AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
The vapour prerssure of pure liquids \( A \) and B are 400 and \( 600 m m H g \) respectively at \( 298 K . \) On mixing the two liquids, the sum of their initial volumes is equal to the volume of the final mixture. The mole fraction of liquids B
is 0.5 in the mixture. The vapour pressure of the final solution,the mole fraction of components \( A \) and \( B \) in
vapour phase, respectively are:
A. \( 500 \mathrm{mmHg}, 0.5,0.5 \)
в. 450 ттН \( g, 0.4,0.6 \)
c. 450 mmHg \( , 0.5,0.5 \)
D. \( 500 \mathrm{mmHg}, 0.4,0.6 \)
Subject: Physics
A bullet of mass m moving with a
velocity \( v_{1} \) strikes a suspended wooden
block of mass \( \mathrm{M} \) as shown in the figure
and sticks to it. If the block rises to a
height h the initial velocity of the bullet
is-
A \( \cdot \frac{m+M}{m} \sqrt{2 g h} \)
\( \mathbf{B} \cdot \sqrt{2 g h} \)
c. \( \frac{M+m}{m} \sqrt{g h} \)
D. \( \frac{m}{M+m} \sqrt{2 g h} \)
Subject: Maths
A die having six faces is tossed 80 times and the data is as below:
outcome
\[
\begin{array}{ccc}
3 & 4 \\
& \\
& \\
& \\
10 & 28
\end{array}
\]
Frequency
\( \begin{array}{ll}20 & 0 \\ 0 & 10 \\ 2 & 0\end{array} \)
Find \( P(1) \)
A. 0.175
в. 0.135
\( c \cdot 0.145 \)
D. 0.125
Subject: Maths
Find the cube of \( :\left(2 a+\frac{1}{2 a}\right) ; a \neq 0 \)
A \( \cdot 8 a^{3}+6 a+\frac{3}{2 a}+\frac{1}{8 a^{3}} \)
в. \( 8 a^{3}+3 a+\frac{3}{a}+\frac{1}{8 a^{3}} \)
c. \( 8 a^{3}+3 a+\frac{6}{a}+\frac{1}{8 a^{3}} \)
D. \( 8 a^{3}+6 a+\frac{6}{a}+\frac{1}{8 a^{3}} \)
Subject: Physics
A particle of mass \( m \) is moving in
horizontal circle of radius \( r \) with
uniform speed \( v \). When it moves from one point to a diametrically opposite point its
A. KE changes by \( m v^{2} \).
B. KE changes by \( \frac{1}{4} m v^{2} \).
c. momentum does not change.
D. momentum changes by \( 2 m v \)
Subject: Physics
The variation in potential energy of a
harmonic oscillator is as shown in the
figure. The spring constant is
A \( \cdot 1 \times 10^{2} \mathrm{Nm}^{-1} \)
B. \( 1.5 \times 10^{2} N m^{-1} \)
c. \( 0.0667 \times 10^{2} N m^{-1} \)
D. \( 3 \times 10^{2} \mathrm{Nm}^{-} \)
Subject: Maths
fray \( O S \) stand on a line \( P O Q \). Ray \( O R \)
and ray \( \boldsymbol{O} \boldsymbol{T} \) are angle bisectors of
\( \angle P O S \) and \( \angle S O Q \) respectively. If
\( \angle P O S=x, \) find \( \angle R O T \)
Subject: Physics
The moment of the force, \( \overrightarrow{\boldsymbol{F}}=\mathbf{4} \hat{\mathbf{i}}+ \)
\( 5 \hat{j}-6 \hat{k} \) at (2,0,-3) about the point
\( (2,-2,-2), \) is given by
\( \mathbf{A} \cdot-8 \hat{i}-4 \hat{j}-7 \hat{k} \)
B . \( -4 \hat{i}-\hat{j}-8 \hat{k} \)
\( \mathbf{c} .-7 \hat{i}-8 \hat{j}-4 \hat{k} \)
D. \( -7 \hat{i}-4 \hat{j}-8 \hat{k} \)
Subject: Physics
A coil having 200 turns has a surface
area of \( 0.15 m^{2} . \) A magnetic field of
strength \( 0.2 T \) applied perpendicular to this changes to \( 0.6 \mathrm{T} \) in \( 0.4 \mathrm{s} \), then the induced emf in the coil is
A . 45
B. 30
c. 15
D. 60
Subject: Maths
A square park has each side of \( 100 m \)
At each corner of the park, there is a
flower bed in the form of a quadrant of
radius \( 14 m \) as shown in figure. Find the
area of the remaining part of the park. \( \left[\text { Use } \boldsymbol{\pi}=\frac{\mathbf{2 2}}{\mathbf{7}}\right] \)
A \( \cdot 12843 m^{2} \)
B. \( 11284 m^{2} \)
\( \mathrm{c} \cdot 9384 m^{2} \)
D. \( 7382 m^{2} \)
Subject: Maths
Construct a quadrilateral ABCD, when:
\( \angle A=90^{\circ}, A B=4.6 \mathrm{cm}, B C=5.0 \mathrm{cm}, \mathrm{AD} \)
\( =6.0 \mathrm{cm} \) and \( \mathrm{CD}=4.2 \mathrm{cm} \)
Subject: Physics
If a string attached to a fixed pulley of radius R moves through a distance \( x \) and the pulley rolls without slipping
through an angle \( \theta, x \) and \( \theta \) are related
by
\( A \cdot x>R \theta \)
B. \( x=R \theta \)
\( c \cdot x<R \theta \)
D. 2R \( \theta \)
Subject: Physics
An air bubble of radius \( r \) is formed at a
depth \( h \) below the surface of water. The pressure inside the bubble is \( [\boldsymbol{T}= \)
surface tension, \( P_{o}= \) atmospheric pressure, \( \boldsymbol{d}=\text { density of water }] \)
\( ^{\mathrm{A}} \cdot_{P_{o}}=\frac{2 T}{r} \)
в. \( \frac{4 T}{r}+\frac{h}{r} \)
\( ^{\mathrm{c}} P_{o}+h d g+\frac{4 T}{r} \)
D. \( _{P_{o}+h d g}+\frac{2 T}{r} \)
Subject: Physics
A radioactive sample can decay by two different processes. The half-life for the
first process is \( T_{1} \) and that for the
second process is \( T_{2} \). The effective half-
life \( T \) of the radioactive sample is
A \( \cdot T=T_{1}+T_{2} \)
в. \( \frac{1}{T}=\frac{1}{T_{1}}+\frac{1}{T_{2}} \)
c. \( T=\frac{T_{1}+T_{2}}{T_{1} T_{2}} \)
D. \( T=\frac{T_{1}-T_{2}}{T_{1} T_{2}} \)
Subject: Maths
If \( \cot ^{-1}\left(\frac{1}{x+1}\right)+\cot ^{-1}\left(\frac{1}{x-1}\right)= \)
\( \tan ^{-1} 3 x-\tan ^{-1} x \)
then \( \boldsymbol{x}= \)
A. \( \pm 1 / 2 \)
B. \( -1, \pm 1 / 3 \)
c. 2,±1
D. \( -1 . \pm 1 / 2 \)
Subject: Physics
Match the following
\( \begin{array}{ll}\text { Column-I } & \text { Column-II } \\ \text { A. Pressure } & \text { E. } M L^{-1} T^{-2} \\ \text {B. Stress } & \text { F. } N m^{-2} \\ \text {C. Energy per unit } & \text { G. } M^{0} L^{0} T^{0} \\ \text { volume } & \text { H. } J m^{-3} \\ \text {D. Strain } & \end{array} \)
\( \mathbf{A} \cdot A-E, F, H: B-E, F, H: C-E, F, H: D-G \)
\( B \cdot A-E, F: B-E, H: C-E, F, H: D-G \)
\( \mathbf{C} \cdot \mathbf{A}-\mathbf{E}, \mathbf{H}: \mathbf{B}-\mathbf{E}, \mathbf{F}: \mathbf{C}-\mathbf{E}, \mathbf{F}, \mathbf{H}: \mathbf{D}-\mathbf{G} \)
D. \( A-E, F, H: B-E, F: C-E, F, H: D-G \)
Subject: Maths
\( \mathbf{2} \cdot \boldsymbol{C}_{\mathbf{0}}+\mathbf{2}^{2} \cdot \frac{\boldsymbol{C}_{1}}{\mathbf{2}}+\mathbf{2}^{\mathbf{3}} \cdot \frac{C_{2}}{\mathbf{3}}+\ldots+ \)
\( \mathbf{2}^{n+1} \cdot \frac{C_{n}}{n+1}= \)
A \( \cdot \frac{3^{n+1}-1}{2(n+1)} \)
B . \( \frac{3^{n+1}-1}{n+1} \)
\( \mathrm{c} \cdot \frac{3^{n}-1}{n+1} \)
D. \( \frac{3^{n+1}}{n+1} \)
Subject: Chemistry
Match the column I with column II and
mark the appropriate choice.
Column II
(A) \( s p^{3} d^{2} \)
\( C_{2} H_{2} \quad \) (i) \( \quad \) hybridisation
(B) \( s p^{3} d^{3} \)
\( S F_{6} \quad \) (ii) \( \quad \) hybridisation
\( \begin{array}{llll}\text { (C) } & S O_{2} & \text { (iii) } & s p \text { hybridisation }\end{array} \)
\( \begin{array}{llll}\text { (D) } & I F_{7} & \text { (iv) } & s p^{2} \text { hybridisation }\end{array} \)
A \( \cdot(A) \rightarrow(i),(B) \rightarrow(\text { iii }),(C) \rightarrow(\text { ii }),(D) \rightarrow(i v) \)
B. \( (A) \rightarrow(\text { iii), }(B) \rightarrow(i),(C) \rightarrow(i v),(D) \rightarrow(i) \)
C. \( (A) \rightarrow(\text { ii) },(B) \rightarrow(\text { iii) },(C) \rightarrow(i),(D) \rightarrow(i v) \)
D. \( (A) \rightarrow(\text { iv ) },(B) \rightarrow(i),(C) \rightarrow(\text { iii }),(D) \rightarrow(\text { ii }) \)
Subject: Chemistry
How is ethanol produced by
fermentation?
A. Using anaerobic conditions at \( 30^{\circ} \mathrm{C} \)
B. Using anaerobic conditions at \( 450^{\circ} \mathrm{C} \)
C . Using steam at \( 30^{\circ} \mathrm{C} \)
D. Using steam at \( 450^{\circ} \mathrm{C} \)
Subject: Chemistry
10g fairly concentrated solution of
\( \boldsymbol{C u} \boldsymbol{S O}_{4} \) is electrolysed using \( \mathbf{0 . 0 1} \)
faraday of electricity. The mass of resulting solution is :
A. \( 9.6025 \mathrm{g} \)
B. \( 10.6005 \mathrm{g} \)
c. \( 6.6025 \mathrm{g} \)
D. None of these
Subject: Chemistry
The decreasing basic order of the following compounds is:
i. \( \boldsymbol{H}_{2} \boldsymbol{O} \)
ii. \( \boldsymbol{H}_{2} \boldsymbol{S} \)
iii. \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{e} \)
iv. \( \boldsymbol{H}_{2} \boldsymbol{T} \boldsymbol{e} \)
A \( \cdot(i)>(i i)>(i i i)>(i v) \)
B. \( (i v)>(i i i)>(i i)>(i) \)
C. \( (i i i)>(i)>(i i)>(i v) \)
D. \( (i v)>(i i)>(i)>(i i i) \)
Subject: Physics
An electric field of \( 1000 \mathrm{V} / \mathrm{m} \) is applied
to an electric dipole at angle of \( 45^{\circ} . \) The
value of electric dipole moment is \( 10^{-29} \)
C.m. What is the potential energy of the electric dipole?
B. \( -7 \times 10^{-27} \) j
\( c \cdot-10 \times 10^{-29} \)
D. \( -20 \times 10^{-18} \mathrm{J} \)
Subject: Physics
A composition string is made up by joining two strings of different masses
per unit length \( \longrightarrow \mu \) and \( 4 \mu . \) The
composite string is under the same tension. A transverse wave pulse : \( \boldsymbol{Y}= \) \( (6 m m) \sin (5 t+40 x), \) where \( t^{\prime} \) is in
seconds and ' \( x \) ' in meters, is sent along
the lighter string towards the joint. The joint is at \( x=0 . \) The equation of the
wave pulse reflected from the joint is
\( \mathbf{A} \cdot(2 m m) \sin (5 t-40 x) \)
B. \( (4 m m) \sin (40 x-5 t) \)
C. \( -(2 m m) \sin (5 t-40 x) \)
D. \( (2 m m) \sin (5 t-10 x) \)
Subject: Maths
If \( \frac{(x+1)^{2}}{x^{3}+x}=\frac{A}{x}+\frac{B x+C}{x^{2}+1}, \) then
\( \sin ^{-1} A+\tan ^{-1} B+\sec ^{-1} C= \)
A \( \cdot \frac{\pi}{2} \)
B.
\( c \cdot c \)
D. \( \frac{5 \pi}{6} \)
Subject: Chemistry
Of the following acids:
I. Hypophosphorus acid
II. Oxalic acid
III. Glycine
A . I, Il are monobasic; III dibasic and amphoteric
B. II monobasic; I dibasic acid; III amphotericc
c. I monobasic; II dibasic; II amphoteric
D. I, Il are dibasic; III amphoteric
Subject: Chemistry
One way of defining or identifying carbohydrates is to say that they can be described by the general formula,
\( C_{m}\left(H_{2} O\right)_{n}, \) where \( m \) and \( n \) may or may not be the same integer. Of the four structures displayed in the figure above, which one does NOT fit this definition of a carbohydrate?
The four figures, I-IV, below, are all composed of carbon(C)
\[
O=C \quad \text { oxygen }(O), \text { and hydrogen }(\mathbf{H})
\]
\( 0=0 \quad \) as indicated by the legendat left \( \circ=\mathbf{H} \quad \) You will be asked to use these figures to answer a series of questions.
0
\( \mathbf{I} \)
\( A \)
в. ॥
\( c \)
D. IV
Subject: Maths
Find the image of the point (5,7,3) in the line \( \frac{x-15}{3}=\frac{y-29}{8}=\frac{5-z}{5} \)
A \( \cdot(9,13,15) \)
В. (13,19,27)
c. (18,37,0)
D. (0,-11,30)
Subject: Maths
If \( \boldsymbol{A}=\{1,2\}, \boldsymbol{B}=\{\mathbf{2}, \boldsymbol{3}\} \) and \( \boldsymbol{C}= \)
\( \{3,4\}, \) then what is the cardinality of
\( (\boldsymbol{A} \times \boldsymbol{B}) \cap(\boldsymbol{A} \times \boldsymbol{C}) \)
\( \mathbf{A} \cdot \mathbf{8} \)
B. 6
\( c \cdot 2 \)
D.
Subject: Maths
A derivable function \( \boldsymbol{f}: \boldsymbol{R}^{+} \rightarrow \boldsymbol{R} \)
satisfies the condition \( f(x)-f(y) \geq \)
\( \ln \frac{x}{y}+x-y ; \forall x, y \in R^{+} . \) If \( g \) denotes
the derivative of \( f \) then the value of the \( \operatorname{sum} \sum_{n=1}^{100} g\left(\frac{1}{n}\right) \) is \( 1030 k . \) Find the
value of \( k \)
Subject: Physics
A current \( I \) flows in a long single-layer
solenoid with cross-sectional radius \( \boldsymbol{R} \)
The number of turns per unit length of
the solenoid equals \( n \). If the limiting current at which the winding
may rupture if the tensile strength of
the wire is equal to \( \boldsymbol{F}_{\text {lim }} \) is \( \boldsymbol{I}_{\text {lim }}= \) \( \sqrt{\frac{x F_{l i m}}{\mu_{0} n R}} . \) Find \( x \)
Subject: Maths
If \( y=5^{x} x^{5}, \) then \( \frac{d y}{d x} \) is
A \( \cdot 5^{x}\left(x^{5} \log 5-5 x^{4}\right) \)
B . \( x^{5} \log 5-5 x^{4} \)
c. \( x^{5} \log 5+5 x^{4} \)
D. \( 5^{x}\left(x^{5} \log 5+5 x^{4}\right) \)
Subject: Chemistry
\( I_{2} \) dissolve in \( K I \) solution due to
formation of:
\( \mathbf{A} \cdot K I_{2} \) and \( I^{-} \)
B. \( K^{+} ; I^{-} \) and \( I \)
\( c \cdot I_{3}^{-} \)
D. None of the above
Subject: Chemistry
The dissociation constants for acetic
acid and \( H C N \) at \( 25^{\circ} C \) are \( 1.5 \times 10^{-5} \)
and \( 4.5 \times 10^{-10} \) respectively. The
equilibrium constant for the following equilibrium would be:
\[
\begin{array}{r}
C N^{-}+C H_{3} C O O H \rightleftharpoons \\
H C N+C H_{3} C O O^{-}
\end{array}
\]
A \( \cdot 3 \times 10^{4} \)
B. \( 3 \times 10^{5} \)
\( \mathrm{c} \cdot 3 \times 10^{-5} \)
D. \( 3 \times 10^{-4} \)
Subject: Physics
Two masses \( m_{1} \) and \( m_{2} \) are suspended
together by a massless spring of spring
constant \( k \) as shown in the figure. When
the masses are in equilibrium, \( m_{1} \) is
removed without disturbing the system.
Find the angular frequency and
amplitude of oscillation of \( \boldsymbol{m}_{2} \)
A \( \cdot \sqrt{\frac{k}{3 m_{2}}} \)
B. \( \sqrt{\frac{k}{m_{2}}} \)
c. \( \sqrt{\frac{k}{2 m_{2}}} \)
D. \( \sqrt{\frac{k}{4} m_{2}} \)
Subject: Physics
A wheel with 4 spokes is placed with its
plane perpendicular to a uniform magnetic field B of magnitude 0.5 T. The field is directed into the plane of the paper and is present over the entire
region of the wheel as shown in fig. When the switch \( \mathrm{S} \) is closed, there is
initial current of 6 A between the axis
and the rim and the wheel begins to rotate. Resistances of the spokes are 1
2,4 and \( 8 \Omega, \) respectively. Resistance of rim is negligible
If current in \( 1 \Omega \) is \( 2 / X \) A. Find \( X ? \)
Subject: Chemistry
Perhydrol is:
\( \mathbf{A} \cdot 10 \% H_{2} O_{2} \)
B. \( 30 \% \mathrm{H}_{2} \mathrm{O}_{2} \)
\( \mathbf{c} \cdot 3 \% H_{2} O_{2} \)
D. \( 100 \% \mathrm{H}_{2} \mathrm{O}_{2} \)
Subject: Chemistry
\( N_{2}(g)+3 H_{2}(g) \rightleftharpoons 2 N H_{3}(g) \)
For this reaction relate \( \Delta H \) and \( \Delta U \)
A. \( \Delta H=\Delta U \)
в. \( \Delta H>\Delta U \)
c. \( \Delta H<\Delta U \)
D. None of these
Subject: Chemistry
\( \boldsymbol{P h}-\underset{\boldsymbol{O} \boldsymbol{H}}{\boldsymbol{C} \boldsymbol{H}}-\stackrel{\boldsymbol{O}}{\boldsymbol{C}}-\boldsymbol{O H} \)
Correct IUPAC naming of given acid is:
A. 1-hydroxy-1-phenylethanoic acid
B. 2-hydroxy-2-phenylethanoic acid
c. 2-phenyl hydroxy ethanoic acid
D. none of these
Subject: Chemistry
In Alum: \( K_{2} S O_{4} . A l_{2}\left(S o_{4}\right)_{3} .24 H_{2} O \)
Which metal can replace \( \boldsymbol{A l} \)
A \( . C r \)
в. \( M n \)
c. \( I n \)
D. \( S c \)
Subject: Maths
f \( a, b, c \) are real number, then find the
intervals in which \( \boldsymbol{f}(\boldsymbol{x})= \)
\[
\begin{array}{ccc}
\boldsymbol{x}+\boldsymbol{a}^{2} & \boldsymbol{a} \boldsymbol{b} & \boldsymbol{a c} \\
\boldsymbol{a b} & \boldsymbol{x}+\boldsymbol{b}^{2} & \boldsymbol{b c} \\
\boldsymbol{a c} & \boldsymbol{b c} & \boldsymbol{x}+\boldsymbol{c}^{2}
\end{array} \mid
\]
increasing or decreasing
Subject: Physics
Assertion
Two charges \( -q \) each are fixed at points
\( A \) and \( B . \) When a third charge \( -q \) is
moved from \( \boldsymbol{A} \) to \( \boldsymbol{B} \), electrical potential
energy first decreases, then increases.
Reason

Along the line joining \( A \) and \( B \), the third charge is in stable equilibrium position
at centre.
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
From a building two balls \( A \) and \( B \) are thrown such that \( A \) is thrown upwards
and B downwards (both vertically). If \( v_{A} \)
and \( v_{B} \) are their respective velocities on
reaching the ground, then
A \( \cdot v_{A}>v_{B} \)
В. \( v_{A}=v_{B} \)
c. \( v_{A}<v_{B} \)
D. Their velocities depend on their masses
Subject: Chemistry
Three compounds \( (A),(B), \) and \( (C) \) are
given.Which statements are correct about \( (A),(B) \) and \( (C) ? \)
This question has multiple correct options
A. The rate of catalytic hydrogenation is faster in (A) than in
(B) and (C).
B. The rate of catalytic hydrogenation is faster in (B) than in
\( (c) \)
c. (A) has a cyclopropane ring whose strain on going to less-strained cyclopropane ring is reduced on hydrogenation. Similarly, cyclobutene ring in (B) on hydrogenenation is reudced to less-strained cyclobutane ring. But, cyclopropene ring is more strained than cyclobutene ring, so faster hydrogenation is in (A) than in (B).
D. There is a little change in the ring strain when the cyclohexene ring is reduced.
Subject: Physics
Electron-positron pair can be created by \( \gamma \) -rays. In this process the minimum
energy of \( \gamma \) -rays should be :
A. \( 5.0 \mathrm{MeV} \)
в. \( 4.02 \mathrm{MeV} \)
c. \( 15.0 \mathrm{MeV} \)
D. \( 1.02 \mathrm{MeV} \)
Subject: Chemistry
A gas is compressed at a constant
pressure of \( 50 N / m^{2} \) from a volume of
\( 10 m^{3} \) to a volume of \( 4 m^{3} . \) Energy of 100
Jis then added to the gas by heating. Its internal energy is
A. increased by 400
B. increased by 200 J
c. increased by 100 J
D. decreased by 200
Subject: Maths
since the beginning of \( 1990, \) the number of squirrels in a certain wooded area has tripled during every 3-year period of time. If there were 5,400 squirrels in the wooded area at the beginning of \( 1999, \) how many squirrels were in the wooded area at the
beginning of \( 1990 ? \)
A . 50
B. 100
\( c \cdot 200 \)
D. 300
Subject: Biology
Select the option that correctly
identifies the different genera \( (A, B, C \) and D) of Kingdom Fungi shown in figure
A. A - Mucor, B - Saccharomyces, C - Morchedia, D Amanita
B. A - Mucor, B - Saccharomyces, C - Penicillium, D Agaricus
c. A - Rhizopus, B - Sacchaormyces, C - Asperillius, D Morchella
D. A - Aspergillus, B - Rhizopus, C - Penicillium, D Agaricus
Subject: Physics
Suppose the acceleration due to gravity
at the earth's surface is \( 10 \mathrm{m} / \mathrm{s}^{2} \) and at
the surface of mars it is \( 4.0 \mathrm{m} / \mathrm{s}^{2} . \) A
\( 60 \mathrm{kg} \) passenger goes from the earth to the mars in a spaceship moving with a constant velocity. Neglect all other
object in the sky. Which part of the
figure best represent the weight (net gravitational force) of the passenger as a function of time?
\( A \cdot A \)
В. \( B \)
\( D \)
Subject: Maths
\( \int_{\log 2}^{t} \frac{\boldsymbol{d}_{\boldsymbol{X}}}{\sqrt{\boldsymbol{e}^{\boldsymbol{x}}-\mathbf{1}}}=\frac{\boldsymbol{\pi}}{\boldsymbol{6}}, \) then \( \mathbf{t}= \)
\( A \cdot 4 \)
B. \( \log 8 \)
\( c \cdot \log 4 \)
D. \( \log 2 \)
Subject: Physics
Assertion
Distance covered by a moving body is always greater than zero.
Reason
Displacement of a particle can be
greater than or less than or equal to
zero.
A. Both Assertion and Reason are correct and Reason is
the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is
not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct
Subject: Maths
Draw a triangle \( P Q R \) in which \( P Q= \)
\( \mathbf{7} \boldsymbol{c m}, \boldsymbol{Q} \boldsymbol{R}=\mathbf{3} \boldsymbol{c m}, \boldsymbol{R} \boldsymbol{P}=\mathbf{4} \boldsymbol{c m} . \) Is the
construction of triangle possible?
Subject: Biology
Assertion: Growth involves the
synthesis of protoplasmic as well as a
protoplasmic materials.
Reason: During growth, catabolic
activities are faster than anabolic
activities.
A. Both Assertion and Reason are true and Reason is a correct explanation of Assertion
B. Both Assertion and Reason are true but Reason is not a correct explanation of Assertion
C. Assertion is true but Reason is false
D. Both Assertion and Reason are false
E. Assertion is false but reason is true.
Subject: Physics
A certain current on passing through a galvanometer produces a deflection of 100 divisions. When a shunt of one ohm
is connected, the deflection reduces to
1 division. The galvanometer resistance is
A. \( 100 \Omega \)
B. \( 99 \Omega \)
\( c .10 \Omega \)
D. \( 9.9 \Omega \)
Subject: Chemistry
Determine the osmotic pressure of a solution prepared by dissolving 2.5
\( \times 10^{-2} \) of \( K_{2} S O_{4} \) in \( 2 L \) of water at
\( 25^{\circ} \mathrm{C}, \) assuming that it is completely dissociated
\( \left(R=0.0821 \mathrm{L} \operatorname{atm} K^{-1} m o l e^{-1}, \) Molar \right.
\( \operatorname{mass} K_{2} S O_{4}=174 \mathrm{g} \operatorname{mol} e^{-1} \)
Subject: Physics
Let \( \left[\epsilon_{0}\right] \) denote the dimensional formula
of the permittivity of vacuum. If \( \boldsymbol{M}= \) mass, \( \boldsymbol{L}= \) length \( , \boldsymbol{T}=\boldsymbol{t} \) ime and \( \boldsymbol{A}= \)
electric current, then
\( \mathbf{A} \cdot \epsilon_{0}=\left[M^{-1} L^{-3} T^{2} A\right] \)
B . \( \epsilon_{0}=\left[M^{-2} L^{-3} T^{4} A^{2}\right. \)
C \( . \epsilon_{0}=\left[M^{1} L^{2} T^{1} A^{2}\right] \)
D. \( \epsilon_{0}=\left[M^{1} L^{2} T^{1} A\right] \)
Subject: Physics
The sensor is exposed for \( 0.1 s \) to a
\( 200 W \) lamp \( 10 m \) away. The sensor has opening that is 20 mm in a diameter
How many photons enter the sensor if the wavelength of light is 600 mm? (assume that all the energy of the lamp is given off as light).
A . \( 1.53 \times 10^{11} \)
B. \( 1.53 \times 10^{2} \)
c. \( 1.53 \times 10^{4} \)
D. \( 1.53 \times 10^{13} \)
Subject: Maths
If \( \boldsymbol{P}(\boldsymbol{n})=\mathbf{1}^{2}+\mathbf{3}^{2}+\mathbf{5}^{2}+\ldots+ \)
\( (2 n-1)^{2}=\frac{n\left(4 n^{2}-1\right)}{3}, \) then which of
the following does NOT hold good?
\( \mathbf{A} \cdot P(1) \)
B \( \cdot P(2) \)
\( \mathbf{c} \cdot P(3) \)
D. None of these.
Subject: Biology
Which is the correct sequence of cranial
capacities according to increasing
manner?
A. Australopithecus - Homo erectus - Cro magnon man Neanderthal man
B. Homo erectus Ramapithecus Homo habilis Neanderthal man
C. Australopithecus - Homo habilis - Homo erectus Neanderthal man
D. Cro-Magnon man- Dryopithecus - Heidelberg man Neanderthal man
Subject: Chemistry
The difference of \( \Delta H-\Delta U \) for the
given reaction is \( \Delta n_{g} R T . \) The value of
\( \Delta n_{g} \) is
\( C_{6} H_{12} O_{6(s)}+6 O_{2(g)} \longrightarrow+6 C O_{2(g)}+ \)
\( \mathbf{6} \boldsymbol{H}_{2} \boldsymbol{O}_{(\boldsymbol{v})} \)
Subject: Chemistry
Sodium salt \( (A) \) of a dibasic acid \( \stackrel{H C l}{ } \)
gas\( (B) \) and clear solution

Gas \( (B) \) turns lime water milky. Identify
\( (A) \)
A. Sodium carbonate
B. Sodium sulphate
c. Sodium oxalate
D. Sodium nitride
Subject: Chemistry
The number of sigma and pi bonds in
the structure:
\( \boldsymbol{C H}_{2}=\boldsymbol{C H}-\boldsymbol{C} \equiv \boldsymbol{C H} \)
A. 7 and 3
B. 6 and 2
\( c \cdot 4 \) and 3
D. All are sigma bonds
Subject: Physics
According to Bohr's model of the atom, atoms emit or absorb radiation only at certain wavelengths.ldentify why is it so
A. Because the protons and electrons are distributed evenly throughout the atom
B. Because electrons can orbit the nucleus at any radius
c. Because electrons orbit the nucleus only at certain discrete radii
D. Because protons orbit the nucleus only at certain discrete radii
E. Because photons can only have discrete wavelength
Subject: Physics
Which of the following circular rods (given radius \( r \) and length I), each made of the same material and whose ends
are maintained at the same
temperature will conduct most heat?
A. \( r=r_{0} ; l=l_{0} \)
B . \( r=2 r_{0} ; l=l_{0} \)
c. \( r=r_{0} ; l=2 l_{0} \)
D \( \cdot r=2 r_{0} ; l=2 l_{0} \)
Subject: Biology
Assertion
Slime moulds are excellent material for
the study of protoplasm.
Reason

They lack cell organelles.
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
The number of values of k for which the
system of linear equations, \( (2 k+ \)
1) \( x+5 k y=k+2 \) and \( k x+(k+ \)
2) \( y=2 \) has no solution, is:
A. Infinitely many
B. 3
\( c .1 \)
D. 2
Subject: Chemistry
Which of the following statements
is/are correct?
This question has multiple correct options
A. The common name of benzene- 1,2 -diol is catechol
B. The common name of benzene- 1,3 -diol is resorcinol.
C. The common name of benzene- 1,4 -diol is quinol,
D. The common name of benzene- 1,4 -diol is hydroquinone