsymbol{C H} \boldsymbol{O}+\boldsymbol{K} \boldsymbol{O H} \longrightarrow \)
\( \boldsymbol{C}_{6} \boldsymbol{H}_{5} \boldsymbol{C O O K}+\boldsymbol{C}_{6} \boldsymbol{H}_{5} \boldsymbol{C H}_{2} \boldsymbol{O H} \)
\( \boldsymbol{B}: \mathbf{3} \boldsymbol{C l}_{2}+\boldsymbol{6} \boldsymbol{K O H} \longrightarrow \mathbf{5} \boldsymbol{K} \boldsymbol{C l}+ \)
\( \boldsymbol{K} \boldsymbol{C l O}_{3}+\boldsymbol{3} \boldsymbol{H}_{2} \boldsymbol{O} \)
Select the correct statement.
A. Both are redox reactions
B. Both are disproportionation reaction
c. \( A \) is a disproportionation reaction and \( B \) is a redox reaction
D. \( A \) is a redox reaction and \( B \) is a disproportionation reaction.
Subject: Physics
A sphere of mass \( 50 k g \) is attached by a
second sphere of mass \( 90 \mathrm{kg} \) with a
force equal to a weight of \( 0.5 m g \) and
their centres are \( 20 \mathrm{cm} \) apart.
The gravitational constant is.
A \( .4 .2 \times 10^{-11} \mathrm{Nm}^{2} \mathrm{kg}^{2} \)
B. \( 6.23 \times 10^{-15} \mathrm{Nm}^{2} \mathrm{kg}^{2} \)
c. \( 3.3 \times 10^{-11} N m^{2} k g^{2} \)
D. \( 4.4 \times 10^{-11} \mathrm{Nm}^{2} \mathrm{kg}^{2} \)
Subject: Physics
Assertion
In YDSE, if a film is introduced in front
of the upper slit, then the fringe pattern shifts in the downward direction
Reason
In YDSE if the slit widths are unequal,
the minima will be completely dark
A. Both Assertion and Reason are incorrect
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 correct
Subject: Maths
The term independent of \( x \) in the
binomial expansion of \( \left(1-\frac{1}{x}+3 x^{5}\right)\left(2 x^{2}-\frac{1}{x}\right)^{8} \)
\( \mathbf{A} \cdot-496 \)
B . -400
c. 496
D. 400
Subject: Chemistry
Uncertainty in position is twice the uncertainty in momentum, uncertainty in velocity is
A. \( \sqrt{\frac{h}{\pi}} \)
B. \( \frac{1}{2 m} \sqrt{\frac{b}{\pi}} \)
\( c \cdot \frac{1}{2 m} \sqrt{h} \)
D. \( \frac{1}{2 \sqrt{2 m}} \sqrt{\frac{h}{\pi}} \)
Subject: Maths
\( \boldsymbol{A}=\left[\begin{array}{rrr}\mathbf{1} & \mathbf{- 2} & \mathbf{3} \\ \mathbf{7} & -\mathbf{8} & \mathbf{9} \\ \mathbf{4} & \mathbf{- 5} & \mathbf{6}\end{array}\right] \) the new matrix
formed by adding \( 2^{n d} \) row to \( 1^{s t} \) row will be
A. \( \left[\begin{array}{ccc}8 & -10 & 12 \\ 7 & -8 & 9 \\ 4 & -5 & 6\end{array}\right] \)
В. \( \left[\begin{array}{lll}6 & 6 & 6 \\ 7 & 8 & 9 \\ 4 & 5 & 6\end{array}\right] \)
c. \( \left[\begin{array}{ccc}1 & 2 & 3 \\ 7 & 8 & 9 \\ 11 & -13 & 14\end{array}\right] \)
D. \( \left[\begin{array}{ccc}1 & -2 & 3 \\ 7 & 8 & -29 \\ 4 & -2 & 6\end{array}\right] \)
Subject: Physics
The self potential energy of hydrogen chloride whose dipole moment is \( 3.44 \times \) \( 10^{-20} \mathrm{Cm} \) and separation between
hydrogen and chlorine atoms is \( 1.01 \times \)
\( 10^{-10} \mathrm{m} \) is:
В. \( 3.2 \times 10^{5} J \)
c. \( 4.5 \times 10^{7} J \)
D. \( 1.65 \times 10^{6} J \)
Subject: Physics
Assertion: The resistance offered by an inductor in a d.c circuit is always
constant.
Reason : The resistance of inductor in
steady state is non-zero.
A. If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
B. If both Assertion and Reason are true but the Reason is not the correct explanation of the Assertion.
c. If Assertion is true statement but Reason is false
D. If both Assertion and Reason are false statements
Subject: Chemistry
Which of the following are correct for the given diagram?
This question has multiple correct options
A. \( \Delta H_{3}=\Delta H_{1}+\Delta H_{2} \)
В. \( \Delta H_{1}=0 \)
C. \( \Delta H_{2}=\left(C_{\text {calorimeter}}+C_{\text {produt} t}\right) \times\left(T_{1}-T_{2}\right) \)
D. \( \Delta H_{2}=\left(C_{\text {clorimeter}}+C_{\text {produc} t}\right) \times\left(T_{2}-T_{1}\right) \)