AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Biology
I. Pars interedia secretes MSH
II. Leydig's cell secreted progesterone
III. Melatonin is secreted by pineal gland IV.Myxoedema os a thyroid disorder
V. Neurohypophysis secreted ACTH
\( A \cdot \) ।, IV nad \( v \)
B. II, IV and
c. \( \| \), Il and \( v \)
D. I, III and IV
Subject: Physics
A bulb is located on a wall. Its image is to be obtained on a parallel wall with the help of convex lens. If the distance
between parallel walls and lens is \( ^{\prime} d^{\prime} \) then, required focal length of lens placed in between the walls is:
A \( \cdot \) only \( \frac{d}{4} \)
B. only \( \frac{d}{2} \)
c. More than \( \frac{d}{4} \) but less than \( \frac{d}{2} \)
D. Less than or equal to \( \frac{d}{4} \)
Subject: Maths
Show that the points whose position vectors are as given below are collinear:
\( \mathbf{3} \hat{\mathbf{i}}-\mathbf{2} \hat{\mathbf{j}}+\mathbf{4} \hat{\boldsymbol{k}}, \hat{\mathbf{i}}+\hat{\boldsymbol{j}}+\hat{\boldsymbol{k}} \) and \( -\hat{\mathbf{i}}+\mathbf{4} \hat{\mathbf{j}}- \)
\( \mathbf{2} \hat{\boldsymbol{k}} \)
Subject: Physics
Two spheres having same radius and mass are suspended by two strings of equal length from the same point in such a way that their surfaces touch
each other. On depositing charge \( 2 \times \) \( 10^{-6} C \) on them they repel each other in
such a way that in equilibrium the angle between their strings becomes
\( 60^{\circ} . \) If the distance from the point of
suspension to the centre of the sphere is \( 10 \mathrm{cm} . \) Find the mass of each sphere.
\( \left(\boldsymbol{K}=\mathbf{9} \times \mathbf{1 0}^{\mathbf{9}} \boldsymbol{S} \boldsymbol{I} \quad \text { and } \quad \boldsymbol{g}=\mathbf{1 0 m s}^{-1}\right) \)
A. \( 0.6235 k g \)
в. \( 0.3117 k g \)
c. \( 0.1559 k g \)
D. \( 1.2468 k g \)
Subject: Maths
If \( \boldsymbol{A}=\boldsymbol{x}^{2}+\boldsymbol{x}+\mathbf{1}, \boldsymbol{B}=\boldsymbol{x}^{2}-\boldsymbol{x}+\mathbf{1} \)
then \( \boldsymbol{A}-\mathbf{2} \boldsymbol{B} \)
Subject: Physics
N' molecules each of mass 'm', of gas A
and '2N' molecules, each of mass '2m',
of gas \( \mathrm{B} \) are contained in the same vessel. Which is maintained at a
temperature T. The mean square of the velocity of molecules of B type is
denoted by \( V^{2} \) and the mean square of the \( X \) component of the velocity of \( A \) type is denoted by \( \omega^{2}, \frac{\omega^{2}}{V^{2}}= \)
\( A \cdot 2 \)
B.
\( c \cdot 1 / 3 \)
\( D \cdot 2 / 3 \)
Subject: Maths
Find the limits of
\( \frac{\sqrt{\boldsymbol{x}}-\sqrt{\mathbf{2 a}}+\sqrt{\boldsymbol{x}-\mathbf{2} \boldsymbol{a}}}{\sqrt{\boldsymbol{x}^{2}-\mathbf{4} \boldsymbol{a}^{2}}}, \) when \( \boldsymbol{x}=\mathbf{2} \boldsymbol{a} \)
Subject: Physics
A stone \( A \) is dropped from a height \( h \) above the ground. A second stone B is simultaneously thrown vertically up from a point on the ground with velocity
v. The line of motion of both the stones
is same. The value of v which would
enable the stone \( B \) to meet the stone \( A \)
midway ( at midpoint) between their initial position is:
\( A \cdot 2 g h \)
в. \( 2 \sqrt{g h} \)
\( c \cdot \sqrt{g h} \)
D. \( \sqrt{2 g h} \)
Subject: Physics
Assertion
Potentiometer is used only to compare
potential differences.
Reason
The potentiometer draws current from the voltage source being measured.
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
In a reversible process, system goes from an initial state \( A \) to a final state \( B \)
Which of the following is true?
A. The heat required from state A to state B is zero.
B. The work done from state A to state B is zero
c. The heat required from state A to state B and back to state A is zero
D. The heat required from state A to state B and back to state A is non-zero
Subject: Chemistry
Which of the following is the correct
order of decreasing \( S_{N} 2 \) reactivity?
A \( . R C H_{2} X>R_{3} C X>R_{2} C H X \)
в. \( R C H_{2} X>R_{2} C H X>R_{3} C X \)
c. \( R_{3} C X>R_{2} C H X>R C H_{2} X \)
D. \( R_{2} C H X>R_{3} C X>R C H_{2} X \)
Subject: Maths
Find the equation of the plane passing through the points (0,0,0) and (3,-1,2) are parallel to the line \( \frac{\boldsymbol{x}-\mathbf{4}}{\mathbf{1}}=\frac{\boldsymbol{y}+\mathbf{3}}{\mathbf{- 4}}=\frac{\boldsymbol{z}+\mathbf{1}}{\mathbf{7}} \)
Subject: Physics
A tuning fork is in resonance with a sonometer wire. The same tuning fork produces 3 beats in \( 2 s \) when the tension in the wire is increased by \( 2 \% \) The frequency of wire before increasing tension is:
A . \( 100 \mathrm{Hz} \)
в. \( 150 \mathrm{Hz} \)
c. \( 200 H z \)
D. 300 H
Subject: Chemistry
Arrange the following elements in the order of their increasing non-metallic
character.
\( \boldsymbol{L} \boldsymbol{i}, \boldsymbol{O}, \boldsymbol{C}, \boldsymbol{B} \boldsymbol{e}, \boldsymbol{F} \)
A. \( O<F<C<B e<L i \)
в. \( L i<B e<C<O<F \)
c. \( F<O<C<B e<L i \)
Subject: Physics
A sound wave of frequency 500 Hz covers a distance of \( 1000 \mathrm{m} \) in \( 5 \mathrm{s} \)
between points \( x \) and \( y . \) Then the number of waves between \( x \) and \( y \) are
A. 5000
B. 2500
\( c \cdot 100 \)
D. 500
Subject: Maths
\( \int \frac{x e^{x}}{(1+x)^{2}} d x \) is equal to
A \( \cdot \frac{-e^{x}}{x+1}+C \)
в. \( \frac{e^{x}}{x+1}+C \)
c. \( \frac{x e^{x}}{x+1}+C \)
D. \( \frac{-x e^{x}}{x+1}+C \)
E \( \frac{e^{x}}{(x+1)^{2}}+C \)
Subject: Physics
If the angle of incidence is \( 70^{\circ}, \) then
calculate the angle between the incidence ray and the reflected ray.
A \( \cdot 40^{\circ} \)
B . \( 140^{\circ} \)
\( \mathrm{c} \cdot 130^{\circ} \)
D. \( 110^{\circ} \)
Subject: Chemistry
Which is Prussian blue?
A \( \cdot K F e^{I I I}\left[F e^{I I}(C N)_{6}\right] \)
B. \( K F e^{I I I}\left[F e^{I I I}(C N)_{6}\right] \)
C. \( K_{2}\left[F e^{I I}(C N)_{6}\right] \)
D. \( K_{3}\left[F e(C N)_{6}\right] \)
Subject: Maths
If the length of the major axis of the ellipse \( \left(\frac{x^{2}}{a^{2}}\right)+\left(\frac{y^{2}}{b^{2}}\right)=1 \) is three
times the length of minor axis, its eccentricity is:
A \( \cdot \frac{1}{3} \)
в. \( \frac{1}{\sqrt{3}} \)
\( c \cdot \sqrt{\frac{2}{3}} \)
D. \( \frac{2 \sqrt{2}}{3} \)
Subject: Maths
\( \int_{0}^{\pi / 2} \frac{\cos 2 x}{(\sin x+\cos x)^{2}} d x=\dots \dots \)
\( ^{A} \cdot \frac{\pi}{4} \)
в. \( \frac{\pi}{2} \)
\( c \cdot 0 \)
\( D \cdot-\frac{\pi}{4} \)
Subject: Maths
In a swimming pool measuring \( 90 \mathrm{m} \) by \( 40 \mathrm{m}, 150 \) men take a dip. If the average
displacement of water by a man is \( 8 m^{3} \) what will be the rise in water level?
A. \( 33.33 \mathrm{cm} \)
B. \( 30 \mathrm{cm} \)
c. \( 20 \mathrm{cm} \)
D. \( 25 \mathrm{cm} \)
Subject: Maths
Find the value of \( \sin 22^{0} \cos 38^{0}+ \)
\( \cos 22^{0} \sin 38^{0} \)
\( A \cdot \frac{1}{2} \)
B. \( -\frac{\sqrt{3}}{2} \)
c. \( \frac{\sqrt{3}}{2} \)
D. \( \frac{1}{\sqrt{2}} \)
Subject: Physics
For a planet revolving around the sun, when it is nearest to the sun (K.E. -
kinetic energy, P.E. - Potential energy)
A. K.E. is minimum and P.E. is maximum.
B. Both K.E. and P.E. are minimumm
c. K.E. is maximum. and P.E. is minimum
D. K.E. and P.E. are equal
Subject: Maths
The solution of \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}=\left(\boldsymbol{1}+\boldsymbol{y}^{2}\right)(\boldsymbol{1}+ \)
\( \left.x^{2}\right)^{-1} \) is?
A. \( y-x=c(1+x y) \)
в. \( y+x=c(1+x y) \)
c. \( y=(1+2 x) c \)
D. \( x y=x^{2}+x+x \)
Subject: Chemistry
The work function of a metal is \( 4.2 \mathrm{eV} \). If
radiation of \( 2000 A^{\circ} \) falls on the metal,
the kinetic energy of the fastest photoelectron is:
A . \( 1.6 \times 10^{-19} \mathrm{J} \)
В. \( 16 \times 10^{-10} J \)
c. \( 3.2 \times 10^{-19} \mathrm{J} \)
D. \( 6.4 \times 10^{-10} \mathrm{J} \)
Subject: Maths
If \( \left[\begin{array}{lll}1 & x & 1\end{array}\right]\left[\begin{array}{lll}1 & 3 & 2 \\ 0 & 5 & 1 \\ 0 & 3 & 2\end{array}\right]\left[\begin{array}{l}1 \\ 1 \\ x\end{array}\right]=0, \) then
\( \boldsymbol{x}= \)
A. \( \frac{-9 \pm \sqrt{35}}{2} \)
B. \( \frac{-7 \pm \sqrt{53}}{2} \)
c. \( \frac{-9 \pm \sqrt{53}}{2} \)
D. \( \frac{-7 \pm \sqrt{35}}{2} \)
Subject: Physics
A particle \( P \) is a moving in a circle of radius e with a uniform speed \( v . C \) is
the centre of the circle, and \( A B \) is a
diameter, If \( P \) is at \( B \), the angular
velocities of \( \boldsymbol{P} \) about \( \boldsymbol{A} \) and \( \boldsymbol{C} \) are in the
ratio
A . 1: 1
B . 2: 1
c. 1: 2
D. 4: 1
Subject: Maths
The length of latus rectum of \( \frac{x^{2}}{9}+ \) \( \frac{\boldsymbol{y}^{2}}{2}=1 \) is
\( A \cdot \frac{7}{4} \)
B. \( \frac{3}{4} \)
\( c \cdot \frac{4}{3} \)
D. None.
Subject: Chemistry
Among the following, the species that is both paramagnetic and coloured is :
B. \( \left[T i C l_{6}\right]^{2-} \)
\( \mathbf{c} \cdot\left[V O_{4}\right]^{3} \)
D. \( \operatorname{Cr} \mathrm{O}_{2} \mathrm{Cl}_{2} \)
Subject: Maths
The value of \( \sin ^{-1}\left\{\cos \left(\frac{33 \pi}{5}\right)\right\} \) is
\( ^{A} \cdot \frac{3 \pi}{5} \)
в. \( \frac{7 \pi}{5} \)
c. \( \frac{\pi}{10} \)
D. \( \frac{-\pi}{10} \)
Subject: Physics
A hollow metallic sphere of radius R is given a charge \( Q \). Then, the potential at the centre is
A. zero
в. \( \frac{1}{4 \pi \epsilon_{0}} \cdot \frac{Q}{R} \)
c. \( \frac{1}{4 \pi \epsilon_{0}} \cdot \frac{2}{Q} R \)
D. \( \frac{1}{4 \pi \epsilon_{0}} \cdot \frac{Q}{2 R} \)
Subject: Physics
A glass vessel of volume \( 100 \mathrm{cm}^{3} \) is
filled with mercury and is heated from
\( 25^{\circ} \mathrm{C} \) to \( 75^{\circ} \mathrm{C} \). What volume of mercury
will overflow? Coefficient of linear
expansion of glass \( =1.8 \times 10^{-6} /^{\circ} \mathrm{C} \)
and coefficient of volume expansion of
mercury is \( 1.8 \times 10^{-4} /^{\circ} C \)
A \( \cdot 0.67 \mathrm{cm}^{3} \)
B. \( 0.87 \mathrm{cm}^{3} \)
\( \mathbf{c} \cdot 1.74 \mathrm{cm}^{3} \)
D. \( 0.98 \mathrm{cm}^{3} \)
Subject: Physics
A liquid is kept in a cylindrical vessel, which is rotated along its axis. The liquid rises at the side. If the radius of the vessel is \( 5 \mathrm{cm} \) and the frequency of rotation is 4 rev/s, then the difference in the height of the liquid at the centre of
the vessel and its sides is:
A. \( 8 \mathrm{cm} \)
B. 2 \( \mathrm{cm} \)
c. \( 40 \mathrm{cm} \)
\( D \cdot 4 \mathrm{cm} \)
Subject: Chemistry
A sulfide ore is first converted into its
oxide before reduction. This is done
because
A. A sulphide ore cannot be reduced to metal at all
B. No reducing agent is found suitable for reducing a sulphide ore
c. The enthalpy of formation of \( C O_{2} \) is more than that of \( C S_{2} \)
D. A metal oxide is generally less stable than the metal sulphide
Subject: Physics
A rigid triangular frame ABC of mass \( \mathrm{m} \) is hanging from a rigid horizontal rod
PQ. The frame is constrained to move
along horizontal without friction. A bead of mass \( m \) is released from \( B \) that
moves along BC. Magnitude of displacement o frame when bead reaches C is
A \( \cdot \frac{l}{2} \)
B. \( \frac{l}{4} \)
c. \( \frac{3 l}{\sqrt{2}} \)
D. \( \frac{\sqrt{3} l}{4} \)
Subject: Physics
Assertion
To unscrew a rusted nut, we need a
wrench with longer arm.
Reason
Wrench with longer arm reduces the
torque of the arm.
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 dimensions of universal gas
constant are
\( \mathbf{A} \cdot\left[L^{2} M^{1} T^{-2} K^{-1}\right] \)
B \( \cdot\left[L^{1} M^{2} T^{-2} K^{-1}\right] \)
c. \( \left[L^{1} M^{1} T^{-2} K^{-1}\right] \)
D \( \cdot\left[L^{2} M^{2} T^{-2} K^{-1}\right] \)
Subject: Physics
What is the \( Q- \) value of the reaction?
\( \boldsymbol{P}+^{7} \boldsymbol{L i} \rightarrow^{4} \boldsymbol{H} \boldsymbol{e}+^{4} \boldsymbol{H} \boldsymbol{e} \)
The atomic masses of \( ^{1} \boldsymbol{H},^{4} \boldsymbol{H} \boldsymbol{e} \) and \( ^{7} \boldsymbol{L} \boldsymbol{i} \)
are \( 1.007825 u, 4.0026034 u \) and
\( 7.016004 u \) respectively
A . 17.35 MeV
в. \( 18.06 \mathrm{MeV} \)
c. 177.35 МеV
D. 170.35 MeV
Subject: Chemistry
Calculate the \( p H \) after the addition of
\( 90 m l \) and \( 100 m l \) respectively of
\( \mathbf{0 . 1} N \) NaOH to
\( 100 m l 0.1 N C H_{3} C O O H \)
(Given \( \left.p K_{a} \text { for } C H_{3} C O O H=4.74\right) \)
Subject: Chemistry
During the discharge of a lead storage battery, the density of sulphuric acid fell from 1.294 to 1.139 g \( m l^{-1} \) and sulphuric acid of the density of \( 1.294 \mathrm{g} \)
\( m l^{-1} \) is \( 39 \% \) by mass and that of the
density of 1.139 g \( m l^{-1} \) is \( 20 \% \) by mass. The battery holds 3.5 litre of acid and the volume practically remained constant during the discharge. Calculate the no. of ampere hour for which the battery must have been used. The charging and discharging reactions
are:
\( \boldsymbol{P b}+\boldsymbol{S O}_{4}^{2-} \rightarrow \boldsymbol{P b S O}_{4}+\boldsymbol{2 e} \Longrightarrow \)
charging
\( \boldsymbol{P b O}_{2}+\boldsymbol{4} \boldsymbol{H}^{+}+\boldsymbol{S O}_{4}^{2-}+\boldsymbol{2} e \rightarrow \)
\( P b S O_{4}+2 H_{2} O \Longrightarrow \) discharging
A . \( 2.5 A \)
в. \( 1.7 A \)
\( c .3 .2 A \)
D. None of these
Subject: Maths
\( \boldsymbol{a}+\boldsymbol{i} \boldsymbol{b}=(\mathbf{1}+\boldsymbol{i} \sqrt{\boldsymbol{3}})^{300} \) then \( \boldsymbol{a}= \)
and \( b= \)
A .0,1
B . \( 2^{300}, 0 \)
\( c .0,0 \)
D. none of these
Subject: Chemistry
Electronic configurations of few
elements are given below. Mark the
incorrect match.
A \( \cdot l s^{2} 2 s^{2} 2 p^{5} \) - Most electronegative element
B. \( l s^{2} 2 s^{2} 2 p^{3}- \) An element belonging to 3rd period and 5 th
group
C \( \cdot 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 3 d^{8} 4 s^{2}- \) A d-block element
D. \( 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} \) - An element from 18th group
Subject: Physics
\( \ln \) an oscillating \( L-C \) circuit in which
\( C=4.00 \mu F, \) the maximum potential
across the capacitor during the
oscillations is \( 1.50 V \) and the maximum
current through the inductor is \( 50.0 m A \)
What is the inductance \( L ? \)
\( \mathbf{A} \cdot 8.6 m H \)
в. \( 3.6 m H \)
c. \( 6.6 m H \)
D. \( 4.6 m H \)
Subject: Physics
A small current element of length \( d l \) and carrying current is placed at (1,1,0) and is carrying current in ' \( +z^{\prime} \) direction. If magnetic field at origin be \( \vec{B}_{1} \) and at point (2,2,0) be \( \vec{B}_{2} \) then
A \( \cdot \vec{B}=\vec{B} \)
B . \( \left|\vec{B}_{1}\right|=\left|2 \vec{B}_{2}\right| \)
c. \( \vec{B}_{1}=-\vec{B}_{2} \)
D . \( \vec{B}_{1}=-2 \vec{B}_{2} \)
Subject: Chemistry
What is the \( \% \) dissociation of \( \boldsymbol{H}_{2} \boldsymbol{S} \) if
one mole of \( H_{2} S \) is introduced in 1 litre
vessel at \( 1000 K \) if \( K_{c} \) for the reaction,
\( 2 H_{2} S(g) \rightleftharpoons 2 H_{2}(g)+S_{2}(g) \) is \( 4 \times \)
\( 10^{-6} ? \)
Subject: Chemistry
Assertion : Element number 12 and
element number 20 undergo similar
chemical reactions
Reason : Element number 12 and
element number 20 have similar
valence electron configuration
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
E. Both assertion and reason are incorrect
Subject: Chemistry
10 moles of \( S O_{2} \) and 15 moles of \( O_{2} \) were
passed over a catalyst to produce 8 moles of \( S O_{3} \). The ratio of moles of \( S O_{2} \)
and \( S O_{3} \) in mixture is:
A \( \cdot \frac{5}{4} \)
B. \( \frac{1}{4} \)
\( c \cdot \frac{1}{2} \)
D. \( \frac{3}{4} \)
Subject: Chemistry
An oxide of lead changes to another insoluble oxide and soluble salt on
reaction with \( \boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{3} \)
(a) What is Oxide?
(b) What is insoluble oxide ?.
(c) What is soluble salt ?.
B \( \cdot(a) P b_{3} O_{3} ;(b) P b O_{2} ;(c) P b\left(N O_{3}\right)_{3} \)
C \( \cdot(a) P b_{3} O_{4} ;(b) P b O_{2} ;(c) P b\left(N O_{3}\right)_{2} \)
D. \( \left(\text { a) } P b_{3} O_{4} ;(b) P b O_{4} ;(c) P b\left(N O_{3}\right)_{3}\right. \)
Subject: Chemistry
Correct order of boiling point for the given compounds is:
a) \( 1- \) chloropropane
b) isopropyl chloride
c) 1-chlorobutane
\( A \cdot a<b<c \)
в. \( b>a>c \)
\( c \cdot b<a<c \)
D. \( a>b>c \)
Subject: Physics
A magnetic field is directed normally
downwards through a magnetic frame
as shown in the figure. On increasing
the magnetic field:
\begin{tabular}{r|rrrrr}
\( \times \) & \( \times \) & \( \times \) & \( \times \) & \( \times \) & \( \times \) \\
\( \times \) & \( \times \) & \( \times \) & \( \times \) & \( \times \) & \( \times \) \\
\( \times \) & \( \times \) & \( \times \) & \( \times \) & \( \times \) & \( \times \) \\
\( \times \) & \( \times \) & \( \times \) & \( \times \) & \( \times \) & \( \times \) \\
\( \times \) & \( \times \) & \( \times \) & \( \times \) & \( \times \) & \( \times \) \\
\( \times \) & \( \times \) & \( \times \) & \( \times \) & \( \times \) & \( \times \) \\
\( \times \) & \( \times \) & \( \times \) & \( \times \) & \( \times \) & \( \times \) \\
\hline
\end{tabular}
\[
\times \times \times \times \times \times
\]
A. plate B will be positively charged
B. plate A will be positively charged
C. none of the plates will be positively charged
D. all of the above
Subject: Physics
Assertion
Loss in friction due to a decelarating metallic block on the ground,is the loss which is reversible.
Reason
At every point of motion of the block there is a net force acting on it which is decelarating its motion.
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 incorrect but Reason is correct
D. Both Assertion and Reason are incorrect
Subject: Physics
The piston in the cylinder head of a locomotive has a stroke of 6 m. If the
piston executing simple harmonic motion with an angular frequency of
200 rad \( m i n^{-1}, \) its maximum speed is
A \( .5 \mathrm{ms}^{-1} \)
B . \( 10 \mathrm{ms}^{-1} \)
c. \( 15 \mathrm{ms}^{-1} \)
D. \( 20 m s^{-1} \)
Subject: Physics
A heating coil is dipped in a bucket filled with water. Explain the significant mechanisms in heat flow.
A. Heat from coil is transferred by conduction to both water and bucket
B. Heat from coil is transferred by convection to both water and bucket
c. Heat from coil is transferred by conduction to water. In water, heat flow occurs by convection and bucket gains heat from water by conduction
D. None of the above
Subject: Chemistry
\( 98 \mathrm{g} H_{2} S O_{4} \) is added in water no. of moles of ions produced will be?
\( \mathbf{A} \cdot 0.3 N_{a} \)
B. \( 0.3 \times 6.023 \times 10^{23} \)
\( \mathrm{c} .0 .3 \times 98 \)
D. 0.3
Subject: Maths
If \( \int \frac{d x}{\sqrt{x}(x+9)}=f(x)+ \) constant, then
\( \boldsymbol{f}(\boldsymbol{x})= \)
A \( \cdot \frac{2}{3} \tan ^{-1} \sqrt{x} \)
B \( \cdot \frac{2}{3} \tan ^{-1}\left(\frac{\sqrt{x}}{3}\right) \)
C. \( \tan ^{-1} \sqrt{x} \)
D. \( \tan ^{-1}\left(\frac{\sqrt{x}}{3}\right) \)
Subject: Chemistry
\( p H \) of a \( 0.1 M \) monobasic acid is found to be \( 2 . \) Hence its osmotic pressure at a
given temp. \( \boldsymbol{T} \boldsymbol{K} \) is:
A. \( 0.1 R T \)
\( T \)
в. \( 0.11 R T \)
c. \( 1.1 R T \)
D. \( 0.01 R T \)
Subject: Maths
Which of the following system of equations has unique solution?
A. \( 3 x+y=2,6 x+2 y=3 \)
в. \( 2 x-5 y=3,6 x-15 y=9 \)
c. \( x-2 y=3,3 x-2 y=1 \)
D. \( 2 x+3 y=4,4 x+6 y=8 \)
Subject: Physics
A monkey of mass \( m k g \) slides down a light rope attached to a fixed spring balance, with an acceleration \( a \). The
reading of the spring balance is \( \mathrm{W} \) kg. \( [\mathrm{g} \) \( = \) acceleration due to gravity]. Then:
This question has multiple correct options
A. the force of friction exerted by the rope on the monkey is \( m(g-a) N \)
в. \( m=\frac{W g}{g-a} \)
c. \( m=W\left(1+\frac{a}{g}\right) \)
D. the tension in the rope is \( W g N \)
Subject: Physics
Two particles \( P \) and \( Q \) describe simple harmonic motions of same period,
same amplitude, along thesame line about the same equilibrium position 0 When \( P \) and \( Q \) are on opposite sides of 0 at the samedistance from 0 they have the same speed of \( 1.2 \mathrm{m} / \mathrm{s} \) in the same direction, when their displacements arethe same they have the same speed of \( 1.6 \mathrm{m} / \mathrm{s} \) in opposite directions. The maximum velocity in \( \mathrm{m} / \mathrm{s} \) ofeither
particle is
A . 2.8
B. 2.5
\( c \cdot 2.4 \)
D. 2
Subject: Chemistry
For a reaction, \( \boldsymbol{A}+\mathbf{2} \boldsymbol{B} \longrightarrow \boldsymbol{C}, \) the
amount of \( C \) formed by starting the reaction with 5 moles of \( A \) and 8 moles
\( \boldsymbol{B} \) is:
A. 5 mol
B. 8 mol
c. 16 mol
D. 4 mol
Subject: Physics
STATEMENT-1: According to kinetic
theory of gases the internal energy of a given sample of an ideal gas is only kinetic.
STATEMENT-2: The ideal gas molecules
exert force on each other only when they
collide.
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
The most appropriate method of
making egg-albumin sol is:
A. Break an egg carefully and transfer the transparent part of the content to \( 100 \mathrm{mL} \) of \( 5 \% \mathrm{w} / \mathrm{V} \) saline solution and stir well.
B. Keep the egg in boiling water for 10 minutes. After removing the shell, transfer the white part of the content to \( 100 \mathrm{mL} \) of \( 5 \% \mathrm{w} / \mathrm{V} \) saline solution and homogenize with a mechanical shaker.
C. Keep the egg in boiling water for 10 minutes. After removing the shell, transfer the yellow part of the content to \( 100 \mathrm{mL} \) of \( 5 \% \mathrm{w} / \mathrm{V} \) saline solution and homogenize with a mechanical shaker
D. Break an egg carefully and transfer only the yellow part of the content to \( 100 \mathrm{mL} \) of \( 5 \% \mathrm{w} / \mathrm{V} \) saline solution and stir well.
Subject: Maths
If \( \boldsymbol{I}=\int \frac{\boldsymbol{d} \boldsymbol{x}}{\boldsymbol{x}-\sqrt{\mathbf{9} \boldsymbol{x}^{2}+\mathbf{4} \boldsymbol{x}+\mathbf{6}}} \) to
evaluate \( I \), one of the most proper
substitution could be
A. \( \sqrt{9 x^{2}+4 x+6}=u \pm 3 x \)
B. \( \sqrt{9 x^{2}+4 x+6}=3 u \pm x \)
c. \( _{x}=\frac{1}{t} \)
D. \( 9 x^{2}+4 x+6=\frac{1}{t} \)
Subject: Chemistry
The energy of an electron in the first
Bohr's orbit of a hydrogen atom is \( 2.18 \times 10^{-18} J . \) Its energy in the second
orbit will be:
A. \( -1.09 \times 10^{-18} \mathrm{J} \)
B . \( -4.36 \times 10^{-18} J \)
c. \( -5.45 \times 10^{-19} \mathrm{J} \)
D. \( -8.72 \times 10^{-18} \mathrm{J} \)
Subject: Chemistry
Identify the pairs of ions possessing eq ual spin only magnetic moments:
A. \( C o^{-2}, N i^{+2} \)
B. \( C o^{+2}, C r^{+3} \)
c. \( F e^{+2}, F e^{+3} \)
D. \( F e^{+2}, C r^{+3} \)
Subject: Chemistry
A solution contains \( \boldsymbol{H} \boldsymbol{C l} \)
\( C l_{2} H C C O O H \) and \( C H_{3} C O O H \) at
concentrations \( 0.09 M \) in \( H C l, 0.09 M \)
in \( C l_{2} H C C O O H \) and \( 0.1 M \) in
\( C H_{3} C O O H, p H \) for the solution is 1
lonization constant of \( C H_{3} C O O H= \)
\( 10^{-5} . \) What is the magnitude of \( K \) for
dichloroacetic acid?
A \( \cdot k a_{2}=1.25 \times 10^{-2} \)
В . \( k a_{2}=1.25 \times 10^{-1} \)
D. \( k a_{2}=1.25 \times 10^{-3} \)