AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
In the circle shown \( \boldsymbol{L}=\mathbf{1} \boldsymbol{\mu} \boldsymbol{H}, \boldsymbol{C}=\mathbf{1} \boldsymbol{\mu} \boldsymbol{F} \)
and \( R=1 k \Omega . \) They are connected in
series with a.c. source \( V=V_{0} \sin \omega t \) as
shown.Which of the following option
is/are correct?
This question has multiple correct options
A. The frequency at which the current will be in the phase with the voltage is independent of \( R \)
B. At \( \omega \sim 0 \) the current flowing through the circuitt
becomes nearly zero
C. \( A t \omega>>10^{6} r a d . s^{-1}, \) the circuit behave like a capacitor
D. The current will be in phase with the voltage if \( \omega= \) \( 10^{4} r a d \cdot s^{-1} \)
Subject: Maths
In the given figure (not drawn to scale),
\( A B C D \) is a parallelogram, \( A D F \) is an
isosceles triangle with \( \boldsymbol{A} \boldsymbol{D}=\boldsymbol{A} \boldsymbol{F} \)
\( F A B \) and \( E D C \) are straight lines. Find
\( \boldsymbol{y} \)
A . 112
в. 102
\( c .132 \)
D. 11
Subject: Physics
A litre of dry air at STP expands adiabatically to a volume of 3 litres. If
\( \gamma=1.40, \) the work done by air is:
\( \left(3^{1.4}=4.6555\right) \) [Take air to be an ideal gas \( ] \)
A . \( 48 \mathrm{J} \)
в. \( 100.8 \mathrm{J} \)
c. \( 60.7 J \)
D. \( 90.5 J \)
Subject: Chemistry
Which of the following will given maximum number of isomers?
\( \mathbf{A} \cdot\left[\operatorname{Co}\left(N H_{3}\right)_{4} C l_{2}\right]^{+} \)
B . \( \left[N i(e n)\left(N H_{3}\right)_{4}\right]^{2+} \)
\( \mathbf{c} \cdot\left[\operatorname{Cr}(S C N)_{2}\left(N H_{3}\right)_{4}^{+}\right] \)
D. \( \left[N i\left(C_{2} O_{4}\right)(e n)_{2}\right]^{2} \)
Subject: Chemistry
Which of the following factors may be
regarded as the main cause of
lanthanide contraction?
A. Greater shielding of 5 d-electron by 4 f-electrons
B. Poor shielding of 5 d-electron by 4 f-electrons
c. Effective shielding of one 4 f-electrons by another in the subshel
D. Poor shielding of one of 4-electrons by another in the subshell
Subject: Chemistry
If the reaction equation is \( n A+m B \leftrightarrow \)
\( x C+y D \)
What is the equilibrium equation?
A \( \cdot K=[C]^{x}[D]^{y} /[A]^{n}[B]^{m} \)
B . \( K=[A]^{n}[B]^{m} /[C]^{x}[D]^{y} \)
C . \( K=[A]^{n}[B]^{m} /[A]^{n}[B]^{m} \)
D. \( K=[C]^{x}[A]^{y} /[A]^{n}[D]^{m} \)
E . \( K=[C][D] /[A][B] \)
Subject: Physics
n the figure, an ideal gas changes its
state from state \( A \) to state \( C \) by two
paths \( A B C \) and \( A C \)

The internal energy of gas of \( A \) is \( 30 J \)
and the amount of heat supplied to
change its state to \( C \) through path \( A C \)
is \( 210 J . \) Calculate the internal energy
of gas at \( C \)
Subject: Chemistry
Read the assertion and reason carefully
and answer the question on the basis of the following options. You have to select
the one that best describes the two
statements.
Assertion: Potassium and caesium are
used in photoelectric cells. Reason: Potassium and caesium emit
electrons on exposure to light.
A. If both assertion and reason are true and the reason is correct explanation of the assertion
B. If both assertion and reason are true but reason is not a correct explanation of the assertion
c. If the assertion is true but reason is false
D. If both the assertion and reason are false
E. If the assertion is false but the reason is true
Subject: Physics
Mercury boils at \( 367^{\circ} \mathrm{C} \). Mercury thermometers are made such that they
can measure temperature up to \( 500^{\circ} \mathrm{C} \) This done by
A. Filling nitrogen gas at high pressure above the mercury column
B. Fillıng oxygen gas at low pressure above the mercury column
c. Filling carbondioxide gas above mercury column
D. None of the above
Subject: Physics
A change of \( 200 m V \) in base-emitter
voltage causes a change of \( 100 \mu A \) in
the base current. The input resistance of the transistor is
\( \mathbf{A} \cdot 2 K \Omega \)
в. \( 2 \Omega \)
c. \( 2 m \Omega \)
D. 10 K\Omega
Subject: Chemistry
When 229 J of energy is supplied as heat at constant pressure to 3 mol \( A r(g), \) the temperature of the sample is increased by \( 2.55 \mathrm{K} \). Calculate the motor heat capacity at constant volume:
A. 30 KJ \( K^{-1} \) mol \( ^{-1} \) -
B. 30 J K \( ^{-1} \) mol \( ^{-1} \)
C . 21.7 J K \( ^{-1} \) mol \( ^{-1} \)
D. 21.7 KJ K \( ^{-1} \) mol \( ^{-1} \)
Subject: Maths
In the figure above, lines \( l \) and \( k \)
intersect at point \( Q . \) If \( m=40^{\circ} \) and
\( p=25^{\circ}, \) what is the value of \( x ? \)
A \( \cdot 15^{\circ} \)
B. \( 20^{\circ} \)
\( c \cdot 25 \)
D. \( 40^{\circ} \)
\( E \cdot 65^{\circ} \)
Subject: Maths
If the sum of the roots of the equation
\( a x^{2}+b x+c=0 \) is equal to sum of the
squares of their reciprocals, then \( b c^{2}, c a^{2}, a b^{2} \) are in
A . \( A . P \)
в. \( G . P \)
c. \( H . P \)
D. A.G.P
Subject: Physics
The current gain \( (\beta) \) of a transistor in
common base mode is \( 40 . \) To change
the collector current by \( 160 \mathrm{mA} \), the necessary change in the base current is
(at constant \( \mathbf{V}_{C E} \) )
A. \( 0.25 \mu \)
B. \( 4 \mu \) A
\( c \cdot 4 m A \)
D. \( 40 \mathrm{mA} \)
Subject: Physics
A large tank is filled with water to a height H. A small hole is made at the
base of the tank. It takes 71 time to
decrease the height of water to \( \frac{H}{\eta}(\eta> \)
1) and \( T_{2} \) time to take out the rest of 11
water. If \( T_{1}=T_{2} \) then the value of \( \eta \) is
\( A \cdot 2 \)
B. 4
\( c \cdot 6 \)
D. 8
Subject: Chemistry
Pick out the correct statement(s):
This question has multiple correct options
\( \mathbf{A} \cdot M n O_{2} \) dissolves in conc. \( H C l \) but does not form \( M n^{4+} \)
ions.
B. Decomposition of acidic \( K M n O_{4} \) is not catalysed by sunlight
C \( . M n O_{4}^{2-} \) is strongly oxidising and stable only in a very strong alkali. In dilute alkali, water or acidic solutions it dispropotionates.
D. \( K M n O_{4} \) does not act as oxidising agent in alkaline medium.
Subject: Maths
Column II gives \( n^{t h} \) term for AP given in column I. Match them correctly.
A. \( 119,136,153,170 \dots \)
1. 13 -
\( \mathbf{3} n \)
B. \( 7,11,15,19, \dots . \)
2. \( 9-5 n \)
C. \( 4,-1,-6,-11, \dots \)
\( 3.3+4 n \)
D. \( 10,7,4,3 \dots . \)
\( 4.17 n+ \)
\( \mathbf{1 0 2} \)
A \( \cdot A \rightarrow 3, B \rightarrow 2, C \rightarrow 1, D \rightarrow 4 \)
B. A \( \rightarrow 4, \) В \( \rightarrow 3, C \rightarrow 2, D \rightarrow 1 \)
\( \mathrm{c} \cdot \mathrm{A} \rightarrow 3, \mathrm{B} \rightarrow 4, \mathrm{C} \rightarrow 2, \mathrm{D} \rightarrow 1 \)
D. A \( \rightarrow 1, \) В \( \rightarrow 3, \) С \( \rightarrow 4, \) D \( \rightarrow 2 \)
Subject: Physics
\( N_{2} \) gas is assumed to behave ideally \( A \)
given volume of \( N_{2} \) originally at \( 373 \mathrm{k} \)
and 0.1013 M pa pressure is adiabatically compressed due to which
its temperature rises to \( \mathbf{6 7 3} \boldsymbol{K}\left(\boldsymbol{C v}=\frac{\mathbf{5}}{\mathbf{2}} \boldsymbol{R}\right) \)
Which of the following statement(s) is/are correct?
This question has multiple correct options
A. The change in internal energy is 6235.5 J mole \( ^{-1} \)
B. In this case the final internal pressure is equal to the external pressure
C. The final pressure of \( N_{2} \) is approximately 0.38 MPa
D. The final pressure of \( N_{2} \) is approximately 0.02 Mpa
Subject: Physics
A very long magnet is placed vertically with one pole on the table. A neutral
point was found at \( 20 \mathrm{cm} \) from the pole. What is the pole strength if the vertical
component of earth's field is \( 0.4 \times \)
\( 10^{-4} W b m^{-2} ? \)
\( \mathbf{A} \cdot 16 A-m \)
в. \( 8 A-m \)
\( \mathrm{c} \cdot 4 A-m \)
D. None of these
Subject: Physics
An electric dipole is placed in a non
uniform electric field increasing along the
\( + \)ve direction of \( \mathrm{X} \) - axis. The dipole
moves along and rotates
A. \( +v e \) direction of \( X \) - axis, clockwise
B. - ve direction of \( X \) - axis, clockwise
c. \( +v e \) direction of \( X \) - axis, anti clockwise
D. - ve direction of \( X \) - axis, anti clockwise
Subject: Physics
A stone dropped from a height of \( 10 \mathrm{cm} \)
above the top of window \( 80 \mathrm{cm} \) height.
The time taken by the stone to cross the window is \( \left(\boldsymbol{g}=\mathbf{9 . 8} \boldsymbol{m} / \boldsymbol{s}^{2}\right) \)
A \( \cdot \frac{1}{7} s \)
в. \( \frac{3}{7} s \)
\( c \cdot \frac{2}{7} s \)
D. \( \frac{4}{7} s \)
Subject: Physics
Four identical planks each of length a are arranged one above the other over a
table as shown. Each projects a
distance beyond the edge of the one
that is below it. The maximum value for
L so that no block topple is
A \( \cdot \frac{a}{2} \)
B. \( \frac{3 a}{4} \)
c. \( \frac{25 a}{24} \)
D. \( \frac{11 a}{12} \)
Subject: Biology
Select the correct sequence of
succession in a pond
A. Submerged plants \( \rightarrow \) Floating plants \( \rightarrow \) Reed swamp stage \( \rightarrow \) Sedges
B. Floating plants \( \rightarrow \) Submerged plants \( \rightarrow \) Reed swamp stage \( \rightarrow \) Sedges
C. Reed swamp stage \( \rightarrow \) Sedges \( \rightarrow \) Floating plants \( \rightarrow \) Submerged plants
D. Sedges \( \rightarrow \) Reed swamp stage \( \rightarrow \) Floating plants \( \rightarrow \) Submerged plants
Subject: Chemistry
Shape and hybridization of \( I F_{5} \)
respectively are
A. trigonal bipyramidal, \( s p^{3} d \)
B. see-saw, \( s p^{3} d \)
C . square pyramidal, \( s p^{3} d^{2} \)
D. pentagonal pyramidal, sp \( ^{3} d^{3} \)
Subject: Chemistry
\( \boldsymbol{K}_{s p} \) of \( \boldsymbol{C u} \boldsymbol{S}, \boldsymbol{A} \boldsymbol{g}_{2} \boldsymbol{S} \) and \( \boldsymbol{H} \boldsymbol{g} \boldsymbol{S} \) are
\( 10^{-31}, 10^{-44} \) and \( 10^{-54} \) mol \( ^{2} \) litre \( ^{-2} \)
respectively. Select the correct order for their solubility in water
\( \mathbf{A} \cdot A g_{2} S>H g S>C u S \)
B. \( H g S>C u S>A g_{2} S \)
c. \( H g S>A g_{2} S>C u S \)
D. \( A g_{2} S>C u S>H g S \)
Subject: Chemistry
Write balanced net ionic equation for the following reactions in acidic solution:
\( \boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{2}(\boldsymbol{a} \boldsymbol{q}) \rightarrow \boldsymbol{N} \boldsymbol{O}_{3}^{-}+\boldsymbol{N} \boldsymbol{O}(\boldsymbol{g}) \)
A \( \cdot H N O_{2}(a q) \rightarrow H N O_{3}^{-}+2 N O(g)+H_{2} O \)
B \( \cdot 2 H N O_{2}(a q) \rightarrow 2 H N O_{3}^{-}+2 N O(g)+2 H_{2} O \)
\( \mathrm{c} \cdot 3 \mathrm{HNO}_{2}(a q) \rightarrow \mathrm{NO}_{3}^{-}+2 \mathrm{NO}(g)+\mathrm{H}_{2} \mathrm{O}+\mathrm{H}^{+} \)
D. None of the above
Subject: Chemistry
If \( 75.2 \% \) of a compound is carbon and the rest of its weight is hydrogen, the formula of the compound is:
A. \( C_{3} H_{6} \)
в. \( C_{2} H_{2} \)
\( \mathbf{c} \cdot C_{2} H_{4} \)
D. \( C H_{4} \)
Subject: Physics
On rotating a wheel of radius \( 4 m, a \)
force of \( 20 N \) is applied at an angle \( 30^{\circ} \) to the radius, at a point of application. The resulting torque on the wheel is:
\( \mathbf{A} \cdot 80 N-m \)
B. \( 60 N-m \)
c. \( 40 N-m \)
D. \( 20 N-m \)
Subject: Physics
A body is thrown vertically upwards
from the top \( A \) of a tower. It reaches the
ground in \( t_{1} \) seconds. If it thrown
vertically downwards from A with same
speed it reaches the ground in \( t_{2} \)
seconds. If it is allowed to fall freely
from \( A, \) then the time it takes to reach
the ground is given by:
A \( \cdot t=\frac{t_{1}+t_{2}}{2} \)
B. \( t=\sqrt{\frac{t_{1}^{2}+t_{2}^{2}}{2}} \)
C \( . t=\sqrt{t_{1} t_{2}} \)
D. \( t=t_{1}+t_{2} \)
Subject: Physics
Results of calculations for four different
designs of a fusion reactor using D-D reaction are given below.Which of these is most promising based on Lawson criterion?
A. deuteron density \( =2.0 \times 10^{12} \mathrm{cm}^{-3} \), confinement time \( =5.0 \times 10^{-3} \mathrm{s} \)
B. deuteron density \( =8.0 \times 10^{14} \mathrm{cm}^{-3} \), confinement time \( =9.0 \times 10^{-1} \mathrm{s} \)
C. deuteron density \( =4.0 \times 10^{23} \mathrm{cm}^{-3}, \) confinement time \( =1.0 \times 10^{-11} \mathrm{s} \)
D. deuteron density \( =1.0 \times 10^{24} \mathrm{cm}^{-3} \), confinement time
\[
=4.0 \times 10^{-12} \mathrm{s}
\]
Subject: Maths
The ratio of nth term of two A.P.s is
\( (14 n-6):(8 n+23), \) then the ratio of
their sum of first \( \mathrm{m} \) terms is
A \( \cdot \frac{4 m+4}{7 m+24} \)
в. \( \frac{7 m+1}{4 m+24} \)
c. \( \frac{7 m+1}{4 m+27} \)
D. \( \frac{28 m-20}{16 m+15} \)
Subject: Maths
In the figure above, points \( A, D, B, \) and \( G \)
are collinear. If \( \angle C A D \) measures \( 76^{\circ} \)
\( \angle B C D \) measures \( 47^{\circ}, \) and \( \angle C B G \)
measures \( 140^{\circ}, \) find the degree
measure of \( \angle \boldsymbol{A} \boldsymbol{C} \boldsymbol{D} \)
A \( \cdot 12^{\circ} \)
B . \( 14^{\circ} \)
\( c \cdot 17 \)
\( \mathbf{D} \cdot 36 \)
\( E \cdot 43 \)
Subject: Physics
A train \( 50 \mathrm{m} \) long passes over a bridge at a constant velocity of \( 30 \mathrm{km} / \mathrm{h} \). If it takes 36 s to cross the bridge, the length of the bridge will be
A. \( 100 \mathrm{m} \)
B. 200 \( \mathrm{m} \)
c. 250 \( \mathrm{m} \)
D. 300 \( \mathrm{m} \)
Subject: Maths
The slope and y-intercept of the following line are respectively
\( 2 y+2 x-5=0 \)
A \( \cdot \) slope \( =m=1 \quad \) and \( \quad y- \) intercept \( =c=\frac{5}{2} \)
B. slope \( =m=1 / 5 \) and \( y- \) intercept \( =c=\frac{2}{5} \)
C \( \cdot \) slope \( =m=-1 \) and \( y- \) intercept \( =c=\frac{5}{2} \)
D. slope \( =m=-1 / 5 \) and \( y- \) intercept \( =c=\frac{2}{5} \)
Subject: Physics
A particle is dropped from rest from a
large height. Assume \( g \) to be constant
throughout, the motion. The time taken
by it to fall through successive
distances of \( 1 \mathrm{m} \) each will be
\( \mathbf{A} \cdot \) All equal, being equal to \( \sqrt{2 / g} \) second
B. In the ratio of the square roots of the integers 1,2,3
C. In the ratio of the difference in the square roots of the integers, i.e., \( \sqrt{1},(\sqrt{2}-\sqrt{1}),(\sqrt{3}-\sqrt{2}),(\sqrt{4}-\sqrt{3}), \ldots \)
D. In the ratio of the reciprocals of the square roots of the integers, i.e., \( \frac{1}{\sqrt{1}}, \frac{1}{\sqrt{2}}, \frac{1}{\sqrt{3}}, \ldots \)
Subject: Physics
Two discs of equal mass but different diameter are connected with an axle
system that allows them to roll down an
incline together. Both discs start and
finish at the same time. Find out which
of the following statement is true?
A. Their tangential velocity is the same
B. Their tangential acceleration is the same
c. Their angular velocity is the same
D. Their angular displacement is the same
E. Their angular acceleration is the same
Subject: Maths
Consider the function \( \boldsymbol{f}(\boldsymbol{x})= \) \( \left\{\begin{array}{cl}\frac{x+5}{x-2} & \text { if } x \neq 2 \\ 1 & \text { if } x=2\end{array} . \text { Then } f(f(x)) \) is \right.
discontinuous.
A. At all real numbers
B. At exactly two values of \( x \)
c. At exactly one value of \( x \)
D. At exactly three values of \( x \)
Subject: Chemistry
Write IUPAC names of following
alcohols.
\( \boldsymbol{C H}_{3}-\underset{\boldsymbol{C}_{2} \boldsymbol{H}_{5}}{\boldsymbol{C H}}-\boldsymbol{C H}-\boldsymbol{C H}_{3} \)
\( \boldsymbol{o} \boldsymbol{H} \)
Subject: Maths
valuate: \( \left|\begin{array}{cccc}1 & a & a^{2} & a^{3}+b c d \\ 1 & b & b^{2} & b^{3}+c d a \\ 1 & c & c^{2} & c^{3}+a b d \\ 1 & d & d^{2} & d^{3}+a b c\end{array}\right| \)
Subject: Maths
In the triangle \( A B C, P Q \) is parallel to
\( B C . \) Find the length of \( x \) and \( y \)
A. \( x=26.25, y=17.1 \)
B. \( x=17.1, y=26.25 \)
c. \( x=17.34, y=26.57 \)
D. \( x=26.45, y=17.33 \)
Subject: Physics
Identify \( [\boldsymbol{A}] \) and \( [\boldsymbol{B}] \) in the following:
\( \underset{89}{297} A c \stackrel{-\beta}{\longrightarrow}[A] \quad-\alpha \)
\( [\boldsymbol{B}] \stackrel{-\boldsymbol{\alpha}}{\longrightarrow} \boldsymbol{R} \boldsymbol{n} \)
A \( . P o, R n \)
в. \( T h, P o \)
c. \( R a, T h \)
D. \( T h, R a \)
Subject: Physics
A glass sphere of radius \( 15 \mathrm{cm} \) has a
small bubble \( 6 \mathrm{cm} \) from it centre. The
bubble is viewed along a diameter of
the sphere from the side o which it lies. How far from the surface will it appear
to be if the refractive index of glass is
\( \mathbf{1 . 5} ? \)
Subject: Maths
Find the present value of annuity
immediate of \( R s .18,000 \) p.a for 3 years at \( 9 \% \) p.a compounded annually [Given
\( \left.(\mathbf{1} . \mathbf{0 9})^{\mathbf{3}}=\mathbf{1 . 2 9}\right] \)
Subject: Chemistry
Assertion (A): Aldehydes are one of the constituents of photochemical
\( \operatorname{sinog} \)
Reason (R): Aldehydes are produced by photochemical oxidation of hydrocarbons by ozone.
A. Both A and R are true and R is the correct explanation of A.
B. Both A and R are true but R is not correct explanation of A.
c. A is true and \( \mathrm{R} \) is false
D. A is false and R is true
Subject: Chemistry
Name the process:
\( Z r+2 I_{2} \stackrel{600^{\circ} C}{\longrightarrow} Z r I_{4} \stackrel{1800^{\circ} C}{\longrightarrow} Z r+2 I_{2} \)
Options:
1. Monds
2. Van Arkel
3. Hall
4. Bausch
Enter the correct option in the form of
the number
Subject: Maths
If \( f \) is a real valued function defined by
\( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{3}+\mathbf{4} \boldsymbol{x}+\mathbf{3}, \) then find \( \boldsymbol{f}^{\prime}(\mathbf{1}) \) and
\( \boldsymbol{f}^{\prime}(\boldsymbol{3}) \)
Subject: Maths
Find the equation of the plane through the points \( \boldsymbol{A}(\mathbf{2}, \mathbf{2}-\mathbf{1}), \boldsymbol{B}(\mathbf{3}, \mathbf{4}, \mathbf{2}) \) and
\( \boldsymbol{C}(\boldsymbol{7}, \boldsymbol{0}, \boldsymbol{6}) \)
A. \( 5 x+2 y-3 z=17 \)
B. \( 5 x+2 y+3 z=17 \)
c. \( 5 x+y-3 z=7 \)
D. \( 5 x+y+3 z=7 \)
Subject: Physics
A long rod \( A B C \) of mass \( m \) and length \( L \)
has two particles of masses \( m \) and \( 2 m \) attached to it as shown in the figure. The system is initially in the horizontal position. The work to be done to keep it vertical with \( A \) at the bottom is \( (g= \)
acceleration due to gravity)
\( \mathbf{A} \cdot 2 m g L \)
в. \( \frac{3 m g L}{2} \)
c. \( \frac{5 m g L}{2} \)
D. \( 3 m g L \)
Subject: Chemistry
Compared to other acids like \( \boldsymbol{H} \boldsymbol{C l} \)
\( \boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{3}, \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) is highly syrupy and
viscous in nature. Identify the correct
reason
A \( \cdot H_{2} S O_{4} \) is highly concentrated
B. \( H_{2} S O_{4} \) is a stronger acid than \( H C l, H N O_{3} \)
\( \mathrm{c} \cdot \mathrm{H}_{2} \mathrm{SO}_{4} \) is associated by more number of hydrogen bonds
D. Both \( A \) and \( B \).
Subject: Chemistry
For the process:
\( \boldsymbol{H}_{2} \boldsymbol{O}[\boldsymbol{l}, \boldsymbol{T}(\boldsymbol{K}), \boldsymbol{P}(\boldsymbol{b} \boldsymbol{a} \boldsymbol{r})] \rightarrow \)
\( \boldsymbol{H}_{2} \boldsymbol{O}[\boldsymbol{g}, \boldsymbol{T}(\boldsymbol{K}), \boldsymbol{P}(\boldsymbol{b} \boldsymbol{a} \boldsymbol{r})] . \) Mark correct
statements.
This question has multiple correct options
A \( \cdot \Delta G=0, \) if \( P= \) vapour pressure of \( H_{2} O(l) \) at \( T K \)
B . \( \Delta G=+v e \), if \( P \) = vapour pressure of \( H_{2} O(l) \) at a temperature above TK
C . \( \Delta G=+v e, \) if \( P> \) vapour pressure of \( H_{2} O(l) \) at \( T K \)
D. \( \Delta G=-v e \), if \( P< \) vapour pressure of \( H_{2} O(l) \) at \( T K \)
Subject: Chemistry
Correct balanced equation from the following reactions is:
A. \( N a H C O_{3} \rightarrow N a_{2} C O_{3}+H_{2} O+C O_{2} \)
в. 2 NaHCO \( _{3} \rightarrow 2 \) Na\( _{2} \) CO \( _{3}+H_{2} \) O +3 C \( O_{2} \),
\( \mathrm{c} \cdot 2 \mathrm{NaH} \mathrm{CO}_{3} \rightarrow \mathrm{Na}_{2} \mathrm{CO}_{3}+\mathrm{H}_{2} \mathrm{O}+\mathrm{CO}_{2} \)
D. \( _{N a H C O_{3} \rightarrow N a_{2} C O_{3}+\frac{1}{2} H_{2} O+C O_{2}} \)
Subject: Physics
The resistance of a wire of cross-section
'a' and length 'l' is R ohm. The resistance of another wire of the same material
and of the same length but crosssection '4a' will be
\( A \cdot 4 R \)
в. \( \frac{R}{4} \)
\( c \cdot \frac{R}{16} \)
D. 16 R
Subject: Chemistry
Calculate \( \boldsymbol{E}_{\text {cell}} \)
\( \boldsymbol{P t}(\boldsymbol{s})\left|\boldsymbol{H}_{2}(\boldsymbol{g})_{1 a t m}\right| \boldsymbol{H} \boldsymbol{A}_{\left(\boldsymbol{K}_{a}=10^{-7}\right)} \mathbf{1} \boldsymbol{M} \| \boldsymbol{H} \boldsymbol{B}_{(\boldsymbol{k}} \)
A .0 .06
B. 0.03 V
c. \( 0.04 v \)
D. \( 0.05 \mathrm{v} \)
Subject: Maths
Yamini and Fatima, two students of
Class IX of a school, together contributed Rs 100 towards the
Prime Minister's Relief Fund to help the earthquake victims. Write a linear equation which the given data will satisfy and also plot its graph.
A. \( x+y=100 \)
в. \( x+y=112 \)
c. \( x+y=50 \)
D. \( x+2 y=100 \)
Subject: Physics
A rubber cord catapult has crosssection area \( 25 m m^{2} \) and initial length of rubber cord is \( 10 \mathrm{cm} \). It is stretched to
\( 5 c m \) and then released to project a
missile of mass 5gm. Taking, \( \boldsymbol{Y}_{\text {rubber}}= \)
\( 5 \times 10^{8} N / m^{2}, \) velocity of projected
missile is
A \( \cdot 20 m s^{-1} \)
B. \( 100 \mathrm{ms}^{-1} \)
\( \mathbf{c} \cdot 250 m s^{-1} \)
D. \( 200 m s^{-1} \)
Subject: Physics
A neutron breaks into a proton and an electron. Calculate the energy produced in this reaction is MeV. Mass of an
electron \( =9 \times 10^{-31} k g, \) mass of proton
\( =1.6725 \times 10^{-27} k g, \) mass of neutron
\( =1.6747 \times 10^{-27} k g, \) and speed of light
\( =3 \times 10^{8} m s^{-1} \)
Subject: Maths
The value of the expression \( \frac{2\left(\sin 1^{\circ}+\sin 2^{\circ}+\sin 3^{\circ}+\ldots+\sin 89^{\circ}\right)}{2\left(\cos 1^{\circ}+\cos 2^{\circ}+\ldots+\cos 44^{\circ}\right)+1} \)
is
A \( \cdot \sqrt{2} \)
в. \( \frac{1}{\sqrt{2}} \)
\( c \cdot \frac{1}{2} \)
\( D \)
Subject: Physics
The Electromagnetic wave travelling in a medium has relative permeability 1.3 and relative premittivity 2.14. The speed
of EM wave in that medium will be.
\( \mathbf{A} \cdot 13.6 \times 10^{6} \mathrm{m} / \mathrm{s} \)
B . \( 1.8 \times 10^{6} \mathrm{m} / \mathrm{s} \)
c. \( 3.6 \times 10^{8} \mathrm{m} / \mathrm{s} \)
D. \( 1.8 \times 10^{8} \mathrm{m} / \mathrm{s} \)
Subject: Physics
A stone falls freely under gravity. It
covers distances \( h_{1}, h_{2} \) and \( h_{3} \) in the
first 5 seconds, the next 5 seconds and
the next 5 seconds respectively. The relation between \( h_{1}, h_{2} \) and \( h_{3} \) is
A \( \cdot h_{1}=2 h_{2}=3 h_{3} \)
B. \( h_{1}=\frac{h_{2}}{3}=\frac{h_{3}}{5} \)
c. \( h_{2}=3 h_{1} \) and \( h_{3}=3 h_{2} \)
D. \( h_{1}=h_{2}=h_{3} \)
Subject: Chemistry
If the atomic number of an element is
\( 58, \) it will be placed in the periodic table
in the:
A . III B gp and \( 6^{\text {th }} \) period
B. IV B gp and \( 6^{\text {th}} \) period
C. \( \mathrm{VB} \) gp and \( 7^{\operatorname{th}} \) period
D. None of the above
Subject: Physics
The electrical resistance of pure
platinum increases linearly with increasing temperature over a small range of temperature. This property is used in a Platinum resistance
thermometer. The relation between \( \boldsymbol{R}_{\boldsymbol{\theta}} \)
(Resistance at \( \theta \) K) and \( R_{0} \) (Resistance
\( \left.\operatorname{at} \theta_{0} K\right) \) is given by \( R_{\theta}=R_{0}[1+\alpha(\theta- \)
\( \left.\left.\boldsymbol{\theta}_{0}\right)\right], \) where \( \boldsymbol{\alpha}= \) temperature coefficient
of resistance. Now, if a Platinum
resistance thermometer reads \( 0^{\circ} \mathrm{C} \)
when its resistance is \( 80 \Omega \) and \( 100^{\circ} \mathrm{C} \)
when its resistance is \( 90 \Omega \), find the
temperature at which its resistance is
\( 86 \Omega \)
Subject: Physics
A point source of light is kept at a depth of h in water of refractive index 4/3. The
radius of the circle at the surface of
water through which light emits is
A \( \cdot \frac{3}{\sqrt{7}} h \)
в. \( \frac{\sqrt{7}}{3} h \)
c. \( \frac{\sqrt{3}}{7} \)
D. \( \frac{7}{\sqrt{3}} h \)