AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Identify \( X \) in the reaction.
\( \boldsymbol{C H} \boldsymbol{C l}_{3} \frac{\boldsymbol{S b F}_{3}}{H \boldsymbol{F}} \boldsymbol{C H} \boldsymbol{F}_{2} \boldsymbol{C l}^{\underline{1070} \boldsymbol{K}}(\boldsymbol{X})+ \)
\( \mathbf{2} \boldsymbol{H} \boldsymbol{C l} \)
\( \mathbf{A} \cdot F_{2} C=C F_{2} \)
в. \( C l F C=C F C l \)
c. \( F_{2} C=C F C l \)
D. \( F_{2} C=C C l_{2} \)
Subject: Physics
A beam of natural light falls on a
system of 6 Polaroids, which are arranged in succession such that each
of the Polaroid is turned through \( 30^{\circ} \) with respect to the proceeding the one. The percentage of incident intensity that passes through the system will be:
\( \mathbf{A} \cdot 100 \% \)
B. \( 50 \% \)
\( c .30 \% \)
D. \( 12 \% \)
Subject: Maths
The probabilities of \( x, y \) and \( z \) becoming manager are \( \frac{4}{9}, \frac{2}{9} \& \frac{1}{3} \) respectively. The probabilities that the bonus scheme will be introduced if \( x, y \) and \( z \) become managers are \( \frac{3}{10}, \frac{1}{2} \& \frac{2}{5} \) respectively. Find
(i) What is the probatility that the bonus scheme will be introduced? (ii) if
the bonus scheme has teen introduced,
What is the probability that the manager appointed wax \( x ? \)
Subject: Maths
If \( A \& B \) are two given events, then
\( \boldsymbol{P}(\boldsymbol{A} \cap \boldsymbol{B}) \) is
A. Not less than \( P(A)+P(B)-1 \)
B. Not greater than \( P(A)+P(B)-P(A \cup B) \)
C . Equal to \( P(A)+P(B)+P(A \cap B) \)
D. Equal to \( P(A)+P(B)+P(A \cup B) \)
Subject: Biology
One green house gas contributes \( 14 \% \) to total global warming and another contributes \( 6 \% . \) These are respectively
identified as
A. \( N O_{2} \) and \( C O_{2} \)
B. CFC and \( N_{2} \) O
c. Methane and \( C O_{2} \)
D. Methane and CFCs
E. cres and \( C O_{2} \)
Subject: Chemistry
\( 2 K_{2} C r_{2} O_{7}+8 H_{2} S O_{4} \rightarrow 2 K_{2} S O_{4}+ \)
\( 2 C r_{2}\left(S O_{4}\right)_{3}+8 H_{2} O+3 O_{2} \)
Is the above reaction correct?
A. True
B. False
Subject: Chemistry
Assertion
lonic radii of Ta and Nb are same
Reason
The lanthanide contraction cancels
almost exactly the normal size increase on descending a group of transition
elements
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
If the slopes of the lines given by the equation \( 24 x^{3}-a x^{2} y+26 x y^{2}- \)
\( 3 y^{3}=0 \) are in G.P., p is the greatest
perpendicular distance of the point (1,1) from these lines, then \( a^{2}+37 p^{2} \) is
equal to
Subject: Physics
The electric dipole is placed along the \( x \)
axis at the origin \( O . A \) point \( P \) is at a
distance of \( 20 \mathrm{cm} \) from this origin such
that \( O P \) makes an angle \( 60^{\circ} \) with the \( x \)
axis. If the electric field at \( P \) makes an
angle \( \theta \) with the \( x \) -axis, the value of \( \theta \)
would be
A \( \cdot \frac{\pi}{3} \)
B. \( \tan ^{-1} \frac{\sqrt{3}}{2} \)
c. \( \frac{2 \pi}{3} \)
D. \( \frac{\pi}{3}+\tan ^{-1} \frac{\sqrt{3}}{2} \)
Subject: Chemistry
Ammonia, \( N H_{3} \) and hydrazine,
\( N H_{2} N H_{2}, \) are two compounds of nitrogen, \( N_{2} . \) Which statement is
correct?
A. The N-N bond in \( N H_{2} N H_{2} \) is polar
B. \( N H_{3} \) and \( N H_{2} N H_{2} \) have lone pairs of electrons but \( N_{2} \) does not
C. The oxidation number of each nitrogen in \( N H_{2} N H_{2} \) is +2
D. The reaction of nitrogen with hydrogen has a highth activation energy
Subject: Maths
\( A B C \) is a triangle in which \( \angle B=2 \angle C . D \)
is a point on BC such that AD bisects \( \angle B A C \) and \( A B=C D . \) Find \( \angle B A C \)
A \( .72^{\circ} \)
\( ^{0} \)
B. \( 36^{\circ} \)
\( c \cdot 108^{\circ} \)
D. \( 90^{\circ} \)
Subject: Maths
If \( \vec{r} . \hat{\boldsymbol{i}}=\overrightarrow{\boldsymbol{r}} \cdot \hat{\boldsymbol{j}}=\overrightarrow{\boldsymbol{r}} \cdot \hat{\boldsymbol{k}} \) and \( |\overrightarrow{\boldsymbol{r}}|=\boldsymbol{3}, \) then
\( \vec{r}= \)
\( \mathbf{A} \cdot \pm 3(\hat{i}+\hat{j}+\hat{k}) \)
B. \( \pm \frac{1}{3}(\hat{i}+\hat{j}+\hat{k}) \)
c. \( \pm \frac{1}{\sqrt{3}}(\hat{i}+\hat{j}+\hat{k}) \)
D. \( \pm \sqrt{3}(\hat{i}+\hat{j}+\hat{k}) \)
Subject: Maths
The value of
\( \lim _{x \rightarrow 0} \frac{1}{x}\left(\tan ^{-1}\left(\frac{x+1}{2 x+1}\right)-\frac{\pi}{4}\right) \) is equal
to.
A .
B.
\( c \cdot \frac{-1}{2} \)
\( D \)
Subject: Physics
A uniform rod of length \( 4 L \) and mass \( M \)
is suspended form a horizontal roof by
two light strings of length \( L \) and \( 2 L \) as
shown. Then the tension in the left
string of length \( L \) is:
\( A \cdot \frac{M g}{2} \)
в. \( \frac{M g}{3} \)
c. \( \frac{3}{5} M g \)
D. \( \frac{M g}{_{1}} \)
Subject: Maths
A shoe shop in Chennai sold hundred
pairs of shoes of a particular brand in a certain day with the following
distribution.
\[
\begin{array}{lcccc}
\text { size } & & & & \\
\text { of } & 4 & 5 & 6 & 7 \\
\text { shoe } & & & &
\end{array}
\]
No
\[
\begin{array}{l}
\text { of } \\
\text { pairs } \\
\text { sold }
\end{array}
\]
23
Find the mode of the following distribution.
Subject: Maths
If \( a, b, c \) are distinct and the roots of \( (b- \)
c) \( x^{2}+(c-a) x+(a-b)=0 \) are equal ,then
\( a, b, c \) are in
A. Arithmetic progression
B. Geometric progression
c. Harmonic progression
D. Arithmetico-Geometric progression
Subject: Physics
Hydrogen and helium each having
volume \( V \) at same temperature \( T \) and
same pressure \( \boldsymbol{P} \) are mixed to have
same volume \( V \). The resulting pressure of the mixture will be:
A \( . R / 2 \)
в. \( P \)
\( c .2 P \)
D. depending on the relative mass of the gases
Subject: Maths
Solution of \( \sqrt{1+x^{2}+y^{2}+x^{2} y^{2}}+ \)
\( x y \frac{d y}{d x}=0, \) is:
A \( \cdot \log \left(\frac{x}{1+\sqrt{1+x^{2}}}\right)+\sqrt{1+x^{2}}+\sqrt{1+y^{2}}=c \)
B \( \cdot \log \left(\frac{x}{\sqrt{1+x^{2}}}\right)+\sqrt{1-x^{2}}+\sqrt{1+y^{2}}=c \)
\( c \cdot \log \left(\frac{x}{\sqrt{1+x^{2}}}\right)=c \)
D \( \cdot \log (\sqrt{1+x^{2}}-\sqrt{1+y^{2}})+\log \left(\frac{x}{\sqrt{1+x^{2}}}\right)=c \)
Subject: Physics
Resistance of a resistor at temperature
\( t^{0} \boldsymbol{C} \) is \( \boldsymbol{R}_{t}=\boldsymbol{R}_{0}\left(\mathbf{1}+\boldsymbol{\alpha} \boldsymbol{t}+\boldsymbol{\beta} \boldsymbol{t}^{2}\right) . \) Here \( \boldsymbol{R}_{0} \)
is the resistance at \( 0^{0} C . \) The
temperature coefficient of resistance at
temperature \( t^{0} C \) is
A \( \cdot \frac{\left(1+\alpha t+\beta t^{2}\right)}{\alpha+2 \beta t} \)
в. \( \alpha+2 \beta t \)
c. \( \frac{\alpha+2 \beta t}{\left(1+\alpha t+\beta t^{2}\right)} \)
D. \( \frac{\alpha+2 \beta t}{2\left(1+\alpha t+\beta t^{2}\right)} \)
Subject: Chemistry
\( \boldsymbol{Z} \boldsymbol{n}(\boldsymbol{s})\left|\boldsymbol{Z} \boldsymbol{n} \boldsymbol{C l}_{2}(\boldsymbol{a} \boldsymbol{q}) \| \boldsymbol{C l}^{-}(\boldsymbol{a} \boldsymbol{q})\right| \boldsymbol{C l}_{2}(\boldsymbol{g}) \mid \boldsymbol{C} \)
In the electrochemical cell described by the cell diagram above, what reaction occurs at the anode?
A. \( Z n \rightarrow Z n^{2+}+2 e \)
B. \( Z n^{2+}+2 e \rightarrow Z n \)
c. \( C l_{2}+2 e \rightarrow 2 C l \)
D. \( 2 C^{-} \rightarrow C l_{2}+2 e \)
E \( . Z n+C l_{2} \rightarrow Z n C l_{2} \)
Subject: Maths
If \( \boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{R} \) is defined by \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{2}- \)
\( 3 x+2, \) then \( f\left(x^{2}-3 x-2\right)= \)
A \( \cdot x^{4}+1 \)
B. \( x^{4}-3 x+2 \)
c. \( x^{4}-6 x^{3}+2 x^{2}+21 x+12 \)
D. \( x^{4}+2 x+2 \)
Subject: Maths
Find union of \( A \) and \( B \) by representing
using Venn diagram:
\( \boldsymbol{A}=\{1,2,3,4,8,9\}, B=\{1,2,3,5\} \)
\( \mathbf{A} \cdot\{1,2,3,4,5,8,9\} \)
B . \{1,2,3\}
\( \mathbf{c} \cdot\{1,2,3,4,8,9\} \)
D. None of these
Subject: Physics
Two blocks of masses \( m \) and \( M=2 m \)
are connected by means of a metal wire of cross sectional area \( A \), passing over a frictionless fixed pulley as shown in figure. The system is then released. The stress produced in the wire is :
\( A \cdot \frac{m g}{A} \)
в. \( \frac{2 m g}{3 A} \)
\( c \)
Subject: Biology
Assertion
Phylogeny is the developmental history
of a species.
Reason
Species is the basic unit of taxonomy.
A. Both Assertion and Reason are true and the Reason is a correct explanation of the assertion
B. Both Assertion and Reason are true but the Reason is
not a correct explanation of the Assertion.
C. Assertion is true but the Reason is false.
D. Both the Assertion and Reason are false.
Subject: Physics
A locomotive is propelled by a turbine whose axle is parallel to the axes of
wheels. The turbine's rotation direction
coincides with that of wheels. The
moment of inertia of the turbine rotor
relative to its own axis is equal to \( \boldsymbol{I}= \)
\( 240 k g \cdot m^{2} . \) If the additional force
exerted by the gyroscopic forces on the rails when the locomotive moves along
a circle of radius \( R=250 m \) with
velocity \( \boldsymbol{v}=\mathbf{5 0} \boldsymbol{k m} / \boldsymbol{h} \) is \( \boldsymbol{F}_{\boldsymbol{a d d}}= \)
\( \frac{x}{10} k N . m, \) find the value of \( x . \) The gauge
is equal to \( l=1.5 m . \) The angular
velocity of the turbine equals \( n= \)
1500 rpm
Subject: Maths
The compound interest on a certain
sum of money for 2 years at \( 10 \% \) per
annum is \( R s 420 . \) Find the simple
interest on the same sum at the same
rate anf for the same time.
A . \( R s 350 \)
B. \( R s 375 \)
c. \( R s 380 \)
D. \( R s 400 \)
Subject: Physics
An object starting from rest travels 20 \( \mathrm{m} \) in first \( 2 \mathrm{s} \) and \( 160 \mathrm{m} \) in next \( 4 \mathrm{s} \)
What will be the velocity \( (\text { in } \boldsymbol{m} / \boldsymbol{s}) \) after 7 s from the start.
A. 0
B. 10
\( c \cdot 65 \)
D. 70
Subject: Maths
Assertion
Equation of tangent to the curve \( \boldsymbol{y}= \)
\( x^{2}+1 \) at the point where slope of
tangent is equal the function value of
the curve is \( y=2 x \)
Reason
\( \boldsymbol{f}^{\prime}(\boldsymbol{x})=\boldsymbol{f}(\boldsymbol{x}) \)
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Chemistry
The cell constant of a given cell is 0.47 \( c m^{-1} . \) The resistance of a solution
placed in this cell is measured to be
31.6 ohm. The conductivity of the solution \( \left(\text { in } S c m^{-1} \text {where } S \) has usual \right.
meaning) is:
A . 0.15
в. 1.5
c. 0.015
D. 150
Subject: Physics
A force \( F=5 t \) is applied on a block of
mass \( 10 \mathrm{kg} \) kept on rough horizontal surface \( (\mu=0.5), \) in rest what is speed of the block at \( t=20 \) s?
\( A \cdot 15 \mathrm{m} / \mathrm{s} \)
B. \( 18 \mathrm{m} / \mathrm{s} \)
\( c \cdot 2.5 \mathrm{m} / \mathrm{s} \)
D. cannot be calculated
Subject: Chemistry
What is the \( K_{c} \) for the reaction:
\( \boldsymbol{M} \boldsymbol{g}(\boldsymbol{O} \boldsymbol{H})_{2(s)}+\boldsymbol{2} \boldsymbol{N} \boldsymbol{H}_{4(a q)}^{+} \rightleftharpoons \)
\( \mathbf{2} \boldsymbol{N} \boldsymbol{H}_{3(\boldsymbol{g})}+\mathbf{2 H}_{\mathbf{2}} \boldsymbol{O}_{(\boldsymbol{a q})}+\boldsymbol{M} \boldsymbol{g}_{(\boldsymbol{a q})}^{\mathbf{2 +}} \)
(Given that the solubility product for \( M g(O H)_{2}, K_{s p} \) is \( 6 \times 10^{-12} \) mol \( ^{3} L^{-3} \)
and
the base dissociation constant for
\( N H_{4} O H, K_{b} \) is \( 1.8 \times 10^{-5} m o l L^{-1} \)
A \( \cdot 2.05 \times 10^{-2} \)
В. \( 1.65 \times 10^{-2} \)
c. \( 1.85 \times 10^{-2} \)
D. None of these
Subject: Physics
A beam of \( 16 M e V \) deutrons from a
cyclotron falls on a copper block. The beam is equivalent to a current of \( 15 \mu A \)
At what rate do the deutrons strike the
block?
A \( \cdot 9.4 \times 10^{9} \)
B. \( 9.4 \times 10^{7} \)
c. \( 9.4 \times 10^{11} \)
D. \( 9.4 \times 10^{13} \)
Subject: Maths
Simplify \( \frac{5 \cos ^{2} 60^{0}+4 \sec ^{2} 30^{0}-\tan ^{2} 45^{0}}{\sin ^{2} 30^{0}+\cos ^{2} 30^{0}} \)
\( A \cdot-\frac{55}{2} \)
в. \( \frac{67}{12} \)
c. \( \frac{5}{12} \)
D. \( \frac{55}{4} \)
Subject: Maths
Calculate the median of the farm size
for the following data:
\( \begin{array}{lllll}\text { Farm } & 2- & 5- & 8- & 11- \\ \text { size } & 5 & 8 & 11 & 14\end{array} \)
12 Rooms \( \quad 4 \quad 8 \)
A. 9.125
B. 8.125
c. 7.125
D. 6.125
Subject: Maths
If the points \( \boldsymbol{A}(-2,1), B(a, b) \) and \( C(4,-1) \) are collinear and \( a-b=1 \)
find the values of \( a \) and \( b \)
A \( . a=1, b=5 \)
В. \( a=1, b=0 \)
c. \( a=2, b=0 \)
D. None of these
Subject: Biology
Assertion
Emphysema is the permanent abnormal inflation of air space of
terminal bronchioles or alveolar sacs.
Reason
Destruction of pulmonary tissues specially alveolar septa and flattening of alveolar ducts occur in emphysema.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Chemistry
Assertion
If the order of reaction is zero, then
degree of dissociation will be independent of initial concentration.
Reason The degree of dissociation of zero order reaction is given by \( \boldsymbol{\alpha}=\frac{\boldsymbol{k} \boldsymbol{t}}{\boldsymbol{c}_{0}} \)
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 particle of mass \( m \) is located in a one dimensional potential field where potential energy is given by \( U(x)=A(1- \) \( \cos p x), \) where \( A \) and \( p \) are constants. The period of small oscillations of the particle
A \( \cdot 2 \pi \sqrt{\frac{m}{A p^{2}}} \)
в. \( \pi \sqrt{\frac{m}{A P}} \)
c. \( \pi \sqrt{\frac{m}{A}} \)
D. \( \left(\frac{1}{2 \pi}\right) \sqrt{\frac{A p}{m}} \)
Subject: Maths
Let \( \boldsymbol{y}=\boldsymbol{a} \cos (\log \boldsymbol{x})+\boldsymbol{b} \sin (\log \boldsymbol{x}) \) is a
solution of the differential equation \( \boldsymbol{x}^{2} \frac{d^{2} y}{d x^{2}}+\boldsymbol{x} \frac{d y}{d x}+\boldsymbol{y}=0 . \) Prove
Subject: Physics
In the shown figure half of the part is
disc and other half is a ring both of
mass \( m \) and radius r. Then moment of
inertia of this system about the shown
axis is:
A \( \cdot \frac{3}{4} m r^{2} \)
в. \( \frac{3}{8} m R^{2} \)
\( \mathrm{c} \cdot m r^{2} \)
\( D \cdot \frac{m r^{2}}{1} \)
Subject: Physics
A girl walks along a straight path to drop a letter in the letterbox and comes back to her initial position.
Her displacement-time graph is shown in the figure. Find the average velocity
\( A \cdot 1 \mathrm{m} / \mathrm{s} \)
B. 2 \( \mathrm{m} / \mathrm{s} \)
\( c \cdot-2 m / s \)
D. \( 0 \mathrm{m} / \mathrm{s} \)
Subject: Physics
A stream of a liquid of density \( \rho \) flowing
horizontally with speed v rushes out of a tube of radius r and hits a vertical wall
nearly normally. Assuming that the liquid does not rebound from the wall,
the force exerted on the wall by the impact of the liquid is given by.
A . \( \pi r \rho v \)
B . \( \pi r \rho v^{2} \)
c. \( \pi r^{2} \rho v \)
D・ \( \pi r^{2} \rho v^{2} \)
Subject: Chemistry
\( \Delta H \) and \( \Delta S \) for the system
\( \boldsymbol{H}_{2} \boldsymbol{O}(l) \rightleftharpoons \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g}) \)
at 1 atmospheric pressure are \( 40.63 k J m o l^{-1} \) and \( 108.8 J K^{-1} m o l^{-1} \)
respectively. Calculate the temperature at which the rates of forward and
backward reactions will be the same.
Predict the sign of free energy for this transformation above this temperature
Subject: Physics
A train blowing its whistle moves with a constant velocity v away from an observer on the ground. The ratio of the
natural frequency of the whistle to that measured by the observer is found to be
1.2. If the train is at rest and the observer
moves away from it at the same velocity, this ratio would be given by
A . 0.5
B. 1.25
\( c \cdot 1.52 \)
D. 2.05
Subject: Chemistry
Air contains \( 79 \% N_{2} \) and \( 21 \% O_{2} \) by
volume. If the barometric pressure is \( 750 m m H g \) the partial pressure of
oxygen is:
\( \left(d N_{2}=1.25, d O_{2}=1.42 g / m\right) \)
A. \( 157.5 \mathrm{mm} \) of \( \mathrm{Hg} \)
в. \( 175.5 \mathrm{mm} \) of \( \mathrm{Hg} \)
c. \( 315.0 \mathrm{mm} \) of \( \mathrm{Hg} \)
D. None
Subject: Physics
A river \( 400 m \) wide is flowing at a rate of
\( 2.0 m / s . A \) boat is sailing at a velocity of \( 10 m / s \) with respect to the water, in a direction perpendicular to the river. \( (\boldsymbol{a}) \) Find the time taken by the boat to reach the opposite bank.
(b) How far from the
point directly opposite to the starting point does the boat reach the opposite bank?
Subject: Chemistry
(a) Complete the reaction?
(b) Name the product formed if a large
number of \( \boldsymbol{C H}_{2}=\boldsymbol{C H}_{2} \) molecules are
added instead of \( \boldsymbol{H}-\boldsymbol{H} \) ?
\[
\begin{array}{l}
\mathbf{H} \\
\mathbf{C}=\mathbf{C}^{\prime}+\mathbf{H}-\mathbf{H} \rightarrow \\
\mathbf{H}
\end{array} \mathbf{H}
\]
Subject: Physics
A particle of mass \( 1 k g \) starts from rest
under a time dependent force \( \boldsymbol{F}=\mathbf{1}+ \)
2 \( t . \) The work done by the force in time
interval \( t=0 \) to \( t=2 s \) is
A . \( 18 J \)
в. \( 20 J \)
c. \( 30 J \)
D. \( \frac{70}{3} \)
Subject: Physics
The potential energy for a force field \( \overrightarrow{\boldsymbol{F}} \) is given by \( U(x, y)=\sin (x+y) \)
Magnitude of the force acting on the particle of mass \( m \) at \( \left(0, \frac{\pi}{4}\right) \) is
\( A \)
B. \( \sqrt{2} \)
c. \( \frac{1}{\sqrt{2}} \)
D.
Subject: Chemistry
The correct statement with regard to
\( \boldsymbol{H}_{2}^{+} \) and \( \boldsymbol{H}_{2}^{-} \) is:
\( \mathbf{A} \cdot \) both \( H_{2}^{+} \) and \( H_{2}^{-} \) are equally stable
B. both \( H_{2}^{+} \) and \( H_{2}^{-} \) do not exist
\( \mathbf{C} \cdot H_{2}^{-} \) is more stable than \( H_{2}^{+} \)
D. \( H_{2}^{+} \) is more stable than \( H_{2}^{-} \)
Subject: Maths
If a polynomial \( a z^{3}+4 z^{2}+2 z-4 \) and
\( z^{2}+4 z+a \) leave the same remainder
divide by \( (z-3) . \) Find the value of a.
A . 1
в. \( \frac{-17}{26} \)
c. -1
D. 17
Subject: Chemistry
Which is correct statement?
As the \( s \) -character of a hybrid orbital decreases
(1) The bond angle decreases
(II) The bond strength increases
(III) The bond length increases
(IV) Size of orbitals increases
\( A \cdot(1),(111) \) and \( (1 \vee) \)
B. (II), (III) and (IV)
c. (l) and (II)
D. All are correct
Subject: Biology
The given diagrammatic representation of reflex action shows knee jerk reflex.
Identify the parts labelled as \( A \) to \( E \) and
select the correct option.
A. A - Dorsal root ganglion, B - White matter, C - Grey matter, D - Afferent pathway, E - Efferent pathway
B. A - Dorsal root ganglion, B - White matter, C - Grey matter, D - Efferent pathway, E - Afferent pathway
C. \( A \) - Ventral root ganglion, \( B \) - Grey matter, \( C \) - White matter, D - Efferent pathway, E - Afferent pathway
D. A - Ventral root ganglion, B - White matter, C - Grey matter, D - Efferent pathway, E - Afferent pathway
Subject: Physics
An observer \( A \) and a charge \( Q \) are fixed
in a stationary frame \( F_{1} \). an observer \( \mathrm{B} \)
is fixed in a frame \( F_{2}, \) which is moving
with respect to \( \boldsymbol{F}_{1}: \)
This question has multiple correct options
A. both A and B will observe electric fields
B. both A and B will observe magnetic fields
C. neither A nor B will observe magnetic fields
D. B will observe a magnetic field, but A will not
Subject: Maths
If \( n \) is an integer and \( (1+i \sqrt{3})^{n}+(1-i \sqrt{3})^{n}=2^{n+1} \cos \theta \)
\( \operatorname{then} \theta= \)
A \( \cdot \frac{n \pi}{3} \)
в. \( \frac{n \pi}{2} \)
c. \( \frac{n \pi}{4} \)
D. \( \frac{n \pi}{6} \)
Subject: Maths
If
\( f(x) \) is monotonic in \( (a, b) \) then prove that the area bounded by the ordinates
at \( \boldsymbol{x}=\boldsymbol{a}: \boldsymbol{x}=\boldsymbol{b}: \boldsymbol{y}=\boldsymbol{f}(\boldsymbol{x}) \) and \( \boldsymbol{y}= \)
\( f(c), c \epsilon(a, b) \) is minimum when \( c= \) \( \frac{a+b}{2} \)
Hence if the area bounded by the graph of \( f(x)=\frac{x^{3}}{3}-x^{2}+a, \) the straight
lines \( x=0, x=2 \) and the \( x \) -axis is
minimum then find the value or 'a'.
\( A \cdot \frac{2}{3} \)
B. \( \frac{2}{5} \)
\( c \cdot \frac{7}{3} \)
D. \( \frac{4}{3} \)
Subject: Maths
If \( \boldsymbol{\alpha} \boldsymbol{\epsilon}\left(\mathbf{0}, \frac{\boldsymbol{\pi}}{\mathbf{2}}\right), \) then the value of
\( \tan ^{-1}(\cot \alpha)-\cot ^{-1}(\tan \alpha)+ \)
\( \sin ^{-1}(\sin \alpha)-\cos ^{-1}(\cos \alpha) \) is equal to
A \( .2 \alpha \)
B . \( \pi+\alpha \)
\( c \cdot 0 \)
D. \( \pi-2 \alpha \)
Subject: Chemistry
Statement I: The most important factor in determining the chemical properties of an element is the number of electrons
in the outermost shell.

Statement II: The number of electrons in
the outer shell determines the bonding characteristics of the element.
A. Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement
B. Both the Statement 1 and Statement 2 are correct and statement 2 is NOT the correct explanation of Statement
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: Chemistry
Calculate the equilibrium constant for
the reaction, at \( 25^{\circ} C \)
\( \boldsymbol{C u}(\boldsymbol{s})+\boldsymbol{2} \boldsymbol{A} \boldsymbol{g}^{+}(\boldsymbol{a q}) \rightarrow \boldsymbol{C u}^{2+}(\boldsymbol{a q})+ \)
\( \mathbf{2} \boldsymbol{A} \boldsymbol{g}(\boldsymbol{s}) \)
\( \boldsymbol{E}_{c e l l}^{o}=\mathbf{0 . 4 7} \boldsymbol{V}, \boldsymbol{R}=\mathbf{8 . 1 3 4} \boldsymbol{J} \boldsymbol{K}^{-1} \boldsymbol{F}= \)
\( 96500 C \) is
A \( \cdot 1.8 \times 10^{15} \)
B. \( 8.5 \times 10^{15} \)
c. \( 1.8 \times 10^{10} \)
D. \( 85 \times 10^{15} \)
Subject: Maths
A fair die is thrown 3 times. The chance
that sum of three numbers appearing on the die is less than 11 , is equal to -
A \( \cdot \frac{1}{2} \)
B. \( \frac{2}{3} \)
\( c \cdot \frac{1}{6} \)
D. \( \frac{5}{8} \)
Subject: Maths
\( P \) is a variable points which moves
such that \( 3 P A=2 P B . \) If \( A= \)
(-2,2,3) and \( B=(13,-3,13) \) prove
that \( P \) satisfies the equation \( x^{2}+y^{2}+ \)
\( z^{2}+28 x-12 y+10 z-247=0 \)
Subject: Physics
Assertion
The magnetic field at the ends of a very long current carrying solenoid is half of that at the center.
Reason
If the solenoid is sufficiently long, the field within it is uniform.
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
The equivalent capacitance between \( \mathrm{P} \)
and \( Q \) of the given figure is (the capacitance of each capacitor is1 \( \mu F \) ):
\( A \cdot 2 \mu F \)
B. \( 0.5 \mu F \)
\( c \cdot 5 \mu F \)
D. \( 0.2 \mu F \)
Subject: Physics
Assertion
Heart can be assumed as electric
dipole.
Reason
Its ELOF are just same like a normal
dipole.
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