AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
Q Type your question.
figure. The ring has a narrow gap f width
\( \delta \) in its circumference. The cross-
sectional area of the solenoid is \( a \). The
solenoid has a uniform internal field of
magnitude \( B(t)=B_{0}+\beta t, \) where \( \beta> \)
0. Assume that no charge can flow
across the gap, the face(s) accumulating an excess of positive
charge is/are
\( \mathbf{A} \cdot F_{1} \)
B . \( F_{2} \)
c. \( F_{1} \) and \( F_{2} \)
D. difficult to conclude as data given are insufficient
E. answer requirec
Subject: Maths
f \( 0 \leq x \leq 1, \) then \( \tan \left\{\frac{1}{2} \sin ^{-1} \frac{2 x}{1+x^{2}}+\frac{1}{2} \cos ^{-1} \frac{2 x}{1+x^{2}}\right\} \)
\( A \)
B.
c. \( \frac{2 x}{1+x^{2}} \)
\( D \)
Subject: Maths
The AM of two given positive number is
3. If the larger number is increased by 1 the GM of a numbers becomes equal to
AM of the given numbers. Then the HM of the given numbers is
A \( \cdot \frac{3}{2} \)
B. \( \frac{2}{3} \)
\( c \cdot \frac{1}{2} \)
D. None of these
Subject: Physics
Consider the barometer shown in figure.
Density of mercury is \( \rho . \) A small hole is
made at point \( S \) as shown. The
mercury comes out from this hole with
speed \( \boldsymbol{v} \) equal to :
A \( \cdot \sqrt{2 g h} \)
B. \( \sqrt{2 g H} \)
c. \( \sqrt{2 g(H-h)} \)
D. None of these
Subject: Physics
The speed of the block when it reaches
the point \( Q \) is
\( \mathbf{A} \cdot 5 m s^{-1} \)
B. \( 10 m s^{-1} \)
c. \( 10 \sqrt{3} \mathrm{ms}^{-1} \)
D. \( 20 \mathrm{ms}^{-1} \)
Subject: Chemistry
For the reaction equilibrium, \( 2 N O B r(g) \leftrightharpoons 2 N O(g)+B r_{2}(g) \)
If \( P_{B_{1}}=\frac{P}{9} \) at equilibrium and \( P \) is total
pressure, the ratio of \( \frac{K_{P}}{P} \) is equal to:
A \( \cdot \frac{1}{9} \)
в. \( \frac{1}{81} \)
c. \( \frac{1}{27} \)
D.
Subject: Physics
A home-owner pushes a lawn mower
across a horizontal patch of grass with
a constant speed by applying a force \( P \)
The arrows in the diagram correctly
indicate the directions but not
necessarily the magnitudes of the
various forces on the lawn mower.
Which of the following relations among
the various force magnitudes, \( \mathbf{W}, \mathbf{f}, \mathbf{N}, \mathbf{P} \)
is correct?
\( A \cdot P>f \) and \( N>W \)
B. \( P<f \) and \( N=W \)
C. \( P>f \) and \( N<W \)
\( D \cdot P=f \) and \( N>W \)
Subject: Physics
Five identical conducting plates 1, 2, 3, 4 and 5 are fixed parallel to and equidistant from each other (see figure). Plates \( 2 \& 5 \) are connected by a conductor while \( 1 \& 3 \) are joined by another conductor. The junction of \( 1 \& 3 \)
and the plate 4 are connected to a
source of constant e.m.f. \( V_{0} . \) Find:
(i) The effective capacity of the system between the terminals of the source.
(ii) the charges on plates \( 3 \& 5 \)
Given \( \boldsymbol{d}= \) distance between any
successive plates \( \& \boldsymbol{A}= \) area of either face of each plate
Subject: Physics
In a Wheatstone bridge, three resistances \( P, Q \) and \( R \) are connected in the three arms and the fourth arm is
formed by two resistances \( S_{1} \) and \( S_{2} \) connected in parallel. The condition for the bridge to be balanced will be
A \( \cdot \frac{P}{Q}=\frac{R\left(S_{1}+S_{2}\right)}{2 S_{1} S_{2}} \)
в. \( \frac{P}{Q}=\frac{R}{S_{1}+S_{2}} \)
c. \( \frac{P}{Q}=\frac{2 R}{S_{1}+S_{2}} \)
D. \( \frac{P}{Q}=\frac{R\left(S_{1}+S_{2}\right)}{S_{1} S_{2}} \)
Subject: Physics
A wheel of radius r rolling on a straight line, the velocity of its centre being v. At a certain instant the point of contact of the wheel with the grounds is \( \mathrm{M} \) and \( \mathrm{N} \) is the highest point on the wheel(diametrically opposite to M). The incorrect statements is?
A. The velocity of any point P of the wheel is proportional to MP
B. Points of the wheel moving with velocity greater than form a larger area of the wheel than points moving with velocity less than v
C. The point of contact M is instantaneously at rest
D. The velocities of any two parts of the wheel which are equidistant from centre are equal
Subject: Physics
The dimensional formula for Magnetic
induction is :
\( \mathbf{A} \cdot M T^{-1} A^{-1} \)
B. \( M T^{-2} A^{-1} \)
\( \mathrm{c} \cdot M L A^{-1} \)
D. \( M T^{-2} A \)
Subject: Maths
The curved surface area of a
hemisphere is \( 77 \mathrm{cm}^{2} \). The radius of the
hemisphere is :
\( \mathbf{A} \cdot 3.5 \mathrm{cm} \)
в. \( 7 \mathrm{cm} \)
c. \( 10.5 \mathrm{cm} \)
D. \( 11 \mathrm{cm} \)
Subject: Chemistry
Statement 1: Ethane is considered to be
a saturated hydrocarban. Statement 2: Ethene has a triple bond.
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
An object \( 4.0 \mathrm{cm} \) in size, is placed 25.0 \( \mathrm{cm} \) in front of a concave mirror of focal
length \( 15.0 \mathrm{cm} \)
(i) At what distance from the mirror
should a screen be placed in order to obtain a sharp image?
(ii) Find the size of the image.
(iii) Draw a ray diagram to show the formation of image in this case.
Subject: Chemistry
One mole of a mixture of \( C O \) and \( C O_{2} \) requires exactly 20 g of \( N a O H \) in solution for complete conversion of all
the \( C O_{2} \) into \( N a_{2} C O_{3} \). If the mixture (one mole) is completely
oxidised to \( C O_{2} \), then weight of \( N a O H \)
to be used is:
A \( .60 \mathrm{g} \)
в. \( 80 \mathrm{g} \)
c. \( 40 \mathrm{g} \)
D. 20 g
Subject: Biology
What shows the sequence of organs through which urea passes as it travels from where it is produced to where it is removed from the blood?
A. Kidneys \( \rightarrow \) Heart \( \rightarrow \) Lungs \( \rightarrow \) Heart \( \rightarrow \) Liver
B. Kidneys \( \rightarrow \) Heart \( \rightarrow \) Liver \( \rightarrow \) Lungs \( \rightarrow \) Heart
c. Liver \( \rightarrow \) Heart \( \rightarrow \) Lungs \( \rightarrow \) Heart \( \rightarrow \) Kidneys
D. Liver \( \rightarrow \) Lungs \( \rightarrow \) Heart \( \rightarrow \) Kidneys \( \rightarrow \) Heart
Subject: Chemistry
Ground state electronic configuration of nitrogen atom can be represented by :
This question has multiple correct options
\( A \)
\( \uparrow \downarrow \)
в. \( \uparrow \downarrow \)
\( c \)
\( \uparrow \downarrow \) \( \uparrow \quad \downarrow \quad \downarrow \)
D. \( \uparrow \downarrow \) \( \downarrow \downarrow \downarrow \downarrow \downarrow \)
Subject: Physics
For the system shown in the figure, the cylinder on the left at L has a mass of
\( 600 \mathrm{kg} \) and a cross sectional area of
\( 800 c m^{2}, \) the piston on the right, at \( S \)
has cross sectional area \( 25 c m^{2} \) and
negligible weight. If the appartus is
filled with oil. \( \left(\rho=0.75 g m / c m^{3}\right) \) Find
the force \( F \) requird to hold the system in equilibrium.
A . 50 N
В. 33 n
D. 22.5
Subject: Physics
The angle of incidence at which reflected light is totally polarised for reflection from air to glass (refractive index \( n \) ) is
A \( \cdot \sin ^{-1}(n) \)
B. \( \sin ^{-1}\left(\frac{1}{n}\right) \)
\( ^{\mathbf{c}} \cdot \tan ^{-1}\left(\frac{1}{n}\right) \)
\( \mathbf{D} \cdot \tan ^{-1}(n) \)
Subject: Chemistry
The standard reduction potential for the
half-cell reaction, \( C l_{2}+2 e^{-} \rightarrow 2 C l^{-} \)
will be:
\( \boldsymbol{P t}^{2+}+\boldsymbol{2} \boldsymbol{C l}^{-} \rightarrow \boldsymbol{P t}+\boldsymbol{C l}_{2}, \boldsymbol{E}_{c e l l}^{o}= \)
\( -0.15 V \)
\( \boldsymbol{P t}^{2+}+\boldsymbol{2} \boldsymbol{e}^{-} \rightarrow \boldsymbol{P t}, \boldsymbol{E}^{o}=\mathbf{1 . 2 0} \mathbf{v} \)
A . \( -1.35 v \)
B. \( +1.35 v \)
c. \( -1.05 v \)
D. \( +1.05 v \)
Subject: Physics
An isolated parallel plate capacitor is charged upto a certain potential difference. When a \( 3 m m \) thick slab is
introduced between the plates then in order to maintain the same potential difference, the distance between the
plates is increased by \( 2.4 m m \). Find the dielectric constant of the slab. (Assume
charge remains constant)
A. 5
в. 10
\( c \cdot 2.5 \)
D. 7.5
Subject: Physics
A ray of light is incident on the interface
between water and glass at an angle
and refracted parallel to the water
surface, then value of \( \mu_{g}, \) refractive
index of glass will be:
A \( \cdot(4 / 3) \sin i \)
B. \( \frac{1}{\sin i} \)
\( c \cdot \frac{4}{3} \)
\( D \)
Subject: Chemistry
If \( 0.765 g \) of an organic compound on combustion gives \( 0.535 \mathrm{g} C O_{2} \) and \( 0.138 g \) of \( H_{2} O, \) then the ratio of the
percentage of carbon and hydrogen is:
A \( \cdot 19: 2 \)
B. 18: 11
c. 20: 17
D. 1:7
Subject: Chemistry
In electrolyte concentration cell:
This question has multiple correct options
A. the electrode material and the solution in both halfcells are composed of the same substances
B. only the concentrations of solutions of the same substances is different
\( \mathbf{c} \cdot E_{c e l l}^{\circ}=0 \)
D. the Nernst equation reduces to \( E_{\text {cell}}= \) \( -\left(\frac{0.0591}{n}\right) \log Q \) at \( 25^{\circ} \mathrm{C} \)
Subject: Chemistry
Which statement below is
incorrect regarding balanced
equations?
A. \( C+O_{2} \rightarrow C O_{2} \) is balanced and is a synthesis reaction
B. \( C a C O_{3} \rightarrow C a O+C O_{2} \) is balanced and is a
decomposition reaction
C \( . N a+C l_{2} \rightarrow N a C l \) is not balanced but demonstrates a
synthesis reaction
D. \( K I+P b\left(N O_{3}\right)_{2} \rightarrow P b I_{2}+K N O_{3} \) is balanced and is a
single replacement reaction
E \( \cdot 2 H_{2} O \rightarrow 2 H_{2}+O_{2} \) is balanced and demonstrates a
redox reaction
Subject: Physics
Consider the following two statements A and B and identify the correct option:
A) When a rigid body is rotating about its own axis at a given instant, all particles of body possess same angular velocity
B) When a rigid body is rotating about its own axis, the linear velocity of a particle is directly proportional to its perpendicular distance from axis.
A . A is true but B is false
B. A is false but B is true
c. Both A and B are true
D. Both A and B are false
Subject: Maths
\( \operatorname{Let} F(x)=f(x) g(x) h(x) \) for all real \( x \)
where \( \boldsymbol{f}(\boldsymbol{x}), \boldsymbol{g}(\boldsymbol{x}), \boldsymbol{h}(\boldsymbol{x}) \) are
differentiable functions. At some point \( \boldsymbol{x}_{0}, \) if \( \boldsymbol{F}^{\prime}\left(\boldsymbol{x}_{0}\right)=\mathbf{2 1} \boldsymbol{F}\left(\boldsymbol{x}_{0}\right), \boldsymbol{f}^{\prime}\left(\boldsymbol{x}_{0}\right)= \)
\( 4 f\left(x_{0}\right), g^{\prime}\left(x_{0}\right)=-7 g\left(x_{0}\right) \) and
\( h^{\prime}\left(x_{0}\right)=\lambda h\left(x_{0}\right), \) then \( \lambda= \)
A . 12
B. -12
\( c \cdot 24 \)
D. -24
Subject: Physics
A proton of charge \( e \) and mass \( m_{p} \)
moves in a circular path of radius \( r \) in a
uniform magnetic field \( \boldsymbol{B} \)
The momentum of the proton can be
described by the expression:
\( \mathbf{A} \cdot e B r \)
B. \( 2 e B r \)
\( c \cdot e B r^{2} \)
D. \( e B r m_{p} \)
E \( \cdot 2 e B r m_{p} \)
Subject: Maths
If \( \boldsymbol{x}, \boldsymbol{y}, \boldsymbol{z} \) are in A.P. and A.M. of \( \boldsymbol{x} \) and \( \boldsymbol{y} \) is
a and that to \( y \) and \( z \) is \( b \), then \( A . M \). of \( a \)
and \( b \) is.
\( A \cdot x \)
B. \( y \)
\( c \cdot z \)
D. \( \frac{1}{2(x+y)} \)
Subject: Maths
A conical flask is full of water. The flask
has base radius \( a \) and height \( 2 a \). The water is poured into a cylindrical flask of base-radius \( \frac{2 a}{3} . \) Find the height of water in the cylindrical flask.
A \( \cdot \frac{5}{2} a \)
B. \( 2 a \)
c. \( \frac{3}{2} a \)
D. 1a
Subject: Physics
A second lens is now placed adjacent to
the first in contact with it. The new lens
is concave, with focal length \( \boldsymbol{f}=-\mathbf{3} \boldsymbol{f} \)
What is the focal length \( f_{t o t} \) of the two
lens system? Treat the lenses as thin
A \( \cdot f_{\text {tot }}=f / 2 \)
B. \( f_{\text {tot}}=2 f / 3 \)
\( c \cdot f_{t o t}=f \)
D. \( f_{\text {tot}}=3 f / 2 \)
Subject: Chemistry
Find the freezing point of a solution containing 0.5 mole of glucose dissolved in 200 g of \( H_{2} \) O? (Given that \( \boldsymbol{K}_{f} \) for water is \( 1.86 \quad \boldsymbol{K} \boldsymbol{m}^{-1} \)
A . -4.65
B . -2.65
c. -14.65
D. -8.65
Subject: Chemistry
The reaction of Xe with an excess of \( \mathbf{F}_{2} \)
at high pressure and 573 K yields:
A. \( \mathrm{XeF}_{2} \)
в. \( \mathrm{xeF}_{4} \)
c. \( \mathrm{xeF}_{6} \)
D. XeF \( _{3} \)
Subject: Maths
For two events \( \boldsymbol{A} \) and \( \boldsymbol{B} \) if \( \boldsymbol{P}(\boldsymbol{A})= \)
\( P\left(\frac{A}{B}\right)=\frac{1}{4} \) and \( P\left(\frac{B}{A}\right)=\frac{1}{2}, \) then
A. \( A \) is subevent of \( B \)
B. \( A \) and \( B \) are mutually exclusive
\( ^{\mathrm{c}},_{A} \) and \( B \) independent and \( P\left(\frac{A^{\prime}}{B}\right)=\frac{3}{4} \)
D. None of these
Subject: Physics
Assertion
The rotation of earth on its axis is an
example of gyroscopic precession
Reason

The axis of the earth is tilted and its
mass is huge.
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
Assertion
In Rutherford's gold foil experiment very
few \( \boldsymbol{\alpha} \) - particles are deflected back.
Reason

Nucleus present inside the atom is heavy.
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 magnetic needle free to rotate in a vertical plane parallel to the magnetic meridian has its North tip pointing down at \( 22^{0} \) with the horizontal. the
horizontal component of the earth's magnetic field at the place is known to be 0.35 G.The magnitude of the earth's magnetic field at the place will be:-
A . 0.68 G
B. 0.36 G
\( c \cdot 0.83 G \)
D. 0.86 G
Subject: Physics
A particle undergoes SHM with a time period of 2 seconds. In how much time will it travel from its mean position to a displacement equal to half of its
amplitude?
A \( \cdot(1 / 2) s \)
в. \( (1 / 3) s \)
c. \( (1 / 4) s \)
D. \( (1 / 6) s \)
Subject: Physics
The belt of an electrostatic generator is \( 50 \mathrm{cm} \) wide and travels at \( 30 \mathrm{cm} / \mathrm{sec} \)
The belt carries into the sphere at a rate
corresponding to \( 10^{-4} \) ampere. What is the surface density of charge on the belt.
A \( \cdot 6.7 \times 10^{-5} \mathrm{Am}^{-2} \)
В. \( 6.7 \times 10^{-4} \mathrm{Am}^{-2} \)
c. \( 6.7 \times 10^{-7} \mathrm{Am}^{-2} \)
D. \( 6.7 \times 10^{-8} \mathrm{Am}^{-2} \)
Subject: Maths
The distance of point \( A(-2,3,1) \) from
the PQ through \( P(-3,5,2), \) which makes equal angles with the axes is-
A \( \cdot \frac{2}{\sqrt{3}} \)
в. \( \sqrt{\frac{14}{3}} \)
c. \( \frac{16}{\sqrt{3}} \)
D. \( \frac{5}{\sqrt{3}} \)
Subject: Physics
A magnetic flux of \( 500 \mu W b \)
passing through a 200 turns coil is
reversed in \( 20 \times 10^{-3} \) seconds. The
average emf per unit area induced in
the coil in \( V / m^{2} \) is
A . 2.5
B. 5.0
\( c .7 .5 \)
D. 10.0
Subject: Physics
Which of the following doesnt represent
Maxwells equation?
\( \mathbf{A} \cdot \oint \vec{E} \cdot d \vec{A}=\frac{q}{\varepsilon_{0}} \)
B \( \cdot \oint \vec{B} \cdot d \vec{A}=0 \)
c. \( \oint \vec{E} \cdot \bar{d} l=\frac{-d B}{d t} \)
D \( \cdot \oint \vec{B} \cdot \bar{d} l=\mu_{0} I_{C}+\mu_{0} \varepsilon_{0} \frac{d \phi_{E}}{d t} \)
Subject: Chemistry
Observation Time (in \( \quad \boldsymbol{P}_{\boldsymbol{x}} \) (in \( \mathrm{mm} \)
minute) \( \quad \) of \( \mathrm{Hg} \)
800
00 to
At constant temperature and volume \( \boldsymbol{X} \)
\[
\text { decomposes as } 2 \mathrm{X}(\mathrm{g}) \rightarrow 3 \mathrm{Y}(\mathrm{g})+
\]
\( 2 \mathrm{Z}(\mathrm{g}), \) where \( \mathrm{P}_{x} \) is the partial pressure
of \( X . \) What is the order of reaction with
respect to \( X ? \)
(i) Find the rate constant.
(ii) Find the time for \( 75 \% \) completion of the reaction.
(iii) Find total pressure when pressure
of \( X \) is \( 700 \mathrm{mm} \) of Hg.
Subject: Chemistry
Decrease in the pressure for the
following equilibrium: \( \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{s}) \rightleftharpoons \)
\( \boldsymbol{H}_{2} \boldsymbol{O}(l) \) result in the:
A . formation of more \( H_{2} O(s) \)
B. formation of more \( H_{2} O(l) \)
C . increase in melting point of \( H_{2} O(s) \)
D. decrease in melting point of \( H_{2} O(s) \)
Subject: Chemistry
Which one of the following represents a d-block element?
\( \mathbf{A} \cdot[R n] 6 d^{10} 7 s^{2} 7 p^{2} \)
B \( \cdot[X e] 4 f^{1} 5 d^{1} 6 s^{2} \)
\( \mathbf{c} \cdot[X e] 4 f^{14} 5 d^{1} 6 s^{2} \)
D \( \cdot[X e] 5 d^{1} 6 s^{2} \)
Subject: Physics
If the resistivity of an alloy is \( \rho^{\prime} \) and that
of constituent metal is \( \rho \) then :
A \( \cdot \rho^{\prime}>\rho \)
B . \( \rho^{\prime}<\rho \)
C \( \cdot \rho^{\prime}=\rho \)
D. there is no simple reaction between \( \rho^{\prime} \& \rho \)
Subject: Maths
\( \mathbf{f} \boldsymbol{A}=\left[\begin{array}{ccc}\mathbf{1} & \mathbf{0} & \mathbf{0} \\ \mathbf{0} & \mathbf{1} & \mathbf{1} \\ \mathbf{0} & -\mathbf{2} & \mathbf{4}\end{array}\right], \boldsymbol{I}=\left[\begin{array}{ccc}\mathbf{1} & \mathbf{0} & \mathbf{0} \\ \mathbf{0} & \mathbf{1} & \mathbf{0} \\ \mathbf{0} & \mathbf{0} & \mathbf{1}\end{array}\right] \)
and
\( \boldsymbol{A}^{-1}=\frac{1}{\boldsymbol{6}}\left(\boldsymbol{A}^{2}+\boldsymbol{\alpha} \boldsymbol{A}+\boldsymbol{\beta} \boldsymbol{I}\right), \) find \( \boldsymbol{\beta} / \mathbf{1 1} \)
Subject: Physics
A diver stands at the top of a platform
that is 15 meters high.After diving, she challenges herself from a cliff that is 30
meters high.since she is twice as far
from the surface of the earth when she
is on the cliff as compared with the diving board, how does her weight on the cliff compare with her weight on the
diving board?
A. Her weight on the cliff is half as much
B. Her weight on the cliff is one-fourth as much
C. Her weight on the cliff is about the same
D. Her weight on the cliff is twice as much
E. Her weight on the cliff is four times as much
Subject: Chemistry
Electronic configuration of Gd(64) is
written as: \( [\boldsymbol{X} \boldsymbol{e}]_{54} \boldsymbol{4} \boldsymbol{f}^{x} \boldsymbol{5} \boldsymbol{d}^{1} \boldsymbol{6} \boldsymbol{s}^{2}, \) then
the value of \( x \) is \( 7 . \) If true enter 1 , else
enter 0
Subject: Biology
Q Type your question_
parts have been indicated by alphabets.
Choose the answer in which these
alphabets have been correctly matched
with the parts, which they represent.
A. \( A \) - Kidney, \( B \) - Abdominal aorta, \( C \) - Ureters, \( D \) Urinary bladder, E - Urethra, F - Renal pelvis
B. A - Kidney, B - Abdominal aorta, C - Urethra, D Urinary bladder, E - Renal pelvis, F - Urethra
C. A - Kidney, B - Renal pelvis, C - Urethra, D - Urinary bladder, E - Ureters, F - Abdominal aorta
D. A - Kidney, B - Abdominal aorta, C - Urethra, D Urinary bladder, E - Renal pelvis, F - Ureters
Subject: Chemistry
An ideal gas, of volume \( 189 m L \), is collected over water. The temperature is
\( 27^{\circ} \mathrm{C}, \) and the barometric pressure is
\( 756 m m H g . A t 27^{\circ} C, \) the vapor
pressure of water is 27 mm \( H g \)
Which of the following CORRECTLY gives the mole fraction of water vapor in the
collection vessel?
A \( \cdot \frac{27}{756} \)
в. \( \frac{27}{729} \)
c. \( \frac{729}{756} \)
D. \( \frac{729}{27} \)
Subject: Chemistry
Assertion
Statement -I: NaCl when exposed in air
it becomes wet.
Reason
Statement -II: NaCl contains
hygroscopic impurities like \( C a C l_{2} \)
\( M g C l_{2} \) etc.
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
Evaluate \( \mid \begin{array}{ccc}\cos \left(x+x^{2}\right) & \sin \left(x+x^{2}\right) & -\cos (x+1) \\ \sin \left(x-x^{2}\right) & \cos \left(x-x^{2}\right) & \sin (x-x) \\ \sin 2 x & 0 & \sin 2 x^{2}\end{array} \)
A \( \cdot \sin \left(2 x+2 x^{2}\right) \)
B. \( -\sin \left(2 x+2 x^{2}\right) \)
\( c \cdot \cos \left(2 x+2 x^{2}\right) \)
D. \( -\cos \left(2 x+2 x^{2}\right) \)
Subject: Physics
A horizontal force of \( 1 g \) w\( t \). is applied
on a mass of \( 9.8 ~ k g \) placed on a smooth
surface. The acceleration produced is:
\( \mathbf{A} \cdot 1 m s^{-2} \)
B. \( \frac{1}{9.8} m s^{-2} \)
c. \( 9.8 \mathrm{ms}^{-2} \)
D. \( 10^{-3} \mathrm{ms}^{-2} \)
Subject: Physics
Consider the following statements:
(A) Nuclear force is chargeindependent.
(B) Radioactivity which is the spontaneous emission of \( (\boldsymbol{\alpha}, \boldsymbol{\beta}, \boldsymbol{\gamma}) \)
particles is often influenced by chemical or
physical processes.
(C) A free neutron is unstable whereas a
free proton is stable.
(D) Half-life time of \( x \) radioactive
element is fifty percent of its average life period. Which of the above statement/s is/are
correct?
\( A \cdot(A) \) only
B. (A) and (C)
c. \( (A),(C) \) and \( (D) \)
D. (B) and (C)
Subject: Physics
The amplitude of a particle executing SHM is \( 2 \mathrm{cm} \) and its frequency is 50 cycles/s.lts maximum acceleration will be
\( \mathbf{A} \cdot 1972 m s^{-2} \)
B. \( 19.72 m s^{-2} \)
c. \( 1.972 m s^{-2} \)
D. zero
Subject: Maths
If \( f(x)=\frac{e^{x^{2}}-\cos x}{x^{2}}, \) for \( x \neq 0 \) is
continuous at \( \boldsymbol{x}=\mathbf{0}, \) then value of \( \boldsymbol{f}(\mathbf{0}) \)
is
A \( \cdot \frac{2}{3} \)
в. \( \frac{5}{2} \)
\( c \cdot 1 \)
D.
Subject: Maths
Say true or false.
The total savings (in \( R s . \) ) after every
month for 10 months when \( R s .50 \) are
saved each month are
\( \mathbf{5 0 , 1 5 0}, 200,250,300,350,400,450,500 \)
represent G.P.
A . True
B. False
Subject: Chemistry
A closed vessel contains a mixture of
two diatomic gases \( A \) and \( B \). Molar mass \( A \) is 16 times that of \( B \) and mass
of gas \( A \) contained in the vessel is 2
times that of \( B \). The following
statements are given:
A. Average kinetic energy per molecule of \( B \) is equal to that of \( A \)
B. Root mean square value of translation velocity of \( B \) is four times of \( A \)
C. Pressure exerted by \( B \) is eight times of that exerted by \( A \)
D. Number of molecules of \( B \) in the cylinder is eight time that of \( A \)
Subject: Physics
Two conducting rings of radii r and 2 r move in opposite directions with
velocities \( 2 v \) and \( v \) respectively on a
conducting surface \( S \). There is a
uniform magnetic field of magnitude \( B \) perpendicular to the plane of the rings. The potential difference between the highest points of the two rings is
A . zero
в. \( 2 r v B \)
\( \mathbf{c} \cdot 4 r v B \)
D. \( 8 r v B \)
Subject: Chemistry
At \( 100^{\circ} \mathrm{C} \) and 1 atm, if the density of
liquid water is \( 1.0 g c m^{-3} \) and that of
water vapour is \( 0.0006 g \mathrm{cm}^{-3}, \) then the
volume occupied by water molecules in one litre of steam at that temperature
is :
\( \mathbf{A} \cdot 6 \mathrm{cm}^{3} \)
B. \( 60 \mathrm{cm}^{3} \)
\( \mathrm{c} \cdot 0.6 \mathrm{cm}^{3} \)
D. \( 0.06 \mathrm{cm}^{3} \)
Subject: Chemistry
On the addition of a solution containing \( C r O_{4}^{2-} \) ions to the solution of \( B a^{2+}, S r^{2+}, C a^{2+} \) ions, the precipitate
obtained first will be of:
A. \( C a C r O_{4} \)
B \( . \) SrCrO \( _{4} \)
\( \mathrm{c} \cdot B a C r O_{4} \)
D. A mixture of all the three