AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
Assertion
Two thin blankets put together are warmer than a single blanket of double the thickness.
Reason
Thickness increases because of air
layer enclosed between the two blankets.
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: Physics
A ray refracts through a prism symmetrically such that the net
deviation of the ray is \( 42^{\circ} . \) If the
refracting angle of the prism is \( 56^{\circ} \)
Find the angle of incidence.
A \( \cdot 14^{\circ} \)
B . \( 28^{\circ} \)
\( c \cdot 49^{\circ} \)
D. none of these
Subject: Chemistry
The magnetic moment of a transition metal of \( 3 d \) -series is \( 6.92 B M . \) Its
electronic configuration will be:
A \( \cdot(3 d)^{4}(4 s)^{2} \)
B \( \cdot(3 d)^{5}(4 s)^{1} \)
\( c \cdot(3 d)^{10} \)
D. \( (3 d)^{5}(4 s)^{0} \)
Subject: Maths
Which of the following statements are incorrect?

If \( f(x) \) and \( g(x) \) are one to one then
\( \boldsymbol{f}(\boldsymbol{x})+\boldsymbol{g}(\boldsymbol{x}) \)
II If \( f(x) \) and \( g(x) \) are one to one then
\( \boldsymbol{f}(\boldsymbol{x}) \cdot \boldsymbol{g}(\boldsymbol{x}) \)
III If \( f(x) \) is odd then it is necessarily
one to one
A. I and II only
B. I land III only
\( \mathrm{c} \). ।, ॥ and ॥|
D. None of the above
Subject: Physics
Statement-
If the earth did not have an atmosphere,
it would become extremely cold. Statement-2
Heat energy is transferred through air mainly by convection.
A. Statement-1 is true, Statement-2 is true and Statement-2 is the correct explanation for Statement-
B. Statement-1 is true, Statement-2 is true but Statement-2 is not the correct explanation for Staement-
c. Statement- 1 is true, Statement- 2 is false.
D. Statement- 1 is false, Statement-2 is true
Subject: Chemistry
The major products obtained during ozonolysis of \( 2,3- \) dimethyl -1
butene and subsequent reductions with
\( Z n \) and \( H_{2} O \) are :
A. Methanoic acid and \( 2- \) methyl -2 - butanone
B. Methanal and \( 3- \) methyl -2 - butanone
C. Methanol and \( 2,2- \) dimethyl -3 - butanone
D. Methanoic acid and \( 2- \) methyl -3 - butanone
Subject: Physics
A particle is projected vertically
upwards with velocity \( 40 m s^{-1} \). Find the displacement and distance travelled by
the particle in 6 s. \( \left[\text { take } g=10 m / s^{2}\right] \)
A. \( 60 m, 100 m \)
B. \( 60 m, 120 m \)
c. \( 40 m, 100 m \)
D. \( 40 m, 80 m \)
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{lll}\mathbf{0} & \mathbf{0} & \mathbf{1} \\ \mathbf{0} & \mathbf{1} & \mathbf{0} \\ \mathbf{1} & \mathbf{0} & \mathbf{0}\end{array}\right], \) then \( \boldsymbol{A}^{-1} \) is
A . \( -A \)
в.
\( c \cdot 1 \)
D. None of these
Subject: Chemistry
In the reaction sequence:
\( \boldsymbol{A} \frac{\boldsymbol{S n C l}_{2} / \boldsymbol{H C l}}{\longrightarrow} \boldsymbol{B} \frac{N \boldsymbol{a} N \boldsymbol{O}_{2} / \boldsymbol{H} C l}{\boldsymbol{0}^{o}} \boldsymbol{C} \stackrel{\boldsymbol{H}_{2} \boldsymbol{O} / \boldsymbol{\Delta}}{\longrightarrow} \)
\( \boldsymbol{C}_{6} \boldsymbol{H}_{5} \boldsymbol{O} \boldsymbol{H}, \boldsymbol{A}, \boldsymbol{B}, \boldsymbol{C} \) are:
A. benzene, nitrobenzene, aniline
B. nitrobenzene, aniline, and azo-compound
c. nitrobenzene, benzene, aniline
D. benzene, amino compound, aniline
Subject: Physics
Assertion
A hollow shaft is found to be stronger
than a solid shaft made of same
material.
Reason
The torque required to produce a given twist in hollow cylinder is greater than
that required to twist a solid cylinder of same size and material.
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: Chemistry
The equilibrium constant for the
reaction, \( \boldsymbol{C H}_{3} \boldsymbol{C O O H}(\boldsymbol{l})+ \)
\( \boldsymbol{C}_{2} \boldsymbol{H}_{5} \boldsymbol{O} \boldsymbol{H}(\boldsymbol{l}) \rightleftharpoons \boldsymbol{C} \boldsymbol{H}_{3} \boldsymbol{C O O} \boldsymbol{C}_{2} \boldsymbol{H}_{5}(\boldsymbol{l})+ \)
\( \boldsymbol{H}_{2} \boldsymbol{O}(l) \) is \( 4 . \) What will be the
composition of the equilibrium mixture
when 1 mole of acetic acid is taken
along with 4 moles of ethyl alcohol?
Subject: Physics
Assertion
A laser beam of \( 0.3 W \) can drill a hole
through metal sheet, whereas light of \( 1000 W \) can not do so
Reason
Laser beam has very high frequency
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
Find the values of \( x \) and \( y, \) if \( \frac{\mathbf{2}}{\boldsymbol{x}}+\frac{\mathbf{6}}{\boldsymbol{y}}=\mathbf{1 3} ; \quad \frac{\mathbf{3}}{\boldsymbol{x}}+\frac{\boldsymbol{4}}{\boldsymbol{y}}=\mathbf{1 2} \)
A \( \cdot x=\frac{1}{6}, y=\frac{2}{3} \)
B. \( x=\frac{1}{3}, y=\frac{2}{3} \)
c. \( x=\frac{1}{7}, y=\frac{2}{3} \)
D. \( x=\frac{1}{2}, y=\frac{2}{3} \)
Subject: Maths
A sphere of diameter \( 12.6 \mathrm{cm} \) is melted
and cast into a right circular cone of height \( 25.2 \mathrm{cm} . \) The diameter of the base of the cone is?
A \( .158 .76 \mathrm{cm} \)
B . \( 79.38 \mathrm{cm} \)
c. \( 12.6 \mathrm{cm} \)
D. \( 69.39 \mathrm{cm} \)
Subject: Maths
The given quadratic equation have real roots and the roots are \( -2 \sqrt{3}, \frac{-\sqrt{3}}{2} \) \( \mathbf{2} \boldsymbol{x}^{2}+\mathbf{5} \sqrt{\mathbf{3}} \boldsymbol{x}+\mathbf{6}=\mathbf{0} \)
A. True
B. False
Subject: Biology
Listed below are four respiratory capacities (a -d) and four jumbled respiratory volumes of a normal human
adult
Respiratory capacities Respiratory volumes
(a) Residual volume 2500 mL
(b) Vital capacity \( 3500 \mathrm{mL} \)
(c) Inspiratory reserve volume 1200
\( \mathrm{mL} \)
(d) Inspiratory capacity 4500
\( \mathrm{mL} \)
Which one of the following is the correct matching of two capacities and volumes?
A \( . \) (a)4500 \( \mathrm{mL} \) (b)3500 \( \mathrm{mL} \)
B. (b)2500 \( \mathrm{mL} \) (с) 4500 \( \mathrm{mL} \)
c. \( (c) 1200 \mathrm{mL} \) (d)2500 \( \mathrm{mL} \)
D. (d) 3500mL (a)1200 \( m L \) L
Subject: Maths
India plays two matches each with West Indies and Australia. In any match the probabilities of India getting points
1,2,3 are 0.45,0.05 and 0.50
respectively. Assuming that outcomes are independent, the probability of India getting at least 7 points is
A .0 .0624
B. 0.0875
c. 0.8750
D. 0.0250
Subject: Maths
\( \boldsymbol{R}=\sqrt{\boldsymbol{P}^{2} \boldsymbol{Q}^{2}-\boldsymbol{2} \boldsymbol{P} \boldsymbol{Q} \sin (\boldsymbol{\theta}-\boldsymbol{9} \boldsymbol{0})} \)
Here \( \boldsymbol{P}=\mathbf{1 0 1} \boldsymbol{g}, \boldsymbol{Q}=\mathbf{1 0 6} \boldsymbol{g}, \) and \( \boldsymbol{\theta}= \)
\( \mathbf{1 0 9}^{\boldsymbol{O}} \)
Subject: Chemistry
Which one of the following statements
is not correct?
A. The pH of \( 1.0 \times 10^{-8} \mathrm{M} \mathrm{HCl} \) is less than 7
B. The ionic product of water at \( 25^{0} C \) is \( 1.0 \times \) \( 10^{-14} \mathrm{mol}^{2} L^{-2} \)
C \( \cdot C l^{-} \) is a Lewis acid
D. Bronsted-Lowry theory cannot explain the acidic character of \( A l C l_{3} \)
Subject: Physics
A tennis ball is released from height \( h \) above ground level. If the ball makes inelastic collision with the ground, to
what height will it rise after third
collision, e is the coefficient resitiution
between ball and ground?
A \( \cdot h e^{6} \)
B \( \cdot e^{2} h \)
\( \mathbf{c} \cdot e^{3} h \)
D. None of these
Subject: Maths
\( f \int \frac{2 e^{5 x}+e^{4 x}-4 e^{3 x}+4 e^{2 x}+2 e^{x}}{\left(e^{2 x}+4\right)\left(e^{2 x}-1\right)^{2}} d x \)
\( =\tan ^{-1}\left(e^{x / 2}\right)-\frac{K}{248\left(e^{2 x}-1\right)}+C \)
then \( K \) is equal to
Subject: Maths
If \( f(x)=[x \sin \pi x], \) then which of the
following is incorrect?
A. \( f(x) \) is continuous at \( x=0 \)
B. \( f(x) \) is continuous in (-1,0)
c. \( f(x) \) is differentiable at \( x=1 \)
D. \( f(x) \) is differentiable in (-1,1)
Subject: Chemistry
A reaction which is of first order w.r.t
reactant \( A, \) has a rate constant 6
\( \boldsymbol{m} \boldsymbol{i n}^{-1} . \) If we start with \( [\boldsymbol{A}]=\mathbf{0 . 5 m o l} \)
\( \boldsymbol{L}^{-1}, \) when would \( [\boldsymbol{A}] \) reach the value of
\( 0.05 m o l L^{-1} ? \)
\( \mathbf{A} \cdot 0.384 \mathrm{min} \)
B. 0.15 min
c. 3 min
D. 3.84 min
Subject: Maths
Let \( f \) be the function \( f(x)=\cos x- \)
\( \left(1-\frac{x^{2}}{2}\right), \) then find the interval in which \( f(x) \) is strictly increasing.
\( A \cdot(-\infty, \infty) \)
в. \( (-2, \infty) \)
c. \( [0, \infty) \)
()
D. \( (0, \infty) \)
Subject: Physics
A charge \( +q \) is fixed at each of the
points \( \boldsymbol{x}=\boldsymbol{x}_{0}, \boldsymbol{x}=\mathbf{3} \boldsymbol{x}_{0}, \boldsymbol{x}=\mathbf{5} \boldsymbol{x}_{0} \dots \dots \) up
to infinity on \( x \) axis and a charge \( (-q) \) is
fixed on each of points of \( \boldsymbol{x}=\mathbf{2} \boldsymbol{x}_{0}, \boldsymbol{x}= \)
\( \mathbf{4} \boldsymbol{x}_{0}, \boldsymbol{x}=\boldsymbol{6} \boldsymbol{x}_{0} \ldots \ldots . . \) up to infinity, here \( \boldsymbol{x}_{\mathbf{0}} \)
is a positive constant. Take the potential at a point due to a charge \( Q \) at a distance \( r \) from it \( \frac{Q}{4 \pi \varepsilon_{0} r}, \) then the potential at the origin due to above
system of charges will be :
A . 0
B. \( \infty \)
c. \( \frac{q \log _{e} 2}{4 \pi \varepsilon_{a}} \)
D. \( \frac{q}{8 \pi \varepsilon_{0} x_{0} \log _{e} 2} \)
Subject: Maths
\( \mathbf{f} \boldsymbol{A}=\left[\begin{array}{ccc}\mathbf{1} & \mathbf{- 2} & \mathbf{0} \\ \mathbf{2} & \mathbf{1} & \mathbf{3} \\ \mathbf{0} & \mathbf{- 2} & \mathbf{1}\end{array}\right], \) then \( \boldsymbol{A}^{-1}= \)
Subject: Maths
Prove that \( \left|\begin{array}{ccc}\boldsymbol{y} \boldsymbol{z}-\boldsymbol{x}^{2} & \boldsymbol{z} \boldsymbol{x}-\boldsymbol{y}^{2} & \boldsymbol{x} \boldsymbol{y}-\boldsymbol{z}^{2} \\ \boldsymbol{z} \boldsymbol{x}-\boldsymbol{y}^{2} & \boldsymbol{x} \boldsymbol{y}-\boldsymbol{z}^{2} & \boldsymbol{y} \boldsymbol{z}-\boldsymbol{x}^{2} \\ \boldsymbol{x} \boldsymbol{y}-\boldsymbol{z}^{2} & \boldsymbol{y} \boldsymbol{z}-\boldsymbol{x}^{2} & \boldsymbol{z} \boldsymbol{x}-\boldsymbol{y}^{2}\end{array}\right| \)
divisible by \( (x+y+z) \) and hence find
the quotient
Subject: Physics
A particle of mass \( m \) describes a circle
of radius \( r . \) The centripetal acceleration of the particle is \( \frac{4}{r^{2}} . \) Then the momentum of the particle is
A \( \cdot_{2} \frac{m}{r} \)
в. \( 2 \frac{m}{\sqrt{r}} \)
c. \( 4 \frac{m}{\sqrt{r}} \)
D. None of these
Subject: Physics
A cylindrical disc of a gyroscope of \( \operatorname{mass} \boldsymbol{m}=15 k g \) and radius \( \boldsymbol{r}=\mathbf{5 . 0} \boldsymbol{c m} \)
spins with an angular velocity \( \omega= \) 330 rad/s.The distance between the
bearings in which the axle of the disc is mounted is equal to \( l=15 \mathrm{cm} \). The
axle is forced to oscillate about a
horizontal axis with a period \( \boldsymbol{T}=\mathbf{1 . 0} \boldsymbol{s} \)
and amplitude \( \varphi_{m}=20^{\circ} . \) Find the
maximum value of the gyroscopic forces exerted by the axle on the bearings in \( \boldsymbol{N} \)
Subject: Maths
\( \int \frac{\boldsymbol{x}+\boldsymbol{2}}{\mathbf{2} \boldsymbol{x}^{2}-\mathbf{7} \boldsymbol{x}+\mathbf{3}} \boldsymbol{d} \boldsymbol{x}= \)
A. \( \log \left|\frac{x-3}{2 x-1}\right|+c \)
в. \( \log \left|\frac{x-3}{\sqrt{2 x-1}}\right|+c \)
c. \( \frac{1}{2} \log \left|\frac{x-3}{2 x-1}\right|+c \)
D. \( \frac{1}{2} \log \left|\frac{x-3}{\sqrt{2 x-1}}\right|+c \)
Subject: Maths
In a rhombus of side \( 10 \mathrm{cm} \), one of the
diagonals is \( 12 \mathrm{cm} \) long. Find the length of the second diagonal.
\( \mathbf{A} \cdot 15 \mathrm{cm} \)
B. \( 16 \mathrm{cm} \)
\( c .17 c m \)
D. none of the above
Subject: Maths
ff \( y=2 \tan ^{-1} x+\sin ^{-1} \frac{2 x}{1+x^{2}} \) then
A. \( -\pi / 2<y<\pi / 2 \)
в. \( -3 \pi / 2<y<3 \pi / 2 \)
c. \( -\pi<y<\pi \)
D. \( -\pi / 4<y<\pi / 4 \)
Subject: Chemistry
In which of the following cell, salt bridge is not needed?
This question has multiple correct options
A \( \cdot P b\left|P b S O_{4}(s) \| H_{2} S O_{4}\right| P b O_{2} \mid P b \)
в. \( C d|C d O(s)| K O H(a q)\left|N i O_{2}(s)\right| N i \)
c. \( F e(s)|F e O(s)|\left|K O H(a q)-N i_{2} O_{3}(s)\right| N i \)
D. \( Z n\left|Z n S O_{4}\right| C u S O_{4} \mid C u \)
Subject: Maths
What is the solution of the differential
equation \( \boldsymbol{x} \boldsymbol{d} \boldsymbol{y}+\boldsymbol{y} \boldsymbol{d} \boldsymbol{x}=\mathbf{0} \)
A \( . x y=c \)
в. \( y=c x \)
c. \( x+y=c \)
D. \( x-y=c \)
Subject: Physics
An electron in a hydrogen atom
undergoes a transition from an orbit
with quantum number \( n_{i} \) to another
with quantum number \( n_{f} . V_{i} \) and \( V_{f} \) are respectively the initial and final potential energies of the electron. If \( \frac{V_{i}}{V_{f}}=6.25, \) then the smallest possible \( \boldsymbol{n}_{f} \) is
Subject: Maths
If \( \phi(x)=f(x)+x f^{1}(x) \) then \( \int \phi(x) d x \)
is equal to
A. \( (x+1) f(x)+k \)
В. \( (x-1) f(x)+k \)
c. \( x f(x)+k \)
D. None of these
Subject: Chemistry
The \( E_{\text {cell }}^{o} \) for \( \boldsymbol{C u}\left|\boldsymbol{C} \boldsymbol{u}^{2+} \| \boldsymbol{A} \boldsymbol{g}^{+}\right| \boldsymbol{A} \boldsymbol{g} \) is:
A . \( 0.415 V \)
в. \( 0.374 V \)
c. \( -0.415 V \)
D. \( -0.374 V \)
Subject: Physics
The potential energy function for a
particle executing linear simple
harmonic motion is given by \( U(x)= \)
\( \frac{1}{2} k x^{2}, \) where \( k \) is the force constant. For
\( k=0.5 N m^{-1}, \) the \( \operatorname{graph} \) of \( U(x) \)
versus \( x \) is shown in figure. Show that a
particle of total energy \( 1 J \) moving
under this potential' turns back' when
it reaches \( \boldsymbol{x}=\pm \mathbf{2} \boldsymbol{m} \)
Subject: Biology
Under condition of constant
¡Illumination, the compensation period
for a whole aquarium would be of
infinite length when
A. The biomass of animals equals the biomass of plants.
B. The respiratory exchanges of the animals are equal to the photosynthesis exchanges of the plants.
C. The oxygen intake of the animals equal of oxygen outputs of photosynthesis
D. The carbon dioxide output of the animals and plants is equal to the photosynthetic intake of the plants.
Subject: Chemistry
At a given temperature, the equilibrium
constant for the reaction \( \boldsymbol{P} \boldsymbol{C l} \boldsymbol{l}_{5}(\boldsymbol{g}) \leftrightharpoons \)
\( \boldsymbol{P C l}_{3}(\boldsymbol{g})+\boldsymbol{C l}_{2}(\boldsymbol{g}) \) is \( \boldsymbol{2} . \boldsymbol{4} \times 10^{-3} . \) At the
same temperature, the equilibrium constant for the reaction
\( \boldsymbol{P C l}_{3}(\boldsymbol{g})+\boldsymbol{C l}_{2}(\boldsymbol{g}) \leftrightharpoons \boldsymbol{P C l}_{5}(\boldsymbol{g}) \) is:
A \( .2 .4 \times 10^{-3} \)
В. \( -2.4 \times 10^{-3} \)
C \( .4 .2 \times 10^{2} \)
Subject: Chemistry
What is a coefficient?
A. A whole number that appears in front of a formula in a balanced chemical equation
B. A whole number that appears as a subscript at the end of a formula in a balanced chemical equation
C. A whole number that appears as a subscript in front of a formula in a balanced chemical equation
D. A fraction that appears in front of a formula in a balanced chemical equation
E. A whole number that appears as a superscript at the end of a formula in a balanced chemical equation
Subject: Chemistry
What are the electronic configuration of
\( N a^{+} \) and \( C l^{-} \) ions?
\( \mathbf{A} \cdot N a^{+}=2,8,2 \) and \( C l^{-}=2,8,7 \)
B. \( N a^{+}=2,8 \) and \( C l^{-}=2,8,8 \)
\( \mathbf{C} \cdot N a^{+}=2,8,2 \) and \( C l^{-}=2,8,6 \)
D. \( N a^{+}=2,8 \) and \( C l^{-}=2,8,7 \)
Subject: Chemistry
Assertion
Dipole moment of \( C-F \) bond is less
than that of \( C-C l \) bond
Reason
\( \boldsymbol{F} \) is more electronegative than \( \boldsymbol{C l} \)
Read the above assertion and reason and
choose the correct option regarding it.
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: Physics
In a single slit diffraction with \( \lambda= \) \( 500 n m \) and a lens of diameter \( 0.1 \mathrm{mm} \)
width of central maxima, obtain on
screen at a distance of \( 1 \mathrm{m} \) will be
\( \mathbf{A} \cdot 5 m m \)
B. \( 1 \mathrm{mm} \)
\( \mathrm{c} .10 \mathrm{mm} \)
D. \( 2.5 m m \)
Subject: Chemistry
When 2 g of gas \( A \) is introduced into an evacuated flask kept at \( 25^{\circ} C \), the
pressure was found to be 1 atmosphere If 3 g of another gas \( B \) is then added to the same flask, the pressure becomes 1.5 atm. Assuming ideal behaviour, the ratio of molecular weights \( \left(M_{B}: M_{A}\right) \)
is :
A . 1: 3
B. 3:
c. 2: 3
D. 3:
Subject: Physics
The amount of heat (in calories)
required to convert 10 g of ice at \( -10^{0} C \)
into steam at \( 100^{0} C \) is nearly:
(Specific heat of steam is
\( \mathbf{5 3 6} \) cal \( / \mathbf{g m}-\mathbf{K} \)
A \( . \quad 5400 \) cal
B. 6400 cal
c. 7210 cal
D. 8250 cal
Subject: Physics
'The parallax angle in radians is: \( \boldsymbol{\theta}= \) \( \left(1+\frac{54}{60}\right) \times \frac{\pi}{180}=0.03316 \mathrm{rad} \)
Hence, the distance between moon and earth:
A. \( \frac{\text { Diameter of Earth }}{\theta} \)
в. \( \frac{1.276 \times 10^{7} m}{0.03316} \)
c. \( 3.84 \times 10^{8} m \)
D. nnone of these
Subject: Biology
Assertion
Systematics is defined as the science of diversity of organisms in evolutionary
context
Reason
Systematics include interrelationship
between organisms
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: Chemistry
The reaction given below is interpreted
as:
\( \boldsymbol{H}_{2} \boldsymbol{S}(\boldsymbol{g})+\boldsymbol{C l}_{2}(\boldsymbol{g}) \rightarrow \boldsymbol{2} \boldsymbol{H} \boldsymbol{C l}(\boldsymbol{g})+\boldsymbol{S}(\boldsymbol{s}) \)
A. \( H_{2} S \) is getting oxidized and \( C l_{2} \) is getting reduced
B. \( H_{2} S \) is getting reduced and \( C l_{2} \) is getting oxidized
c. only \( H_{2} S \) is oxidized
D. Both \( H_{2} S \) and \( C l_{2} \) are reduced
Subject: Chemistry
Two students use same stock solution
of \( Z n S O_{4} \) and a solution of \( C u S O_{4} \). The
emf of one cell is \( 0.03 V \) higher than that of other. The concentration of
\( C u S O_{4} \) in the cell with higher emf value
is \( 0.5 M . \) Find out the concentration of
\( C u S O_{4} \) in the other cell. \( \left(\frac{2.303 R T}{F}=0.06\right) \)
Subject: Maths
Based on equations reducible to linear
equations

Solve for \( x \) and \( y: 9+25 x y=53 x \) and
\( 27-4 x y=x \)
A. \( x=1, y=4 \)
в. \( x=2, y=7 \)
c. \( x=6, y=2 \)
D. \( x=3, y=2 \)
Subject: Physics
A moving coil galvanometer has a coil of area \( A \) and number of turns \( N . A \)
magnetic field \( \mathrm{B} \) is applied on it. The torque acting on it is given by \( \boldsymbol{\tau}=\boldsymbol{k} \boldsymbol{i} \)
where i is current through the coil. If moment of inertia of the coil is I about
the axis of rotation.
A charge \( Q \) is passed almost instantaneously through coil If the maximum angular deflection in it \( \mathbf{s} \boldsymbol{\theta}=\boldsymbol{Q} \sqrt{\frac{\boldsymbol{\pi} \boldsymbol{N} \boldsymbol{A} \boldsymbol{B}}{\boldsymbol{x} \boldsymbol{I} \boldsymbol{i}_{0}}} . \) Find \( \mathbf{x} \)
Subject: Maths
Let \( \boldsymbol{f}(\boldsymbol{x})=\sin \left(\tan ^{-1} \boldsymbol{x}\right) . \) Then
\( [\boldsymbol{f}(-\sqrt{\mathbf{3}})], \) where [.] denotes the
greatest integer function, is
\( ^{\mathrm{A}}-\frac{\sqrt{3}}{2} \)
B.
c. -1
D. none of these
Subject: Chemistry
Assertion
The ratio of speeds of cation and anions of an electrolyte under same potential gradient is \( 2: 3, \) the fall in concentration around anodic and cathodic solution
will be in the ratio 1: 1 during the passage of current.
Reason
The number of ions discharged at either
electrode during electrolysis in independent of their relative speed.
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 mass \( M \) at rest is broken into two
pieces having masses \( m \) and \( (M-m) \)
The two masses are then separated by a distance \( r . \) The gravitational force between them will be the maximum
when he ratio of the masses \( [\boldsymbol{m}:(\boldsymbol{M}- \)
\( \boldsymbol{m}) \) of the two parts is
A . 1:
B. 1: 2
\( c \cdot 1: 3 \)
D. 1: 4
Subject: Maths
If one diagonal of a square is along the
line \( x=2 y \) and one of its vertices is
\( (3,0), \) then its sides through this vertex are given by the equations
A. \( y-3 x+9=0,3 y+x-3=0 \)
B. \( y+3 x+9=0,3 y+x-3=0 \)
c. \( y+3 x+9=0,3 y-x+3=0 \)
D. \( y-3 x+3=0,3 y+x+9=0 \)
Subject: Physics
Which of the following is true for vitreous humour?
a. It is a clear gel like fluid.
b. It is present between the lens and the
cornea.
c. It maintains the shape of the retina.
d. It provides nutrition to the eye.
A \( . \) a and \( b \)
B. c and d
c. a and \( c \)
D. all of the above
Subject: Chemistry
Reaction of monochloro ethane is
hydrolysed with aqueous KOH as follows:
\( \boldsymbol{C H}_{3} \boldsymbol{C H}_{\boldsymbol{x}} \boldsymbol{C l}+\boldsymbol{a q} \cdot \boldsymbol{K O H} \rightarrow \)
\( \boldsymbol{C}_{2} \boldsymbol{H}_{\boldsymbol{y}} \boldsymbol{O} \boldsymbol{H}+\boldsymbol{K} \boldsymbol{C l} \)
Find \( x \) and \( y \)
A. \( x=1, y=3 \)
B. \( x=1, y=5 \)
c. \( x=2, y=3 \)
D. \( x=2, y=5 \)
Subject: Physics
Two cells of emf \( E_{1} \) and \( E_{2}\left(E_{1},>E_{2}\right) \)
are connected as shown in figure. When
a potentiometer is connected between \( \mathbf{A} \) and \( \mathrm{B} \), the balancing length of the potentiometer wire is \( 300 \mathrm{cm} \). When the
same potentiometer is connected between \( A \) and \( C, \) the balancing length
is \( 100 \mathrm{cm} . \) The ratio of \( E_{1} \) and \( E_{2} \) is
\( A \cdot 3: 2 \)
B. 4: 3
\( c \cdot 5: 4 \)
D. 2: 1
Subject: Maths
The degree of the differential equation \( \boldsymbol{x}=\mathbf{1}+\left(\frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}\right)+\frac{\mathbf{1}}{\mathbf{2 !}}\left(\frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}\right)^{2}+ \)
\( \frac{1}{3 !}\left(\frac{d y}{d x}\right)^{3}+\dots \)
A . 3
B . 2
\( c \cdot 1 \)
D. not defined
Subject: Maths
There are two sections \( A \) and \( B \) of a
class consisting of 36 and 44 students respectively. If the average weight of section \( \boldsymbol{A} \) is \( \mathbf{4 0} \) kg and that of section \( \boldsymbol{B} \)
is \( 35 \mathrm{kg} \), find the average weight of the
whole class?
Subject: Physics
The Sl unit of inductance, henry can be written as:
a) \( \frac{\text { weber }}{\text { ampere }} \)
b) \( \frac{V o l t-\text { second }}{\text { ampere }} \) c) \( \frac{\text {joule}}{\text {ampere}^{2}} \)
d) Ohm - second
A. a \& c are correct
B. a \& b are correct
c. a, b \& c are correct
D. all are correct