AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Which of the following statements is
correct for \( \boldsymbol{C} \boldsymbol{s} \boldsymbol{B} \boldsymbol{r}_{3} \)
A. It is covalent compound
B. It contains \( C s^{3+} \) and \( B r^{-} \)
c. ।t contains \( C s^{+} \) and \( B r_{3}^{-} \)
D. It contains \( C s^{+}, B r^{-} \) and lattice \( B r_{2} \) molecule
Subject: Maths
Let \( \boldsymbol{f}(\boldsymbol{x})=\log \left(\log _{\frac{1}{3}}\left(\log _{7}(\sin \boldsymbol{x}+\boldsymbol{a})\right)\right) \)
be defined for every real value of \( x, \) then
the possible value of \( a \) is This question has multiple correct options
\( A \cdot 7 \)
B. 8
\( c .9 \)
D. 6
Subject: Physics
A body starts from rest and moves with a uniform acceleration. The ratio of the
distance covered in the \( n \) th second to
distance covered in \( n \) seconds is
A \( \cdot \frac{2}{n}-\frac{1}{n^{2}} \)
в. \( \frac{1}{n^{2}}-\frac{1}{n} \)
c. \( \frac{2}{n^{2}}-\frac{1}{n} \)
D. \( \frac{2}{n}+\frac{1}{n^{2}} \)
Subject: Physics
A particle of mass \( \mathrm{M} \) at rest decays into
particles of masses \( m_{1} \) and \( m_{2} \) having non -zero velocities. The ratio of the de
broglie wavelengths of the particles
\( \lambda_{1} / \lambda_{2} \) is :
\( \mathbf{A} \cdot m_{1} / m_{2} \)
в. \( m_{2} / m_{1} \)
\( c \)
D. m1.m2
Subject: Physics
Two bodies move uniformly towards each other. They become \( 4 m \) nearer in
every 1 second. After crossing each
other they get \( 4 m \) farther every 10
second. If their speeds are constant,
their values would be
A . \( 1.8 m s^{-1}, 1.8 m s^{-1} \)
B . \( 2.2 m s^{-1}, 2.0 m s^{-1} \)
c. \( 2.2 m s^{-1}, 1.8 m s^{-1} \)
D. \( 1.5 m s^{-1}, 2.5 m s^{-1} \)
Subject: Maths
If \( M(x, y) \) is equidistant from \( A(a+ \) \( b, b-a) \) and \( B(a-b, a+b), \) then
A. \( b x+a y=0 \)
В. \( b x-a y=0 \)
\( \mathbf{c} \cdot a x+b y=0 \)
D. \( a x-b y=0 \)
Subject: Maths
Let \( R \) be a relation from \( A= \)
\{1,2,3,4\} to \( B=\{1,3,5\} \) such that
\( \boldsymbol{R}=[(\boldsymbol{a}, \boldsymbol{b}): \boldsymbol{a}< \)
\( b, \text { where } a \epsilon A \text { and } b \epsilon B] . \) What is \( R \)
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: Physics
The potential energy function for the
force between two atoms in a diatomic
molecule can be expressed approximately as \( U(r)=\frac{a}{r^{12}}-\frac{b}{r^{6}} \)
where \( a \) and \( b \) are constants and \( r \) is the
separation between the atoms.
(a) Determine the force function \( \boldsymbol{F}(\boldsymbol{r}) \)
(b) Find the value of for which the
molecule will be in the stable
equilibrium.
Subject: Maths
Three vertices of a tetrahedron are
(0,0,0),(6,-5,-1) and \( (-4,1,3) . \) If the centroid of the tetrahedron be (1,-2,5)
then the fourth vertex is
A. (2,-4,18)
в. (2,-4,-18)
\( ^{c} \cdot\left(\frac{3}{4}, \frac{-3}{2}, \frac{7}{4}\right) \)
D. none of these
Subject: Physics
Some statements about heavy water
are given below:
(i) Heavy water is used as a moderator
in nuclear reactors.
(ii) Heavy water is more associated than ordinary water.
(iii) Heavy water is a more effective
solvent than ordinary water.

Which of the above statements are
correct?
A \( \cdot \) (i) and (ii)
B. (i), (ii) and (iii)
c. (ii) and (iii)
D. (i) and (iii)
Subject: Physics
Gravitational acceleration on the
surface of a planet is \( \frac{\sqrt{\mathbf{6}}}{11} \) g, where \( g \) is the gravitational acceleration on the surface of the earth. The average mass density of the planet is \( \frac{2}{3} \) times that of
the Earth. If the escape speed on the surface of the earth is taken to be 11
\( k m s^{-1}, \) the escape speed on the surface
of the planet is \( k m s^{-1} \) will be?
Subject: Chemistry
\( \boldsymbol{C}_{7} \boldsymbol{H}_{8} \stackrel{3 C l_{2} / \text {heat}}{\rightarrow} \boldsymbol{A} \stackrel{\boldsymbol{F} e / B r}{\rightarrow} \boldsymbol{B} \stackrel{Z \boldsymbol{n} / H C l}{\rightarrow} \boldsymbol{C} \)
Here, the compound C is:
A. 3 -bromo 2,4,6 -trichlorotoluene
B. o-bromotoluene
c. P-bromotoluene
D. m-bromotoluene
Subject: Chemistry
The solubility of \( \boldsymbol{P b}(\boldsymbol{O H})_{2} \) in water is
\( 6.7 \times 10^{-6} M . \) Calculate the solubility of
\( \boldsymbol{P b}(\boldsymbol{O H})_{2} \) in a buffer solution of \( \mathrm{pH}=\mathbf{8} \)
A \( .3 .2 \times 10^{-3} \)
B. \( 12 \times 10^{-3} \)
c. \( 1.2 \times 10^{-3} \)
D. \( 6 \times 10^{-4} \)
Subject: Physics
Two point masses \( m \) and \( M \) are
separated by a distance \( L \). The distance
of the center of mass of the system from
\( \boldsymbol{m} \) is :
\( \mathbf{A} \cdot L(m / M) \)
в. \( L(M / m) \)
c. \( _{L\left(\frac{M}{m+M}\right)} \)
D. \( L\left(\frac{m}{m+M}\right) \)
Subject: Physics
Two trains are approaching each other on parallel tracks with same velocity.
The whistle sound produced by one train is heard by a passenger in another train. If actual frequency of whistle is
\( 620 \mathrm{Hz} \) and apparent increase in its frequency is \( 100 \mathrm{Hz} \), the velocity of one of the two trains is (Velocity of sound in air \( \left.=335 m s^{-1}\right) \)
A. 90kmph
B. 72 kmph
c. \( 54 \mathrm{kmph} \)
D. 36 kmph
Subject: Physics
14 12
connected by a string which passes
over a frictional pulley. If \( \mathrm{M}_{1}, \mathrm{M}_{2} \) and the
table are frictionless, the acceleration
of the masses would be
\( \mathbf{A} \cdot \frac{M_{1} g}{M_{1}+M_{2}} \)
B. \( \frac{M_{1}+M_{2}}{M_{1} g} \)
c. \( \frac{M_{2} g}{M_{1}+M_{2}} \)
D. none of these
Subject: Maths
If metallic circular plate of radius \( 50 \mathrm{cm} \)
is heated so that its radius increases at
the rate of \( 1 \mathrm{mm} \) per hour, then the rate
at which the area of the plate increases \( \left(\operatorname{in} c m^{2} / h r\right) \) is
A . \( 5 \pi \)
в. \( 10 \pi \)
c. \( 100 \pi \)
D. \( 50 \pi \)
Subject: Physics
toppr oGın
Q Type your question
position \( x=12 \mathrm{m} \) on the line.
A proton placed at any point on the line
between the two charges will
experience a net force due to the two
charges. The net force acting on the
proton is shown as a function of
position in the graph, where positive
values of force represent rightward
force.

What is the sign of each charge, and
which charge is stronger?
A. Charge 1 is positive, Charge 2 is negative, and the stronger charge is Charge 1.
B. Charge 1 is positive, Charge 2 is positive, and the stronger charge is Charge 1
c. charge 1 is negative, Charge 2 is positive, and the stronger charge is Charge 2
D. Charge 1 is negative, Charge 2 is negative, and the stronger charge is Charge 2 .
E. Charge 1 is negative, Charge 2 is negative, and the stronger charge is Charge 1.
Subject: Chemistry
\( \Delta G^{0} \) for the reaction \( 2 N O(g)+ \)
\( O_{2}(g) \rightarrow N_{2} O_{4}(g) \) at \( 298 \mathrm{k} \) and 1 atm
pressure, will be [given that the enthalpy of formation of \( \mathrm{NO}(\mathrm{g}) \) is
\( 90.5 k J m o l^{-1} \)
The enthalpy of formation of \( N_{2} O_{4}(g) \) is
\( 9.7 k J m o l^{-1} \)
The standard entropy of \( \mathrm{NO}(\mathrm{g}) \) is \( 210 J k^{-1}, O_{2}(g) \) is
\( 205 J k^{-1} m o l^{-1}, N_{2} O_{4}(g) \) is \( 304 J K^{-1} c \)
\( \exists: \)
B. \( -75.64 k J \)
c. \( -64.24 k J \)
D . \( -83.27 k J \)
Subject: Maths
The value of
\( \left(\cos 60^{\circ} \cos 30^{\circ}-\sin 60^{\circ} \sin 30^{\circ}\right) \) is
\( \mathbf{A} \cdot \mathbf{0} \)
B. \( \frac{\sqrt{3}}{2} \)
\( c \cdot \frac{1}{2} \)
\( D \)
Subject: Chemistry
Write a balance chemical equation of
the following:
\( \boldsymbol{F} \boldsymbol{e} \boldsymbol{S} \boldsymbol{O}_{4}(\boldsymbol{s}) \stackrel{\text {heat}}{\longrightarrow} \boldsymbol{F} \boldsymbol{e}_{2} \boldsymbol{O}_{3}(\boldsymbol{s})+\boldsymbol{S} \boldsymbol{O}_{2}(\boldsymbol{g})+ \)
\( \boldsymbol{S} \boldsymbol{O}_{3}(\boldsymbol{g}) \)
Subject: Maths
The coefficient of \( x^{9} \) in the expansion of \( \left(x^{3}+\frac{1}{2^{t}}\right)^{11}, \) where \( t=\log _{\sqrt{2}}\left(x^{\frac{3}{2}}\right) \)
A . -5
в. 330
\( c .520 \)
D. \( 5+\log _{\sqrt{2}}(3) \)
Subject: Physics
An iron sphere of mass \( 20 \times 10^{-3} k g \)
falls through a viscous liquid with terminal velocity \( 0.5 m s^{-1} \). The terminal
velocity \( \left(\text { in } m s^{-1}\right) \) of another
iron sphere of mass \( 54 \times 10^{-2} k g \) is:
A . 4.5
в. 3.
c. 2.5
D. 1.5
Subject: Chemistry
\( \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{N} \boldsymbol{H}_{2} \) is soluble in:
This question has multiple correct options
A. dilute \( H C l \)
B. \( C u S O_{4} \) solution
\( \mathrm{c} . A g N O_{3} \)
D. none of these
Subject: Chemistry
Silver is monovalent and has an atomic
mass of \( 108 . \) Copper is divalent and has an atomic mass of \( 63.6 . \) The same
electric current is passed, for the same length of time through a silver
coulometer and a copper coulometer. If \( 27.0 \mathrm{g} \) of silver is deposited, then the corresponding amount if copper deposited is:
A. \( 31.80 g \)
B. 15.90 g
c. \( 7.95 \mathrm{g} \)
D. none of these
Subject: Physics
A wire \( 88 \mathrm{cm} \) long bent into a circular loop is placed perpendicular to the magnetic field of flux density 2.5 Wb
\( m^{-2} . \) Within \( 0.5 \mathrm{s} \), the loop is changed
into a square and flux density is increased to \( 3.0 \mathrm{Wb} \mathrm{m}^{-2} \). The value of
e.m.f. induced is :
A . \( 0.018 v \)
B. 0.016v
c. \( 0.020 v \)
D. 0.012V
Subject: Maths
\( A \) earns \( 800 R s . \) more than \( B . \) They
both save together \( 3,200 R s . \) which is
one-fourth of \( \boldsymbol{A}^{\prime} \) s salary plus one-sixth
of \( B^{\prime} \) s salary. Find out their total monthly expenditure.
A. Rs. 12,000
B. Rs. 15,000
c. Rs. 10,000
D. Rs. 17,000
Subject: Physics
A thin equiconvex glass lens \( \left(\mu_{g}=1.5\right) \) is being placed on the top of a vessel of
height \( h=20 \mathrm{cm} \) as shown in fig. \( A \)
luminous point source is being placed
at the bottom of vessel on the principal axis of the lens. When the air is on both
the side of the lens the image of
luminous source is formed at a
distance of \( 20 \mathrm{cm} \) from the lens out side
the vessel. When the air inside the
vessel is being replaced by a liquid of
refractive index \( \mu_{1} \), the image of the
same source is being formed at a distance \( 30 \mathrm{cm} \) from the lens outside
the vessel. If \( \mu_{1} \) is approximately \( \frac{x}{100} \) Find \( \boldsymbol{x} \)
Subject: Maths
\( f\left(a_{1}, a_{2}, a_{3}, \dots . . \) are in G.P. then the value \right.
of determinant \( \left|\begin{array}{ccc}\log a_{n} & \log a_{n+1} & \log a_{n+2} \\ \log a_{n+3} & \log a_{n+4} & \log a_{n+5} \\ \log a_{n+6} & \log a_{n+7} & \log a_{n+8}\end{array}\right| \) equal
\( \mathbf{A} \cdot \mathbf{0} \)
B. 1
\( c \cdot 2 \)
D. 4
Subject: Chemistry
Given that \( \boldsymbol{K}_{s p} \) of \( \boldsymbol{C a} \boldsymbol{F}_{2} \) is \( \mathbf{1 . 7} \times \mathbf{1 0}^{-\mathbf{1 0}} \)
how many grams of it can be dissolved in:
a) \( 0.1 M N a F \)
b) \( 0.1 M C a C l_{2} \)
Subject: Biology
Read a to d and tell the correct order of
components from outer side to inner
side in a woody dicot stem
(a) Secondary cortex
(b) Wood
(c) Secondary phloem
(d) Phellem.
A \( \cdot(\mathrm{c}),(\mathrm{d}),(\mathrm{b}), \) (a)
B. \( (a),(b),(d),(c) \)
\( D \cdot(d),(c),(a),(b) \)
Subject: Chemistry
According to the first law of
thermodynamics, \( \Delta U=q+w . \) In
special cases the statement can be
expressed in different ways. Which of
the following is not a correct
expression?
A. At constant temperature: \( q=-w \)
B. When no work is done: \( \Delta U=q \)
C. In gaseous system: \( \Delta U=q+P \Delta V \)
D. When work is done by the system: \( \Delta U=q+w \)
Subject: Maths
For three events \( A, B \) and \( C, P \) (exactly one of the events \( A \text { occur })=P \) (exactly
one of the events \( B \text { and } C \text { occur })=P \) (exactly one of the events \( C \) or \( A \) occurs) \( =\mathrm{p} \) and \( \mathrm{P} \) (all the three events occur
simultaneously) \( =p^{2}, \) where \( 0<p< \)
1/2. If the probability of at least one of
the three events \( A, B \) and \( C \) occurs is
\( 11 / 18, \) the value of \( p \) is
A \( \cdot 1 / 6 \)
в. \( 1 / 4 \)
c. \( 1 / 5 \)
D. \( 1 / 3 \)
Subject: Physics
Two galvanometers \( A \) and \( B \) require
\( 3 m A \) and \( 6 m A \) respectively, to produce the same deflection of 10 divisions.
Then is,
A. \( A \) is more sensitive than \( B \)
B. \( B \) is more sensitive than \( A \)
c. \( A \) and \( B \) are equally sensitive
D. Sensitiveness of \( B \) is twice that of \( A \)
Subject: Chemistry
The temperature dependence of rate
constant \( (k) \) of a chemical reaction is
written in terms of Arrhenius equation,
\( \boldsymbol{k}=\boldsymbol{A} \boldsymbol{e}^{-\boldsymbol{E}_{a} / \boldsymbol{R} \boldsymbol{T}} . \) Activation energy \( \left(\boldsymbol{E}_{\boldsymbol{a}}\right) \)
of the reaction can be calculated by plotting:
\( \mathbf{A} \cdot \log k \) vs \( T \)
B. \( \log k \) vs \( \frac{1}{T} \)
c. \( k \) vs \( T \)
D. \( k \) vs \( \frac{1}{\log T} \)
Subject: Chemistry
An ideal gas is subjected to a cyclic process involving four thermodynamic states; the amounts of heat (Q) and work (W) involved in each of these
states are \( Q_{1}=6000 J, Q_{2}= \)
\( \mathbf{5 5 0 0} \boldsymbol{J}, \boldsymbol{Q}_{3}=-\mathbf{3 0 0 0} \boldsymbol{J}, \boldsymbol{Q}_{4}= \)
\( \mathbf{3 5 0 0} \boldsymbol{J} \boldsymbol{W}_{\mathbf{1}}=\mathbf{2 5 0 0} \boldsymbol{J}, \boldsymbol{W}_{\mathbf{2}}= \)
\( -\mathbf{1 0 0 0} \boldsymbol{J}, \boldsymbol{W}_{3}=-\mathbf{1 2 0 0} \boldsymbol{J}, \boldsymbol{W}_{4}=\boldsymbol{x} \boldsymbol{J} . \) The
ratio of the net work done by the gas to
the total heat absorbed by the gas in ' \( \eta \) '.
The values of \( x \) and \( \eta \) respectively are:
\( \mathbf{A} \cdot 500,7.5 \% \)
в. \( 1000,10.5 \% \)
c. \( 1000,21 \% \)
D. \( 1500,15 \% \)
Subject: Physics
The displacement from the position of
equilibrium of a point \( 4 \mathrm{cm} \) from a source of sinusoidal oscillations is half
the amplitude at the moment \( t=\frac{T}{6}(T \) is the time period). Assume that the
source was at mean position at \( t=0 \)
The wavelength of the running wave is
A \( .0 .96 m \)
B. \( 0.48 m \)
c. \( 0.24 \mathrm{m} \)
D. \( 0.12 \mathrm{m} \)
Subject: Physics
Two conducting spheres of radii \( r_{1} \) and
\( r_{2} \) are equally charged. The ratio of their
potentials is :
A \( \cdot r_{1} / r_{2} \)
в. \( r_{2} / r_{1} \)
\( \mathbf{c} \cdot r_{1}^{2} / r_{2}^{2} \)
\( \mathbf{D} \cdot r_{2}^{2} / r_{1}^{2} \)
Subject: Physics
Q Type your question
z. Here z is the vertical distance inside
the slab, measured from the top. The slab is placed between two media with
uniform refractive indices \( n_{1} \) and \( n_{2} \)
\( \left(>n_{1}\right), \) as shown in the figure. A ray of
light incident with angle \( \boldsymbol{\theta}_{\boldsymbol{i}} \) from
medium 1 and emerges in medium 2
with refraction angle \( \theta_{f} \) with lateral
displacement \( l \) Which of the following statement(s) is (are) true?
This question has multiple correct options
A. \( l \) is dependent on \( n(z) \)
B \( \cdot n_{1} \sin \theta_{1}=\left(n_{2}-n_{1}\right) \sin \theta_{f} \)
\( \mathbf{c} \cdot n_{1} \sin \theta_{i}=n_{2} \sin \theta_{f} \)
dependent of \( n \)
Subject: Physics
An oil drop of radius r carrying a charge q' remains stationary in the presence of electric field of intensity E. If the density of oil is \( \rho, \) then
\( ^{\mathbf{A}} \cdot E=\frac{4}{3} \pi r^{3} \rho g q \)
B. \( \quad E=\frac{4}{3} \pi r^{3} \rho g \)
c. \( _{E}=\frac{4}{3} \pi r^{3} \rho g / q \)
D. \( E=\frac{4}{3} \pi r^{3} \rho / g^{3} \)
Subject: Physics
The maximum speed of a body vibrating
under S.H.M. with time period of \( \pi / 4 \) s
amplitude \( 7 \mathrm{cm} \) is
\( A \cdot 488 \mathrm{cm} / \mathrm{s} \)
B. \( 56 \mathrm{cm} / \mathrm{s} \)
c. \( 38.5 \mathrm{cm} / \mathrm{s} \)
D. \( 5.5 \mathrm{cm} / \mathrm{s} \)
Subject: Physics
Two bodies of different masses are
dropped from height of \( 16 m \) and \( 25 m \) respectively. The ratio ofthe times taken by them is
A \( \cdot \frac{25}{16} \)
в. \( \frac{16}{21} \)
\( c \cdot \frac{5}{4} \)
D. \( \frac{4}{5} \)
Subject: Maths
If \( A \) is a square matrix so that
\( A a d j A=\operatorname{diag}(k, k, k) \) then \( |a d j A|= \)
\( A \cdot k \)
B . \( k^{2} \)
c. \( k^{3} \)
\( \mathbf{D} \cdot k^{4} \)
Subject: Biology
Decreasing order concentration of
minerals inside cell is
A \( \cdot \mathrm{ca}^{+2}-\mathrm{K}^{+}-\mathrm{Na}^{+} \)
B. \( k^{+}-C a^{+2}-N a^{+} \)
c. \( \kappa^{+}-N a^{+}-C a^{+} \)
D. \( \mathrm{Na}^{+}-\mathrm{K}^{+}-\mathrm{Ca}^{+2} \)
Subject: Maths
If \( f(x)=a x^{2}+b x+c \) satisfies the
identity \( f(x+1)-f(x)=8 x+3 \) for
all \( x \in R . \) Then \( (a, b)= \)
A. (2,1)
(i)
в. (4,-1)
c. (-1,4)
D. (-1,1)
Subject: Physics
A parallel plate capacitor, at a capacity \( 100 \mu F \), is charged by a battery at \( 50 \mathrm{V} \)
The battery remains connected and if the plates of the capacitor are separated so that the distance between them is
reduced to half of the original distance, the additional energy given by the battery to the capacitor in \( J \) is:
A \( \cdot 125 \times 10^{-3} \)
В. \( 12.5 \times 10^{-3} \)
с. \( 1.25 \times 10^{-3} \)
.
D. \( 0.125 \times 10^{-3} \)
Subject: Physics
The moment o inertia of a circular disc
of radius \( 2 m \) and mass \( 1 k g \) about an
axis passing through the center of
mass but perpendicular to the plane of
the disc is \( 2 k g-m^{2} . \) Its moment of
inertia about an axis parallel to this
axis but passing through the edge of
the disc is (see the given figure.)
\( \mathbf{A} \cdot 8 k g-m^{2} \)
\( \mathbf{B} \cdot 4 k g-m^{2} \)
\( \mathbf{c} \cdot 10 k g-m^{2} \)
\( \mathbf{D} \cdot 6 k g-m^{2} \)
Subject: Physics
A metal cube of side length \( 8.0 \mathrm{cm} \) has its upper surface displaced with
respect to the bottom by \( 0.10 m m \) when
a tangential force of \( 4 \times 10^{9} \mathrm{N} \) is applied
at the top with bottom surface fixed. The rigidity modulus of the material of the cube is :
A \( \cdot 4 \times 10^{9} N / m^{2} \)
B. \( 5 \times 10^{14} N / m^{2} \)
c. \( 8 \times 10^{9} N / m^{2} \)
D. \( 1 \times 10^{9} N / m^{2} \)
Subject: Physics
A block of mass \( \mathrm{m} \) is in contact with the
cart as shown in figure
The coefficient of static friction
between the block and the cart is. The
acceleration of the cart that will prevent
the block from falling satisfies
A \( \cdot \alpha>\frac{m g}{\mu} \)
B . \( \alpha>\frac{g}{\mu m} \)
c. \( \alpha \geq \frac{g}{\mu} \)
D. \( \alpha<\frac{g}{\mu} \)
Subject: Chemistry
In volcanic eruptions, Sulphur undergoes following reaction:
\( \mathbf{2} \boldsymbol{H}_{2} \boldsymbol{S}(\boldsymbol{g})+\boldsymbol{S} \boldsymbol{O}_{2}(\boldsymbol{g}) \rightarrow \boldsymbol{3} \boldsymbol{S}(\boldsymbol{s})+\mathbf{2} \boldsymbol{H}_{2} \boldsymbol{O} \)
A. Disproportionation
B. Comproportionation
c. Neutralisation
D. Displacement
Subject: Physics
If \( E_{P} \) and \( E_{k} \) represent potential energy and kinetic energy respectively, of an orbital electron, then according to
Bohr's theory:
A \( . E_{k}=-E_{p} / 2 \)
B. \( E_{k}=-E_{p} \)
c. \( E_{k}=-2 E_{p} \)
D. \( E_{k}=2 E_{p} \)
Subject: Chemistry
Assertion
The Daniell cell becomes dead after
sometimes.
Reason
The oxidation potential of Zn anode decreases and that of Cu increases.
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 charge of \( 10^{-9} C \) moves from \( X \) to \( Z \)
Find the work done by the electric field due to the charge \( Q=2 C \) in moving the
charge from \( X \) to \( Z \). The value of
coulomb's constant is \( 9 \times 10^{9} N m^{2} C^{-2} \)
A . \( 0 . J \)
В. \( 150 J \)
\( c .300 J \)
D. \( 560 J \)
E. \( 1,000 J \)
Subject: Chemistry
Heat of combustion of \( C_{2} H_{4} \) is
\( -337 K \) Cal. If 5.6 lit \( O_{2} \) is used at STP,
in the combustion heat liberated is
K.Cal.
\( \mathbf{A} \cdot 28.08 \)
B. 14.04
c. 42.06
D. 56.16
Subject: Chemistry
In the reaction, \( \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{I}_{2}(\boldsymbol{g}) \rightleftharpoons \)
\( 2 H I(g) \) the concentration of \( H_{2}, I_{2} \) and
\( H I \) at equilibrium are 8.0,3.0 and 28 moles per litre respectively. What will be the equilibrium constant?
\( A \cdot 30.61 \)
B. 32.66
c. 29.40
D. 20.90
Subject: Physics
Two simple harmonic motions are
represented by the equations. \( \boldsymbol{y}_{1}=\mathbf{1 0} \sin \frac{\boldsymbol{\pi}}{\boldsymbol{4}}(1 \mathbf{2} \boldsymbol{t}+\mathbf{1}), \boldsymbol{y}_{2}= \)
\( \mathbf{5}(((\sin 3 p t+\sqrt{3} \cos 3 p t) \)
The ratio of their amplitudes is
A . 1: 1
B. 1: 2
c. 3: 2
D. 2: 3
Subject: Maths
Let \( \sin \alpha, \) cos \( \alpha \) be the roots of the
equation \( x^{2}-b x+c=0 . \) Then which of
the following statements is / are correct?

This question has multiple correct options
A \( \cdot c \leq \frac{1}{2} \)
в. \( b \leq \sqrt{2} \)
c. \( c>\frac{1}{2} \)
D. \( b>\sqrt{2} \)
Subject: Biology
Assertion
The two cotyledons in seed are
embryonic leaves.
Reason
The embryo contains radicle and
plumule.
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 hydride ion, \( H^{-} \) is a stronger base
than its hydroxide ion \( O H^{-} . \) Which of the following reactions will occur, if sodium hydride \( (N a H) \) is dissolved in
water?
\( \mathbf{A} \cdot H_{(a q)}^{-}+H_{2} O \rightarrow H_{3} O \)
B. \( H_{(a q)}^{-}+H_{2} O_{(l)} \rightarrow O H^{-}+H_{2} \)
\( \mathbf{c} \cdot H^{-}+H_{2} O_{(l)} \rightarrow \) no reaction
D. None of the above
Subject: Chemistry
Assertion: Penicillin
\( (G) \) is an
antihistamine.
Reason: Penicillin (G) is effective
against gram-positive bacteria.
Read the above assertion and reason
and choose the correct option regarding
¡t.
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. Both Assertion and Reason are incorrect
D. Assertion is correct but Reason is incorrect
E. Assertion is incorrect but Reason is correct
Subject: Physics
Three-point charges \( 1 \mathrm{C}, 2 \mathrm{C} \), and \( 3 \mathrm{C} \) are
placed at the corners of an equilateral
triangle Of side \( 1 \mathrm{m} \). The work required to
move these charges to the corners of a
smaller equilateral triangle Of side \( 0.5 \mathrm{m} \)
in two different ways as in fig.(A) and
(B)Calculate the work done
A \( \cdot 9 \times 10^{9} \)
B \( .99 \times 10^{9} \)
\( \mathbf{c} \cdot 89 \times 10^{9} \)
D \( .29 \times 10^{9} \)
Subject: Physics
The potential energy of a particle of
mass \( m \) is given by \( V(x)= \) \( \left\{\begin{array}{cc}\boldsymbol{E}_{0} \mathbf{0} & \leq \boldsymbol{x} \leq \mathbf{1} \\ \mathbf{0} & \boldsymbol{x}>\mathbf{1}\end{array}\right\} \)
\( \lambda_{1} \) and \( \lambda_{2} \) are the de-Broglie
wavelengths of the particle, when \( 0 \leq \)
\( x \leq 1 \) and \( x>1 \) respectively.

If the total energy of particle is \( 2 E_{0} \)
find \( \left(\lambda_{1} / \lambda_{2}\right) \)
Subject: Chemistry
When a non volatile solute is added to a
pure solvent, the:
A. vapour pressure of the solution becomes lower then that of the pure solvent
B. rate of evaporation of the pure solvent is reduced
C. solute does not effect the rate of condensation
D. rate of the evaporation of the solution is equal to the rate of condensation of the solution at a lower vapour pressure than that in the case of the pure solvent