AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
Let \( P(n) \) be a statement and \( P(n)= \) \( \boldsymbol{P}(\boldsymbol{n}+\mathbf{1}) \forall \boldsymbol{n} \in \boldsymbol{N}, \) then \( \boldsymbol{P}(\boldsymbol{n}) \) is true for
what values of \( n ? \)
A. For all \( n \)
B. For all \( n>1 \)
c. For all \( n>m, m \) being a fixed positive integer
D. Nothing can be said
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{cr}\mathbf{2} & \mathbf{3} \\ -\mathbf{1} & \mathbf{4}\end{array}\right] \) and \( \boldsymbol{B}=\left[\begin{array}{cc}-\mathbf{3} & \mathbf{1} \\ \mathbf{4} & -\mathbf{2}\end{array}\right] \)
then find \( \boldsymbol{A}-\boldsymbol{B} \)
Subject: Maths
The figure shows a solid of uniform cross-section. Find the volume of the
solid. All measurements are in
centimetre. Assume that all angles in
figure are right angles.
\( A \cdot 180 \mathrm{cm}^{3} \)
3. \( 108 \mathrm{cm}^{3} \)
\( c \cdot 188 c m^{3} \)
) \( .118 \mathrm{cm}^{3} \)
Subject: Maths
f \( a, b, c, d \) are in G.P., show that
\( \mathbf{i}) \boldsymbol{a}^{2}+\boldsymbol{b}^{2}, \boldsymbol{b}^{2}+\boldsymbol{c}^{2}, \boldsymbol{c}^{2}+\boldsymbol{d}^{2} \) are in G.P
Subject: Maths
An examination consists of 8 questions in each of which the candidate must
say which one of the 5 alternatives is
correct one. Assuming that the student has not prepared earlier choose for each
of the question any one of 5 answer with equal probability.
(i) Prove that the probability that he gets more than one correct answer is
\( \left(5^{8}-3 \times 4^{8}\right) / 5^{8} \)
(ii) Find the probability that he gets
correct answer to \( x \) or more questions.
(iii) Find the standard deviation of this
distribution.
Subject: Maths
Show that the points are collinear
(1)
\( \boldsymbol{A}(\mathbf{3}, \mathbf{2},-\mathbf{4}), \boldsymbol{B}(\mathbf{9}, \mathbf{8},-\mathbf{1 0}), \boldsymbol{C}(-\mathbf{2},-\mathbf{3}, \mathbf{1}) \)
Subject: Physics
If the equation of a standing wave is given by \( y=6 \sin \pi x \cos 100 \pi t, \) the
equation of the component waves are
A \( . y=3 \sin (\pi x+50 \pi t) \) and \( 3 \sin (\pi x-50 \pi t) \)
B. \( y=3 \sin (\pi x+100 \pi t) \) and \( 3 \sin (\pi x-100 \pi t) \)
c. \( y=6 \sin (\pi x+100 \pi t) \) and \( 6 \sin (\pi x-100 \pi t) \)
D. \( y=6 \sin (\pi x+50 \pi t) \) and \( 6 \sin (\pi x-50 \pi t) \)
Subject: Physics
A wave equation which gives the displacement along the y-direction is given by \( \boldsymbol{y}=\mathbf{1 0} \sin (\mathbf{6 0} t+\mathbf{2} \boldsymbol{x}) \) where \( \boldsymbol{x} \)
and \( y \) are in metres and \( t \) is time in
seconds. This represents a wave This question has multiple correct options
A. travelling with a velocity of \( 30 \mathrm{m} / \mathrm{s} \) in the negative \( x- \) direction
B. of wavelength \( \pi \mathrm{m} \)
c. of frequency \( \frac{30}{\pi} H \)
D. of amplitude \( 10 m \)
Subject: Physics
Follwing operation are carried out on a sample of ideal gas initially at pressure \( \mathrm{P} \) volume \( V \) and kelvin temperature \( T \)
a) At constant volume, the pressure is increased fourfold.
b) At constant pressure, the volume is
doubled
c) The volume is doubled and pressure
halved.
d) If heated in a vessel open to
atmosphere, one-fourth of the gas escapes from the vessel.

Arrange the above operations in the increasing order of final temperature.
A. \( a, b, c, d \)
B. \( c, b, a, d \)
\( c \cdot b, a, d, c \)
D. \( \mathrm{c}, \mathrm{d}, \mathrm{b} \),
Subject: Chemistry
For \( Z n^{2+}, N i^{2+}, C u, \) and \( C r^{2+} \) which of
the following statements is correct?
A. only \( Z n^{2+} \) is colourless and \( N i^{2+}, C u^{2+} \) and \( C r \) are coloured
B. All the ions are coloured
c. All the ions are colourless
D. \( Z n^{2+} \) and \( C u^{2+} \) are colourless while \( N i^{2+} \) and \( C r^{2+} \) are coloured
Subject: Maths
A bag contains 5 balls of unknown colors, two balls are drawn at random
from the bag and are found to be red. The probability that the bag contains exactly 4 red balls is.
A \( \cdot \frac{3}{5} \)
B. \( \frac{3}{10} \)
c. \( \frac{5}{13} \)
D. \( \frac{4}{13} \)
Subject: Physics
A barometer is constructed with its
tube having radius \( 1.0 \mathrm{mm} \). Assume
that the surface of mercury in the tube is spherical in shape. If the atmospheric pressure is equal to \( 76 \mathrm{cm} \) of mercury, what will be the height raised in the barometer tube? The contact angle of
mercury with glass \( =135^{\circ} \) and surface
tension of mercury \( =0.465 \mathrm{N} m^{-1} \)
Density of mercury \( =13600 \mathrm{kg} m^{-3} \)
Subject: Physics
A thin metallic spherical shell contains
a charge \( Q \) on its surface. A point
charge \( q_{1} \) is placed at the center of the
shell, and another charge \( q_{2} \) is placed
outside the shell. All the three charges
are positive. Then the force on charge \( \boldsymbol{q}_{1} \)
is :
A. toward right
B. toward left
c. zero
of these
Subject: Chemistry
Which radical is most likely to form by the homolytic fission of one covalent bond in bromochloromethane,
\( \boldsymbol{C H}_{2} \boldsymbol{B r C l} \) ?
\( A \cdot \cdot C H_{2} C l \)
В \( \ldots C H_{2} B r \)
\( \mathbf{c} \cdot \boldsymbol{c} C H B r C l \)
\( \mathrm{D} \cdot \cdot \mathrm{CH}_{2} \mathrm{BrCl} \)
Subject: Biology
Assertion
Adrenal medullary hormones help in combating the stress condition.
Reason
Both adrenaline and noradrenaline act
on same organs and produce similar effects.
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
As shown in the figure, a bob of mass \( m \)
is tied by a massless string whose other
end portion is wound on a fly whee
(disc) of radius \( r \) and mass \( m . \) When
released from rest the bob starts falling
vertically. When it has covered a
distance of \( h, \) the angular speed of the
wheel will be:
\( \mathbf{A} \cdot r \sqrt{\frac{3}{4 g h}} \)
B. \( \frac{1}{r} \sqrt{\frac{4 g h}{3}} \)
\( c \cdot r \sqrt{\frac{3}{2 g h}} \)
D. \( \frac{1}{r} \sqrt{\frac{2 g h}{3}} \)
Subject: Chemistry
Which of the following equations is not
shown by the appropriate halogen?
\( \mathbf{A} \cdot F_{2}+2 O H^{-} \)solution\( \rightarrow 2 F^{-}+H_{2} O+O F_{2} \)
B \( \cdot 2 F_{2}+4 O H^{-} \) conc \( \stackrel{\text {hot}}{\longrightarrow} 4 F^{-}+2 H_{2} O+O_{2} \)
\( \mathbf{c} \cdot X_{2}+2 O H^{-} \operatorname{conc} \stackrel{\text {hot}}{\longrightarrow} H_{2} O+X^{-}+X O^{-} \) where \( X \) is \( \mathrm{Cl} \)
Br and
\( \mathbf{D} \cdot X e F_{4} \)
Subject: Maths
Twelve players \( S_{1}, S_{2}, \dots, S_{12} \) play in a chess tournament. They are divided into
six pairs at random. From each pair a winner is decided. It is assumed that all
players are of equal strength. The probability that exactly one of \( S_{1} \) and \( S_{2} \) is among the six winners is
A \( \cdot \frac{6}{11} \)
в. \( \frac{5}{11} \)
c. \( \frac{4}{11} \)
D. None of these
Subject: Physics
De Broglie theorized that all moving objects emit waves (matter waves) based on their momentum \( \left(\frac{\boldsymbol{h}}{\boldsymbol{m v}}\right) \) Accordingly, as your team's defensive end, it is your job to stop the other team's 250 pound fullback. If you could hear the fullback's matter waves and
you listened as the opposing fullback
received the ball and accelerated
toward you, what sound would you hear?
A. An increase in loudness and an increase in frequency
B. An increase in loudness and a decrease in frequency
c. A decreasing loudness and an increasing frequency
D. A decreasing loudness and a decreasing frequency
E. Just a loud thump! thump! thump!
Subject: Maths
\( \operatorname{Let} g(x)=\frac{f(x)}{x+1} \) where \( f(x) \) is
differentiable on [0,5] such that
\( \boldsymbol{f}(\mathbf{0})=\mathbf{4}, \boldsymbol{f}(\mathbf{5})=-1 . \) There exists \( \boldsymbol{c} \in \)
(0,5) such that \( g^{\prime}(c) \) is ?
\( A \cdot-\frac{1}{6} \)
B. \( \frac{1}{6} \)
c. \( -\frac{5}{6} \)
D. -
Subject: Chemistry
The complex ion \( \left[\boldsymbol{C o}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{5}(\boldsymbol{O} \boldsymbol{N} \boldsymbol{O})\right]^{2+} \)
and \( \left[\boldsymbol{C o}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{5} \boldsymbol{N} \boldsymbol{O}_{2}\right]^{2+} \) are called
A. linkage isomer
B. ionization isomer
c. co-ordination isomer
D. geometrical isomer
Subject: Chemistry
Solution \( A, B \) and \( C \) of the same strong electrolyte offered resistances of
\( 50 \Omega, 100 \Omega, \) and \( 150 \Omega \) in a given conductivity cell. The resistance observed if they are mixed in a volume proportion which is reciprocal of their resistances and tested in the same
conductivity cell would be:
A . \( 67.3 \Omega \)
B. \( 81.8 \Omega \)
c. \( 100 \Omega \)
D. \( 300 \Omega \)
Subject: Maths
A certain vector in the \( x y \) plane has an
\( x \) component of \( 4 m \) and a \( y \) component
of \( 10 m . \) It is then rotated in the \( x y \)
plane so that its \( x \) -component is doubled. Then its new \( y \) component is (approximately):
A. \( 20 m \)
B. \( 7.2 m \)
c. \( 5.0 m \)
D. \( 4.5 m \)
Subject: Maths
Let \( P(n): n^{2}+n \) is an odd integer. It is
seen that truth of \( P(n) \Rightarrow \) the truth of \( P(n+1) . \) Therefore, \( P(n) \) is true for all
\( A \cdot n>1 \)
B.
\( c \cdot n>2 \)
D. none of these
Subject: Chemistry
Extraction of gold \( (A u) \) involves the
formation of complex ions ' \( X^{\prime} \) and ' \( Y \) '.
\[
\begin{array}{r}
\text { Gold ore } \frac{\text { Roasting }}{\mathbf{C N}^{-}, \mathbf{H}_{2} \mathbf{O}, \mathbf{O}_{2}} \text { , } \mathbf{H} \boldsymbol{O}^{-}+^{\prime} \\
\boldsymbol{Z} \boldsymbol{n} \quad \boldsymbol{Y}^{\prime}+\boldsymbol{A} \boldsymbol{u}
\end{array}
\]
\( X^{\prime} \) and ' \( Y^{\prime} \) are respectively
A \( \cdot A u(C N)_{2}^{-} \) and \( Z n(C N)_{4}^{2} \)
B . \( A u(C N)_{4}^{3-} \) and \( Z n(C N)_{4}^{2} \)
C \( \cdot \operatorname{Au}(C N)_{3}^{-} \) and \( Z n(C N)_{6}^{4} \)
D. \( A u(C N)_{4}^{-} \) and \( Z n(C N)_{3} \)
Subject: Maths
The angles of a triangle are in the ratio
of \( 1: 2: 3 . \) Find the measure of each
angle of the triangle
A \( \cdot 30^{\circ}, 60^{\circ}, 90^{\circ} \)
B . \( 20^{\circ}, 60^{\circ}, 90^{\circ} \)
c. \( 30^{\circ}, 30^{\circ}, 90^{\circ} \)
D. None of these
Subject: Maths
Express the following as a rational number i.e. in the form \( \frac{a}{b} ; \) where \( a, b \in I \) and \( \boldsymbol{b} \neq \mathbf{0} \)
\( \mathbf{0 . 7} \overline{\mathbf{1}} \)
A \( \cdot \frac{22}{45} \)
в. \( \frac{32}{45} \)
c. \( \frac{16}{45} \)
D. \( \frac{19}{45} \)
Subject: Chemistry
How many grams of \( N a_{2} S O_{4} \) can be
produced by reacting \( 98 ~ g H_{2} S O_{4} \) with 40 g \( N a O H ? \)
A . 18 g
B . \( 36 g \)
c. \( 71 \mathrm{g} \)
D. \( 142 \mathrm{g} \)
E . \( 150 \mathrm{g} \)
Subject: Physics
Several spherical drops of a liquid of radius coalesce to form a single drop to
radius \( R \). If the surface tension and \( V \) is
volume and \( r \) consideration, then the
release of energy is :
\( ^{\mathbf{A}} \cdot_{3 V T}\left(\frac{1}{r}+\frac{1}{R}\right) \)
B. \( \quad 3 V T\left(\frac{1}{r}-\frac{1}{R}\right) \)
\( ^{\mathrm{c}} \cdot_{V T}\left(\frac{1}{r}-\frac{1}{R}\right) \)
D. \( V T\left(\frac{1}{r^{2}}+\frac{1}{R^{2}}\right) \)
Subject: Maths
If the standard deviation of the numbers
\( -1,0,1, k \) is \( \sqrt{5} \) where \( k>0, \) then \( k \) is
equal to?
A \( \cdot 2 \sqrt{\frac{10}{3}} \)
в. \( 2 \sqrt{6} \)
c. \( 4 \sqrt{\frac{5}{3}} \)
D. \( \sqrt{6} \)
Subject: Physics
Two convex lenses of focal length \( 0.3 \mathrm{m} \)
and \( 0.05 \mathrm{m} \) are used to make a
telescope. The distance kept between
them is equal to
A . \( 0.35 \mathrm{m} \)
B. 0.25 \( m \)
\( c .0 .175 \mathrm{m} \)
D. 0.15 \( m \)
Subject: Maths
Let \( x_{1}, x_{2}, \dots . . x_{n} \) be values taken by a
variable \( \boldsymbol{X} \) and \( \boldsymbol{y}_{1}, \boldsymbol{y}_{2}, \dots \dots \boldsymbol{y}_{n} \) be the
values taken by variable \( Y \) such that
\( \boldsymbol{y}_{i}=\boldsymbol{a} \boldsymbol{x}_{i}+\boldsymbol{b} ; \quad \boldsymbol{i}=\mathbf{1}, \boldsymbol{2}, \ldots \boldsymbol{n} . \) Then
A \( . \operatorname{Var}(Y)=a^{2} \operatorname{Var}(X) \)
B. \( \operatorname{Var}(X)=a^{2} \operatorname{Var}(Y) \)
c. \( \operatorname{Var}(X)=\operatorname{Var}(X)+b \)
D. none of these
Subject: Chemistry
A monobasic acid A has neutralization
equivalent 116 and does not decolorize Bayer's regent. Also, A is enantiomeric.
A on treatment with \( B r_{2} / r e d \) phosphorus produces B which is still resolvable. B on dehydrobromination produced C which shows stereoisomerism \( C \) on decarboxylation produced. D which does not show stereoisomerism. Deduce structures of
\( A, B, C, \) and \( D \)
Subject: Maths
Let \( S \) be the set of all real values of \( \lambda \)
such that a plane passing through the points \( \left(-\lambda^{2}, 1,1\right),\left(1,-\lambda^{2}, 1\right) \) and
\( \left(1,1,-\lambda^{2}\right) \) also passes through the point \( (-1,-1,1) . \) Then \( S \) is equal to:
A \( \cdot(\sqrt{3}) \)
B. \( \{\sqrt{3}-\sqrt{3}\} \)
\begin{tabular}{l} 
c. \{1,-1\} \\
\hline
\end{tabular}
D. \{3,-3\}
Subject: Physics
The cable of an electric fan becomes so
worn that the live wire makes electrical
contact with the metal case The case is
earthed The plug to the fan contains a 5 A fuse There is a current of 4 A when the
fan works normally What will happen in
this case?
A. The current will run to earth and the fuse will not be affected
B. The metal case will become very hot
c. The metal case will become live and dangerous
D. The fuse will melt and switch off the circuit
Subject: Physics
(A) Estimate the speed with which electrons emitted from a heated emitter
of an evacuated tube impinge on the collector maintained at a potential difference of \( 500 \mathrm{V} \) with respect to the emitter. Ignore the small initial speeds of the electrons. The specific charge of the electron, i.e., its e/m is given to be \( 1.76 \times 10^{11} C k g^{-1} \)
(B) Use the same formula you employ in
(a) to obtain electron speed for a collector potential of \( 10 \mathrm{MV} \). Do you see what is wrong? In what way is the formula to be modified?
Subject: Physics
An uncharged conducting sphere of radius \( 2 R \) is joined to a charged
conducting sphere of radius \( R \) carrying
charge \( Q . \) The charge which flows between them is:
A \( \cdot \frac{Q}{3} \)
в. \( \frac{Q}{4} \)
c. \( \frac{Q}{5} \)
D. \( \frac{Q}{2} \)
Subject: Chemistry
Assertion
\( N C l_{3} \) undergoes hydrolysis
Reason
Chlorine possesses vacant ' \( d \) orbitals
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 rope ladder with a length 1 m carrying
a man with a mass \( m \) at its end is
attached to the basket of a balloon with
a mass M. The entire system is in
equilibrium in the air. As the man climbs up the ladder into the balloon,
the balloon descends by a height \( h \). Then the potential energy of the man (in \( J \) ):
A. increases by \( m g(1-h) \)
B. increases by \( m g l \)
c. increases by \( m g h \)
D. increases by \( m g(21-h) \)
Subject: Physics
Dimensions of 'ohm' are same as that
of:
(Given \( : h \) is Planck's constant and \( e \) is
charge)
\( A \cdot \frac{h}{e} \)
в. \( \frac{h^{2}}{e} \)
\( c \cdot \frac{h}{e^{2}} \)
D. \( \frac{h^{2}}{e^{2}} \)
Subject: Chemistry
The complete balanced equation is:
\( M n O_{2}+H_{2} O_{2} \rightarrow M n O_{4}^{-}+H_{2} O \)
(Basic medium)
A \( \cdot 3 \mathrm{H}_{2} \mathrm{O}_{2}+2 \mathrm{MnO}_{2}+2 \mathrm{OH}^{-} \rightarrow 2 \mathrm{MnO}_{4}^{-}+4 \mathrm{H}_{2} \mathrm{O} \)
B. \( 3 H_{2} O_{2}+M n O_{2}+3 O H^{-} \rightarrow 2 M n O_{4}^{-}+5 H_{2} O \)
\( \mathrm{c} \cdot \mathrm{H}_{2} \mathrm{O}_{2}+2 \mathrm{MnO}_{2}+\mathrm{OH}^{-} \rightarrow 2 \mathrm{MnO}_{4}^{-}+4 \mathrm{H}_{2} \mathrm{O} \)
D. none of these
Subject: Chemistry
The rate constant for a first order
reaction is \( 7.0 \times 10^{-4} s^{-1} . \) If initial
concentration of reactant is \( 0.080 M \)
what is the half life of reaction?
\( \mathbf{A} \cdot 990 s \)
B . \( 79.2 s \)
c. 12375 s
D. \( 10.10 \times 10^{-4} \mathrm{s} \)
Subject: Physics
A long straight wire of radius R carries a
steady current \( I_{o}, \) uniformly distributed throughout the cross-section of the wire. The magnetic field at a radial distance r from the centre of the wire, in
the region \( r>R \), is?
A \( \cdot \frac{\mu_{o} I_{o}}{2 \pi r} \)
В \( \cdot \frac{\mu_{o} I_{o}}{2 \pi R} \)
\( ^{\mathbf{C}} \cdot \frac{\mu_{o} I_{o} R^{2}}{2 \pi r} \)
D. \( \frac{\mu_{o} I_{o} r^{2}}{2 \pi R} \)
E \( \cdot \frac{\mu_{o} I_{o} r^{2}}{2 \pi R^{2}} \)
Subject: Physics
Consider two concentric spherical
metal shells of radii \( r_{1} \) and \( r_{2}\left(r_{2}>r_{1}\right) \)
If the outer shell has a charge q and the inner one is grounded, the charge on the
inner shell is :
A \( \cdot \frac{-r_{2}}{r_{1}} q \)
B. Zero
c. \( \frac{-r_{1}}{r_{2}} q \)
D. \( -q \)
Subject: Chemistry
\( K M n O_{4} \) can be prepared from
\( K_{2} M n O_{4} \) as per the reaction:
\( \mathbf{3} M n O_{4}^{2-}+2 H_{2} O \rightleftharpoons 2 M n O_{4}^{-}+ \)
\( M n O_{2}+4 O H^{-} \)
The reaction can go to completion by
removing \( \boldsymbol{O H}^{-} \) ions by adding:
A. \( H C l \)
в. КОН
\( \mathrm{c} \cdot \mathrm{CO}_{2} \)
D. \( S O_{2} \)
Subject: Physics
A charged ball B hangs from a silk
thread \( S \) which makes an angle \( \theta \) with a
arge charged conducting sheet \( \mathrm{P} \) as shown in the given figure. The surface charge density \( \sigma \) of the sheet is
proportional to :
\( A \cdot \cos \theta \)
B \( \cdot \cot \theta \)
\( c \cdot \sin \theta \)
D. \( \tan \theta \)
Subject: Maths
A point \( P \) divides the line segment joining the points \( \boldsymbol{A}(\mathbf{3},-\mathbf{5}) \) and \( B(-4,8) \) such that \( \frac{A P}{P B}=\frac{K}{1} . \) If \( P \) lies
on the line \( x+y=0, \) then find the
value of \( k \)
Subject: Physics
The phase difference between two
points is \( \pi / 3 \) and they are 5 mm apart. The frequency of the wave is 300 Hz. The velocity of the wave is
\( A \cdot 5 \mathrm{m} / \mathrm{s} \)
B. 20 \( \mathrm{m} / \mathrm{s} \)
\( c \cdot 9 m / s \)
D. \( 90 \mathrm{m} / \mathrm{s} \)
Subject: Maths
Suppose \( x_{1} \& x_{2} \) are the point of
maximum and the point of minimum respectively of the function \( f(x)= \) \( 22 x^{3}-9 a x^{2}+12 a^{2} x+1 \) respectively
then for the equality \( x_{1}^{2}=x_{2} \) to be true
the value of \( ^{\prime} a^{\prime} \) must be
A . 0
в. \( \quad a=\frac{3+\sqrt{5}}{(3-\sqrt{5})} \)
c. \( _{a}=\frac{3+\sqrt{5}}{(3-\sqrt{5})^{2}} \)
D. None of these
Subject: Maths
One side of a parallelogram is \( 8 \mathrm{cm} . \) If the corresponding altitude is \( 6 \mathrm{cm}, \) then its area is given by
A \( .24 \mathrm{cm}^{2} \)
B. 36 \( c m^{2} \)
\( c \cdot 40 c m^{2} \)
D. \( 48 \mathrm{cm}^{2} \)
Subject: Chemistry
STATEMENT-1: Formation of water gas
is endothermic reaction.

STATEMENT-2: To prevent unwanted
reaction, hot air \( \& \) steam are
introduced into the
generator alternatively.
A. STATEMENT-1 is True, STATEMENT-2 is True:
STATEMENT-2 is a correct explanation for STATEMENT-
1
B. STATEMENT-1 is True, STATEMENT-2 is True:
STATEMENT-2 is NOT a correct explanation for STATEMENT-1
c. STATEMENT-1 is True, STATEMENT-2 is False
D. STATEMENT-1 is False, STATEMENT-2 is True
Subject: Chemistry
I. The ideal gas law can be applied to a
sample of xenon at a temperature of
\( -273^{\circ} C \)
II. Xenon is a noble gas.
A. Statement \( I \) is true, Statement \( I I \) is true
B. Statement I is true, Statement \( I I \) is false
c. statement \( I \) is false, statement \( I I \) is true
D. Statement I is true, Statement \( I I \) is true and is a correct explanation of the phenomena described in \( I \)
Subject: Biology
The given table shows properties of four
cells systems \( A, B, C \) and \( D . \) The maximum rate of inward diffusion of
water will be observed in which of these
systems?
\begin{tabular}{lll} 
System & Intracellular concentration of water & Extracellular concentration of water \\
\hline \( \mathrm{A} \) & \( 0.09 \mathrm{M} \) & \( 0.11 \mathrm{M} \) \\
\( \mathrm{B} \) & \( 0.2 \mathrm{M} \) & \( 0.5 \mathrm{M} \) \\
\( \mathrm{C} \) & \( 0.05 \mathrm{M} \) & \( 0.6 \mathrm{M} \) \\
\( \mathrm{D} \) & \( 0.03 \mathrm{M} \) & \( 0.7 \mathrm{M} \)
\end{tabular}
A. System A
B. System B
c. system
D. System D
Subject: Chemistry
On the basis of information available for
the reaction:
\( \frac{4}{3} A l+O_{2} \rightarrow \frac{2}{3} A l_{2} O_{3} ; \triangle G= \)
\( -827 k J / m o l \) of \( O_{2} \)
the minimum emf required to carry out
an electrolysis of \( A l_{2} O_{3} \) is:
(Given: \( 1 \boldsymbol{F}=\mathbf{9 6 5 0 0} \boldsymbol{C}) \)
A \( .2 .14 V \)
в. \( 4.28 \mathrm{V} \)
c. \( 6.42 V \)
D. \( 8.56 V \)
Subject: Physics
Two particles of equal charges after being accelerated through the same potential difference enter in a uniform transverse magnetic field and describe
circular paths of radii \( \boldsymbol{R}_{1} \) and \( \boldsymbol{R}_{2} . \) Then
the ratio of their respective masses
\( \left(M_{1} / M_{2}\right) \) is
\( \mathbf{A} \cdot R_{1} / R_{2} \)
B. \( \left(R_{1} / R_{2}\right)^{2} \)
c. \( \left(R_{2} / R_{1}\right) \)
as
D. \( \left(R_{2} / R_{1}\right)^{2} \)
Subject: Maths
Subtract the second expression from
the first:
\( 5 x^{2}+4 y^{2}-6 y+8 \) and \( x^{2}-5 y^{2}+ \)
\( 2 x y+3 y-10 \)
A \( \cdot 4 x y^{2}+9 x y^{2}+9 y-2 y+12 \)
В. \( 4 x^{y}+9 y^{3}+9 y+2 x y+18 \)
c. \( 4 x^{2}+9 y^{2}-9 y-2 x y+18 \)
D. \( x^{2}+9 y^{2}-9 y-2 x y+12 \)
Subject: Maths
If \( \boldsymbol{y}=|\cos \boldsymbol{x}|+|\sin \boldsymbol{x}|, \) then \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \) at \( \boldsymbol{x}= \)
\( \frac{2 \pi}{3} \) is
A \( \cdot \frac{1-\sqrt{3}}{2} \)
B.
c. \( \frac{\sqrt{3}-1}{2} \)
D. None of these
Subject: Maths
Number of points having distance \( \sqrt{\mathbf{5}} \)
from the straight line \( x-2 y+1=0 \)
and a distance \( \sqrt{13} \) from the line \( 2 x+ \)
\( \mathbf{3} \boldsymbol{y}-\mathbf{1}=\mathbf{0}, \) is /are?
A . 1
B . 2
\( c \cdot 4 \)
D. 5
Subject: Chemistry
The oxide of a metal (R) can be reduced by the metal (P) and metal (R) can
reduce the oxide of metal (Q). Then the
decreasing order of the reactivity of metal (P), (Q) and (R) with oxygen is :
\( A \cdot P>Q>R \)
B. P>R > Q
c. \( R>P>Q \)
D. \( Q>P>R \)
Subject: Chemistry
Assertion
\( \boldsymbol{K}_{\boldsymbol{p}}=\boldsymbol{K}_{c} \) for all reactions. BECAUSE
Reason
\( \boldsymbol{K}_{\boldsymbol{p}} \) and \( \boldsymbol{K}_{\boldsymbol{c}} \) are interrelated by the
equation \( \boldsymbol{K}_{\boldsymbol{p}}=\boldsymbol{K}_{c}(\boldsymbol{R} \boldsymbol{T})^{\boldsymbol{\Delta} \boldsymbol{n}} \)
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 10 watt electric heater is used to heat
a container filled with 0.5 kg of water. It
is found that the temperature of water
and the container rises by \( 3^{\circ} \mathrm{K} \) in 15 minutes. The contain \( r \) is then emptied,
dried and filled with 2 kg of oil. The same heater now raises the
temperature of container-oil system by \( 2^{o} \mathrm{K} \) in 20 minutes. Assuming that there is no heat loss in the process and the specific heat of water as 4200 \( J k g^{-1} K^{-1}, \) the specific heat of oil in the same unit is equal to
A \( \cdot 1.50 \times 10^{3} \)
B. \( 2.55 \times 10^{3} \)
c. \( 3.00 \times 10^{3} \)
D. \( 5.10 \times 10^{3} \)