AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
Which of the following observations are true for Hans Oersteds experiment?
a. When current passes through the
wire the compass needle comes to restt
in a direction along the Earths magnetic field.
b. When placed just above the wire, North Pole of the compass needle deflects towards the east when current
is passes from A to B.
c. When placed just below the wire, North Pole of the compass needle deflects towards the east when current is passes from B to A i.e. on reversing the direction of current
\( A \cdot \) a and \( c \)
B. a and b
\( c . \) b and \( c \)
D. All of the above
Subject: Chemistry
Which of the following statements is/are correct?
I. \( B_{2} O_{3} \) is an acidic oxide
Il. \( G a_{2} O_{3} \) and \( A l_{2} O_{3} \) are amphoteric
oxides.
III. \( l n_{2} O_{3} \) and \( t l_{2} O_{3} \) are basic oxides.
A . ।, ॥।, ॥।
B. ।, ॥
c. ॥, ॥ा
D. I, III
Subject: Chemistry
Assertion
Nitric acid cannot be concentrated
beyond \( 68 \% \) by boiling.
Reason
Nitric acid usually consist of maximum boiling azetrope of nitric acid and water
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: Biology
Read the following statements regarding euglenoids and select the incorrect ones.
(i) These are mostly freshwater organisms found in stagnant water.
(ii) Their body is covered by a protein rich layer called pellicle which makes their body flexible.
(iii) They are photosynthetic in the presence of sunlight but become heterotrophs in the absence of sunlight.
(iv) They usually possess two flagella, one long and one short.
(v) Euglenoids are multicellular ciliate protists.
A \( \cdot \) (i) and (v)
B. (iv) and (v)
c. (iii) only
D. (v) only
Subject: Maths
toppr
Q Type your question
\[
0-20
\]
\( 20-30 \)
\( 30-40 \)
40
\[
20
\]
50
\[
20
\]
\( 60-70 \)
\( 70- \) Above
Total
A teacher wanted to analyze the performance of two sections of students
in a mathematics test of 100 marks.
Looking at their performance, she found
that a few students got, under 20 marks
and a few got 70 marks or above. So she
decided to group them into intervals of
varying sizes as follows: \( 0-20,20- \)
\[
30 \ldots .60-70,70-100 \text { Then she }
\]
formed the following table.
(i) Find the probability that a student obtained less than \( 20 \% \) in the
mathematics test.
(ii) Find the probability that a student
obtained marks 60 or above.
Subject: Physics
Currents \( I_{1} \) and \( I_{2} \) flow in the wires
shown in figure. The field is zero at
distance \( x \) to the right of \( O . \) Then
\( x=\left(\frac{I_{1}}{I_{2}}\right) a \)
3. \( x=\left(\frac{I_{2}}{I_{1}}\right) a \)
\( x_{x}=\left(\frac{I_{1}-I_{2}}{I_{1}+I_{2}}\right) a \)
\( x=\left(\frac{I_{1}+I_{2}}{I_{1}-I_{2}}\right) a \)
Subject: Maths
If \( S_{r} \) denotes the sum of \( r \) terms of an
\( A P \) and \( \frac{S_{a}}{a^{2}}=\frac{S_{b}}{b^{2}}=c \) then \( S_{c} \) is
A \( . c^{3} \)
в. \( c / a b \)
\( c \cdot a b c \)
D. \( a+b+c \)
Subject: Chemistry
For a chemical reaction, \( \boldsymbol{m} \boldsymbol{A} \longrightarrow \boldsymbol{x} \boldsymbol{B} \)
the rate law is \( r=k[A]^{2} . \) If the
concentration of \( A \) is doubled, the
reaction rate will be :
A. doubled
B. quadrupled
c. increases by 8 times
D. unchanged
Subject: Chemistry
A sample consisting of 1mol of a
monoatomic perfect gas \( \left(C_{v}=\frac{3}{2} R\right) \) is
taken through the cycle as shown:
Temperature at points (1),(2) and (3)
respectively is :
A \( .273 K, 546 K, 273 K \)
B . \( 546 K, 273 K, 273 K \)
C . \( 273 K, 273 K, 273 K \)
D. \( 546 K, 546 K, 273 K \)
Subject: Maths
For \( \boldsymbol{a}<\mathbf{0}, \) arg \( (\boldsymbol{i} \boldsymbol{a})= \)
A \( \cdot \frac{\pi}{2} \)
B. \( -\frac{\pi}{2} \)
\( c . \pi \)
D. - \( \pi \)
Subject: Chemistry
Structure of a disaccharide formed by
glucose and fructose is given above
Identify anomeric carbon atoms in monosaccharides units
A. 'a' carbon of glucose and 'a' carbon of fructose
B. 'a' carbon of glucose and 'e' carbon of fructose
c. 'a' carbon of glucose and 'b' carbon of fructose
D. 'f' carbon of glucose and 'f' carbon of fructose
Subject: Physics
At time \( t=0, N_{1} \) nuclei of decay
constant \( \lambda_{1} \) and \( N_{2} \) nuclei of decay
constant \( \lambda_{2} \) are mixed. The decay rate of
mixture is
\( \mathbf{A} \cdot N_{1} N_{2} e^{-\left(\lambda_{1}+\lambda_{2}\right) t} \)
B. \( -\left(\frac{N_{1}}{N_{2}}\right) e^{-\left(\lambda_{1}+\lambda_{2}\right) t} \)
C. \( -\left(N_{1} \lambda_{1} e^{-\lambda_{1} t}+N_{1} \lambda_{2} e^{-\lambda_{2} t}\right) \)
D. \( -N_{1} \lambda_{1} N_{2} \lambda_{2} e^{\left(-\lambda_{1}+\lambda_{2}\right) t} \)
Subject: Physics
\( \operatorname{Let} \vec{A}=(\hat{i}+\hat{j}) \) and, \( \vec{B}=(2 \hat{i}-\hat{j}) . \) The
magnitude of a coplanar vector \( \overrightarrow{\boldsymbol{C}} \) such that \( \vec{A} \cdot \vec{C}=\vec{B} \cdot \vec{C}=\vec{A} \cdot \vec{B}, \) is given by:
A \( \cdot \sqrt{\frac{10}{9}} \)
B. \( \sqrt{\frac{5}{9}} \)
c. \( \sqrt{\frac{-09}{2}^{9}} \)
D. \( \sqrt{\frac{9}{12}} \)
Subject: Maths
Let \( A B C \), be a triangle such that the coordinates of the vertex \( \boldsymbol{A} \) are \( (-\mathbf{3}, \mathbf{1}) \) Equation of the median through \( B \) is
\( 2 x+y-3=0 \) and equation of the
angular bisector of \( \boldsymbol{C} \) is \( \mathbf{7} \boldsymbol{x}-\mathbf{4} \boldsymbol{y}-\mathbf{1}= \)
0.Find the slope of line \( \boldsymbol{B C} \).
Subject: Maths
The 9 horizontal and 9 vertical lines on
an \( 8 \times 8 \) chess-board form \( r \) rectangles
and \( s \) squares. Then, the ratio \( s: r \) in its
lowest terms is
A \( \cdot \frac{1}{6} \)
в. \( \frac{17}{108} \)
c. \( \frac{4}{27} \)
D. None of the above
Subject: Chemistry
Dissociation of an indicator can be
considered as, \( \boldsymbol{H} \boldsymbol{I} \boldsymbol{n} \rightleftharpoons \boldsymbol{H}^{+}+\boldsymbol{I} \boldsymbol{n}^{-} \)
colours of \( \boldsymbol{H} \boldsymbol{I} \boldsymbol{N} \) and \( \boldsymbol{I} \boldsymbol{n}^{-} \) are different.
Which statement is correct?
This question has multiple correct options
A. Solution assumes colours of \( H \) In when \( p H=p K-1 \)
B. Solution assumes colours of \( I n^{-} \) when \( p H=p K+1 \)
C. Solution assumes colours of \( H I n^{-} \) when \( p H=p K+1 \)
D. Solution assumes colours of \( I n^{-} \) when \( p H=p K-1 \)
Subject: Maths
\( \int \frac{\sqrt{x^{2}+1}\left[\log \left(x^{2}+1\right)-2 \log x\right]}{x^{4}} \) is
equal to
A.
\[
\frac{1}{3}\left(1+\frac{1}{x^{2}}\right)^{\frac{3}{2}}\left[\log \left(1+\frac{1}{x^{2}}\right)+\frac{2}{3}\right]+C
\]
в. \( \quad-\frac{1}{3}\left(1+\frac{1}{x^{2}}\right)^{\frac{3}{2}}\left[\log \left(1+\frac{1}{x^{2}}\right)-\frac{2}{3}\right]+C \)
c. \( \quad \frac{1}{3}\left(1+\frac{1}{x^{2}}\right)^{\frac{1}{2}}\left[\log \left(1+\frac{1}{x^{2}}\right)+\frac{2}{3}\right]+C \)
D. None of these
Subject: Chemistry
The method to prepare PMA polymer
from methyl acrylate can be given as:
\( A \)
\[
\mathrm{R}-\mathrm{C} \equiv \mathrm{CH} \quad \stackrel{\mathrm{CO}+\mathrm{ROH}}{\longrightarrow}
\]
в.
\[
\mathrm{HC} \equiv \mathrm{CH} \frac{\mathrm{CO}+\mathrm{CH}_{3} \mathrm{OH}}{\mathrm{Ni}(\mathrm{CO})_{4}}
\]
c.
\[
\mathrm{HC} \equiv \mathrm{CH}-\frac{\mathrm{CO}+\mathrm{H}_{2} \mathrm{O}}{\mathrm{Ni}(\mathrm{CO})_{4}}
\]
D. none of these
Subject: Maths
Let \( R \) be a relation from \( A=\{1,2,3,4\} \) to \( \mathrm{B}=\{1,3,5\} \) such that
\( R=[(a, b): a<b, \text { where } a \varepsilon A \text { and } b \varepsilon B] \)
What is RoR \( ^{-1} \) equal to?
A \( \cdot(1,3),(1,5),(2,3),(2,5),(3,5),(4,5) \)
B. (3,1),(5,1),(3,2),(5,2),(5,3),(5,4)
c. (3,3),(3,5),(5,3),(5,5)
D. (3,3),(3,4),(4,5)
Subject: Maths
The vector \( \frac{1}{3}(2 \hat{i}-2 \hat{j}+\hat{k}) \) is
This question has multiple correct options
A. unit vector
B. Makes an angle \( \pi / 3 \) with vector \( 2 \hat{i}-4 \hat{j}+3 \hat{k} \)
C. parallel to the vector \( -\hat{i}+\hat{j}-(1 / 2) \hat{k} \)
D. perpendicular to the vector \( 3 \hat{i}+2 \hat{j}-2 \hat{k} \)
Subject: Physics
Sound waves of wavelength \( \lambda \) travelling
with velocity \( v \) in a medium enter into
another medium in which their velocity
is \( 4 v . \) The wavelength in \( 2^{n d} \) medium is :
A \( .4 \lambda \)
B. \( \lambda \)
\( c \cdot \lambda / 4 \)
D. \( 16 \lambda \)
Subject: Maths
Let \( \vec{a}, \vec{b} \) and \( \vec{c} \) be non-coplanar unit vectors equally inclined to one another at an acute angle \( \theta \) then \( [\vec{a} \vec{b} \vec{c}] \) in terms of \( \theta \) is equal to :
A \( \cdot(1+\cos \theta) \sqrt{\cos 2 \theta} \)
B . \( (1+\cos \theta) \sqrt{1-2 \cos 2 \theta} \)
C \( \cdot(1-\cos \theta) \sqrt{1+2 \cos \theta} \)
D \cdot \( (1-\sin \theta) \sqrt{1+2 \cos 2 \theta} \)
Subject: Physics
In displacement-time graph of a
particle as shown in figure, velocity of particle changes its direction at point \( \mathbf{A} \)
Reason
Sign of slope of \( s \) -t graph decides the
direction of velocity.
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 horizontal stretched string fixed at two ends, is vibrating in its fifth harmonic according to the equation
\( \boldsymbol{y}(\boldsymbol{x}, \boldsymbol{t})= \)
\( 0.01 m \sin \left[\left(62.8 m^{-1}\right) x\right] \cos \left[\left(628 s^{-1}\right) t\right] \)
Assuming \( \pi=3.14, \) the correct statement(s) is/are

This question has multiple correct options
A. The number of nodes is 5
B. the length of the string is 0.25 m
c. The maximum displacement of the midpoint of the string, fom its equilibrium position is \( 0.01 m \).
D. The fundamental frequency is \( 100 H z \)
Subject: Maths
ABCD is parallelogram. If Land M are the middle points of \( \mathrm{BC} \) and \( \mathrm{CD} \), then \( \boldsymbol{A L}+\overline{\boldsymbol{A} \boldsymbol{M}} \) equals?
A \( \cdot \frac{1}{2} \overline{A C} \)
в. \( \frac{3}{2} \overline{A C} \)
c. \( \overline{A C} \)
D. \( \frac{2}{3} \overline{A C} \)
Subject: Physics
The uniform disc shown in the figure
has a moment of inertia of \( 0.6 k g m^{2} \)
around the axis that passes through 0
and is perpendicular to the plane of the
page. If a segment is cut out from
the disc as shown, the moment of inertia of the remaining disc is \( \frac{1}{x} k g m^{2} \)
Find \( x \)
Subject: Physics
The source is at some distance from an
obstacle. Distance between obstacle
and the point of observation is \( b \) and
wavelength of light is \( \lambda \). The distance of
\( \boldsymbol{n}^{t h} \) Fresnel Zone from the point
of observation is :
A \( \cdot \frac{b n \lambda}{2} \)
в. \( _{b-} \frac{n \lambda}{2} \)
c. \( _{b+\frac{n \lambda}{2}} \)
D. \( b-n \lambda \)
Subject: Physics
Assertion
If linear momentum of a particle is constant, then its angular momentum about any axis will also remain
constant.
Reason
Linear momentum remain constant, if \( \vec{F}_{n e t}=0 \) and angular momentum remains constant if \( \overrightarrow{\boldsymbol{T}}_{\boldsymbol{n e t}}=\mathbf{0} \)
A. Both Assertion and Reason are true and the Reason is correct explanation of the Assertion
B. Both Assertion and Reason are true, Reason is not the correct explanation of Assertion
C. Assertion is true, but the Reason is false
D. Assertion is false but the Reason is true
Subject: Maths
If \( \boldsymbol{A}=\frac{1}{1} \cot ^{-1}\left(\frac{1}{1}\right)+\frac{1}{2} \cot ^{-1}\left(\frac{1}{2}\right)+ \)
\( \frac{1}{3} \cot ^{-1}\left(\frac{1}{3}\right) \) and \( B=1 \cot ^{-1} 1+ \)
\( 2 \cot ^{-1} 2+3 \cot ^{-1} 3 \operatorname{then}|B-A| \) is
equal to \( \frac{a \pi}{b}+\frac{c}{d} \) cot \( ^{-1} 3 \) where
\( a, b, c, d \in N \) and are in their lowest
form then \( a+b+c+d \) equal to
Subject: Physics
toppr
Q Type your question
heat with the liquid. The bubble
contains n moles of gas. The
temperature of the gas when the
bubbles is at the bottom is \( T_{0}, \) the
height of the liquid is \( \mathrm{H} \) and the
atmospheric pressure is \( P_{0} \) (neglect
surface tension). When the gas bubble
is at height \( y \) from the bottom, its
temperature is:
A \( \cdot \quad T_{0}\left(\frac{P_{0}+\rho_{1} g H}{P_{0}+\rho_{1} g y}\right)^{\frac{2}{5}} \)
\( ^{\mathbf{B}} T_{0}\left(\frac{P_{0}+\rho_{1} g(H-y)}{P_{0}+\rho_{1} g H}\right)^{\frac{2}{3}} \)
c.
\[
T_{0}\left(\frac{P_{0}+\rho_{1} g H}{P_{0}+\rho_{1} g y}\right) \overline{5}
\]
\( P_{0}\left(\frac{P_{0}+\rho_{1} g(H-y)}{P_{0}+\rho_{1} g y}\right)^{\frac{3}{5}} \)
Subject: Maths
The line \( L_{1} \) given by \( \frac{x}{5}+\frac{y}{b}=1 \) passes
through the point \( M(13,32) . \) The line
\( L_{2} \) is parallel to \( L_{1} \) and has the equation \( \frac{x}{c}+\frac{y}{3}=1 . \) Then the distance
between \( L_{1} \) and \( L_{2} \) is
A. \( \sqrt{17} \)
в. \( \frac{17}{\sqrt{15}} \)
c. \( \frac{23}{\sqrt{17}} \)
D. \( \frac{23}{\sqrt{15}} \)
Subject: Chemistry
Which of the following statements are true about acid rain?
(i) Acid rain is harmful to some plants and animals.
(ii) Acid rain mainly comprises the sulphuric acid and nitric acid
(iii) Acid rain helps farmers to produce
more crops.
(iv) Acid rain corrodes buildings and
statues.
A \( \cdot \) (i) and (ii)
B. (i) and (iii)
\( c \cdot \) (i), (iii) and (iv)
D. (i), (ii) and (iv)
Subject: Physics
A particle of mass \( 10 g \) is executing simple harmonic motion with an
amplitude of \( 0.5 m \) and periodic time of \( \left(\frac{\pi}{5}\right) s . \) The maximum value of the force acting on the particle is:
A . \( 25 ~ N \)
B. \( 5 N \)
c. \( 2.5 N \)
D. \( 0.5 N \)
Subject: Chemistry
Ways of expressing the concentration of
a solution are:
\( \frac{\text {Mass of solute}}{\text {Mass of solution}} \times 100 \)
II) \( \frac{\text { Mass of solute }}{\text {Volume of solution}} \times 100 \)
\( A \)
B. I
\( c \cdot 1,1 \)
D. none of the above
Subject: Physics
A boy of mass \( \mathrm{m} \) is standing on a block of mass M kept on a rough surface. When the boy walks from left to right on
the block, the centre of mass(boy \( + \)
block) of the system.
A. Remains stationary
B. Shifts towards left
c. shifts towards right
D. Shifts toward right if \( \mathrm{M}>\mathrm{m} \) and toward left if \( \mathrm{M}<\mathrm{m} \).
Subject: Maths
Resolve into partial fractions
\( \boldsymbol{x}^{\mathbf{3}} \)
\( (x-1)^{4}\left(x^{2}-x+1\right) \)
A \( \cdot \frac{1}{(x-1)^{4}}+\frac{2}{(x-1)^{2}}+\frac{x}{x^{2}-x+1} \)
B. \( \frac{1}{(x-1)^{4}}-\frac{1}{(x-1)^{2}}-\frac{1}{(x-1)}+\frac{x}{x^{2}-x+1} \)
C \( \frac{1}{(x-1)^{4}}+\frac{2}{(x-1)^{2}}-\frac{1}{(x-1)}+\frac{x}{x^{2}-x+1} \)
D \( \frac{-1}{(x-1)^{4}}+\frac{2}{(x-1)^{2}}-\frac{1}{(x-1)}+\frac{x}{x^{2}+x+1} \)
Subject: Chemistry
Outer electronic configurations of
\( \boldsymbol{K}, \boldsymbol{C u}, \) and \( \boldsymbol{C r} \) are respectively :
A \( \cdot 4 s^{1}, 3 d^{10}, 3 d^{5} \)
B . \( 4 s^{2}, 3 d^{10}, 3 d^{4} \)
c. \( 4 s^{1}, 3 d^{9}, 3 d^{4} \)
D・ \( 4 s^{2}, 3 d^{9}, 3 d^{4} \)
Subject: Physics
Water drops fall at regular intervals from a tap \( 5 \mathrm{m} \) above the ground. How far above the ground is the second drop at that instant when the 3 rd drop left
the tap and \( 1_{s t} \) drop reaches the
ground. \( \left(g=10 m / s^{2}\right) \)
A . \( 1.25 \mathrm{m} \)
B. 2.50 \( \mathrm{m} \)
c. \( 3.75 \mathrm{m} \)
D. 4.00 \( m \)
Subject: Physics
Two short bar magnets with magnetic moments \( 8 A m^{2} \) and \( 27 A m^{2} \) are placed
\( 35 \mathrm{cm} \) apart along their common axial
line with their like poles facing each
other. The neutral point is :
A. in midway between them
B. \( 21 \mathrm{cm} \) from weaker magnet
c. \( 14 \mathrm{cm} \) from weaker magnet
D. \( 27 \mathrm{cm} \) from weaker magnet
Subject: Chemistry
Two elements A and B on burning in air give corresponding oxides. oxides of both \( A \) and \( B \) are soluble in water. The
aqueous solution of oxide of \( A \) is
alkaline and reacts with aqueous
solution of oxides of \( \mathrm{B} \) to give another compound. A and B are
A. A and B both are metal
B. A and B are non-metal
C . A is metal and B is non metal
D. A is non metal and B is metal
Subject: Physics
Radiation from hydrogen gas excited to first excited state is used for
illuminating certain photoelectric plate. When the radiation from some unknown
hydrogen-like gas excited to the same level is used to expose the same plate, it is found that the de Broglie wavelength of the fastest photoelectron has decreased 2.3 times. It is given that the energy corresponding to the longest wavelength of the Lyman series of the unknown gas (13.6 eV). Find the work function of the photoelectric plate in eV.
\( \left[\text { take }(2.3)^{2}=5.25\right] \)
Subject: Physics
A spherical ball is dropped in a long column of viscous liquid Which of the
following graphs represent the variation
of
(i) gravitational force with time
(ii) viscous force with time
(iii) net force acting on the bass with
time
A. \( Q, R, P \)
B. R, Q, P
\( c . P, Q, R \)
D. R, P, Q
Subject: Physics
The velocity vector \( \mathbf{v} \) and displacement vector \( x \) of a particle executing SHM are related as \( \frac{\boldsymbol{v} \boldsymbol{d} \boldsymbol{v}}{\boldsymbol{d} \boldsymbol{x}}=-\boldsymbol{\omega}^{2} \boldsymbol{x} \) with the initial
condition \( V=v_{0} \) at \( x=0 . \) The velocity
v, when displacement is \( x, \) is?
\( \mathbf{A} \cdot v=\sqrt{v_{0}^{2}+\omega^{2} x^{2}} \)
B . \( v=\sqrt{v_{0}^{2}-\omega^{2} x^{2}} \)
c. \( v=\sqrt[3]{v_{0}^{3}+\omega^{3} x^{3}} \)
D. \( V=v_{0}-\left(\omega^{3} x^{3} e^{x^{3}}\right)^{1 / 3} \)
Subject: Physics
\( \mathbf{A} \)
\( 60 \mathrm{kg} \) mass is pushed with a enough
force to start it moving and the same force is continued to act afterward. If
the coefficient of static friction and
sliding friction are 0.5 and 0.4 respectively, then the acceleration of
the body will be
A \( \cdot 1 \mathrm{ms}^{-2} \)
B. \( 3.9 \mathrm{ms}^{-2} \)
c. \( 4.9 \mathrm{ms}^{-2} \)
D. \( 6 m s^{-2} \)
Subject: Physics
Assertion
The right-handed coordinate system is converted into left-handed coordinate
system by a plane mirror and
Reason
Plane mirror produces the reversal in the direction of normal
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 are correct
Subject: Maths
If
\( A \) is a non-singular matrix, then
This question has multiple correct options
\( \mathbf{A} \cdot A^{-1} \) is symmetric if \( A \) is symmeteric
B. \( A^{-1} \) is skew-symmetric if \( A \) is symmeteric
\( \mathbf{C} \cdot\left|A^{-1}\right|=|A| \)
D \( \cdot\left|A^{-1}\right|=|A|^{-1} \)
Subject: Chemistry
Hydrogenation reaction:
\( \mathbf{A} \cdot R_{2} C=C R_{2}+H_{2} \stackrel{N i}{\rightarrow} R_{2} C H-C H R_{2} \)
B \( \cdot R_{2} C=C R_{2}+H_{2} \stackrel{N i}{\rightarrow} R_{2} C H-C H_{2} R \)
\( \mathbf{c} \cdot R_{2} C=C R_{2}+H_{2} \stackrel{N i}{\rightarrow} H_{2} C H-C H R_{2} \)
D. \( R_{2} C=C R_{2}+H_{2} \stackrel{N i}{\rightarrow} R_{2} C H-C H_{3} \)
Subject: Physics
The electric field intensity at point 0 is
A. zero
В \( \cdot \frac{q}{4 \pi \epsilon_{0}}\left[\frac{1}{r^{2}}-\frac{1}{R_{1}^{2}}+\frac{1}{R_{2}^{2}}\right] \)
c. \( \frac{q}{4 \pi \epsilon_{0}}\left[\frac{1}{r^{2}}-\frac{1}{R_{1}^{2}}\right] \)
D. None of these
Subject: Maths
If \( \int \frac{1}{\left(x^{2}+4\right)\left(x^{2}+9\right)} d x=A \tan ^{-1} \frac{x}{2}+ \)
\( B \tan ^{-1}\left(\frac{x}{3}\right)+C \) then \( A-B= \)
A \( \cdot \frac{1}{6} \)
B. \( \frac{1}{30} \)
\( c \cdot-\frac{1}{3} \)
D. \( -\frac{1}{6} \)
Subject: Maths
Find teh adjoint of the matrix \( \boldsymbol{A}= \) \( \left(\begin{array}{ccc}1 & 0 & -1 \\ 3 & 4 & 5 \\ 0 & -6 & -7\end{array}\right) \) and hence find the
matrix \( \boldsymbol{A}^{-1} \)
Subject: Maths
Find the derivative of \( \left(x^{2}+\cos x\right) \)
\( \mathbf{A} \cdot 2 x+\sin x \)
B. \( 2 x^{2}+\sin x \)
\( \mathbf{c} \cdot 2 x-\sin x \)
D. \( 2 x-\cos x \)
Subject: Chemistry
Statement I: Under the conditions of low
pressure and high temperature, the
ideal gas laws are inaccurate.

Statement II: The deviation from the
ideal gas law is due to non-negligible
volume of the molecules and the
interactions between molecules.
A. Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement 1
B. Both the 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
Subject: Physics
The position of a body moving along the x-axis at time \( t \) is given by \( t^{2}-4 t+6 \)
The distance traveled by body in time interval \( t=0 \) to \( t=3 s \) is
A. \( 5 m \)
в. \( 7 m \)
c. \( 4 m \)
D. \( 3 m \)
Subject: Chemistry
Which of the following reactions is correct for a given electrochemical cell
\( \operatorname{at} 25^{\circ} C ? \)
\( \boldsymbol{P t}\left|\boldsymbol{B r}_{2}(\boldsymbol{g})\right| \boldsymbol{B r}^{-}(\boldsymbol{a q}) \| \boldsymbol{C l}^{-}(\boldsymbol{a q}) \mid \boldsymbol{C l}_{2}(\boldsymbol{g}) \)
A \( \cdot 2 B r^{-}(a q)+C l_{2}(g) \rightarrow 2 C l^{-}(a q)+B r_{2}(g) \)
B . \( B r_{2}(g)+2 C l^{-}(a q) \rightarrow 2 B r^{-}(a q)+C l_{2}(g) \)
C. \( B r_{2}(g)+C l_{2}(g) \rightarrow 2 B r^{-}(a q)+2 C l^{-}(a q) \)
D \( \cdot 2 B r^{-}(a q)+2 C l^{-}(a q) \rightarrow B r_{2}(g)+C l_{2}(g) \)
Subject: Chemistry
Assertion
According to Bronsted Lowry theory \( B F_{3} \)
is an acid.
Reason
\( B F_{3} \) is an electron deficient compound.
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 circular smooth road of radius \( r= \)
\( 20 m \) is banked for vehicles moving at a
speed of \( v=36 k m p h \). If the friction
coefficient between the road and the
road and the Tyre is \( 0.3, \) find the maximum speed of a vehicle going around this curved road.
A. \( 29.39 k m p h \)
в. \( 39.29 k \) три
c. \( 40.39 k m p h \)
D. None of these
Subject: Physics
Assertion
\( \mathbf{9 2} \mathbf{U}^{\mathbf{2 3 5}}+\mathbf{o} \mathbf{n}^{\mathbf{1}} \longrightarrow \mathbf{5 6} \mathbf{B a}^{\mathbf{1 4 0}}+\mathbf{3 6} \mathbf{K e}^{\mathbf{9 3}}+ \)
\( 3 \mathrm{on}^{1} \) is a nuclear fission reaction.
Reason
Neutrons emitted do not react further.
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
\( \mathbf{a}=\left|\begin{array}{ccc}\boldsymbol{a} & \mathbf{5}-\boldsymbol{i} & \mathbf{7}+\boldsymbol{i} \\ \mathbf{5}+\boldsymbol{i} & \boldsymbol{b} & \mathbf{3}+\boldsymbol{i} \\ \mathbf{7}-\boldsymbol{i} & \boldsymbol{3}-\boldsymbol{i} & \boldsymbol{c}\end{array}\right|, \) then \( \boldsymbol{\Delta} \) is
always
A . real
B. imaginary
\( c \cdot 0 \)
D. None of these
Subject: Biology
Read the following five statements (A to
E) and select the option with all correct
statements:
This question has multiple correct options
A. Mosses and Lichens are the first organisms to colonise a bare rock
B. Selaginella is a homosporous pteridophyte
c. Coralloid roots in cycas have VAM
D. Main plant body in bryophytes to gametophytes, male present within sporangia located on sporophyte