AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Assertion
Aromatic aldehydes and formaldehyde undergo Cannizzaro reaction.
Reason
Aromatic aldehydes are almost as reactive as formaldehyde.
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
Two moles of helium gas undergo a
cyclic process as shown in figure.
Assuming the gas to be ideal. The net
work done by the gas is:
A. 200 R \( \ln 2 \)
B. 100 R \( \ln 2 \)
\( c \cdot 300 R \ln 2 \)
D. 400 R \( \ln 2 \)
Subject: Chemistry
Select the coloured compound amongst the following. (At. no, \( \mathbf{T i}=\mathbf{2 2}, \mathbf{C r}=\mathbf{2 4}, \mathbf{C u}=\mathbf{2 9}, \mathbf{Z n}=\mathbf{3 0}) \)
\( \mathbf{A} \cdot T i C l_{4} \)
в. \( C r C l_{3} \)
c. \( Z n C l_{2} \)
D. \( C u C l \)
Subject: Physics
Dimensional formula of universal
gravitational constant \( G \) is-
A \( \cdot M^{-1} L^{3} T^{-2} \)
B . \( M^{-1} L^{2} T^{-2} \)
c. \( M^{-2} L^{3} T^{-2} \)
D. \( M^{-2} L^{2} T^{-2} \)
Subject: Physics
Q Type your question
wall. The shearing strength of steel is
\( 345 M N / m^{2} . \) The dimensions \( A B=5 \)
\( \mathrm{cm}, \mathrm{BC}=\mathrm{BE}=2 \mathrm{cm} . \) The maximum
load that can be put on the face ABCD
is:(neglect bending of the rod)
\( \left(g=10 m / s^{2}\right) \)
A. 3450 kgf
B. 1380 kgf
c. \( 13800 \mathrm{kgf} \)
D. 345 kgf
E. None of these
Subject: Physics
A sinusoidal voltage of peak value \( \mathbf{2 0 0} V \) is connected to a diode
and resistor \( R \) in the circuit shown so
that halfwave rectification occurs. If the
forward resistance of the diode is
negligible compared to it, the r.m.s.
voltage (in volt) across \( R \) is approximately
A . 200
в. 100
c. \( \frac{200}{\sqrt{2}} \)
D. 280
Subject: Maths
Solve \( 0.2 x+0.3 y=1.3 \)
\( \mathbf{0 . 4 x}+\mathbf{0 . 5 y}=\mathbf{2 . 3} \)
A. \( x=-2 \) and \( y=3 \)
B. \( x=3 \) and \( y=3 \)
c. \( x=2 \) and \( y=3 \)
D. None of these
Subject: Maths
Construct a \( \triangle X Y Z \) in which \( X Y=4.5 \)
\( \mathbf{c m}, \boldsymbol{Y} \boldsymbol{Z}=\mathbf{5} \mathbf{c m} \) and \( \boldsymbol{Z} \boldsymbol{X}=\mathbf{6} \mathbf{c m} \)
Subject: Maths
\( \boldsymbol{A}=\left[\begin{array}{cc}\boldsymbol{x} & -\mathbf{7} \\ \mathbf{7} & \boldsymbol{y}\end{array}\right] \) is a skew-symmetric
matrix,
then \( (x, y)= \)
A \( .(1,-1) \)
B. (7,-7)
\( c \cdot(0,0) \)
D. (14,-14)
Subject: Physics
Imagine a light planet revolving around a very massive star in a circular orbit or
radius \( R \) with a speed of revolution \( T . \) If the gravitational force of attraction between the planet and the star is proportional to \( \boldsymbol{R}^{-\mathbf{5} / 2}, \) then
A \( \cdot T^{2} \) is proportional to \( R^{2} \)
B . \( T^{2} \) is proportional to \( R^{7 / 2} \)
c. \( T^{2} \) is proportional to \( R^{3 / 2} / 2 \) proportional
D. \( T^{2} \) is proportional to \( R^{3.75} \)
Subject: Physics
charge particles are pictured in the
same magnetic field which points into the screen (represented by blue \( X^{\prime} \) s) The particles are moving at the same speeds but in different directions, as
indicated by the red arrows. How do the particles rank, in terms of
the force they experience due to their
movements in the magnetic field, greatest first?
A. 1,2,3
B. 1 and 2 tie, 3
c. 3,1 and 2 tie
D. 3,2,1
E. All tie
Subject: Chemistry
Which of the following species are oxidised and reduced in the following (unbalanced) reaction?
\( \boldsymbol{C}+\boldsymbol{Z} \boldsymbol{n} \boldsymbol{O} \longrightarrow \boldsymbol{Z} \boldsymbol{n}+\boldsymbol{C O} \)
A. zno Reduced ; c Oxidizedd
B. c Reduced ; zno Oxidizedd
c. Neither of them reduced or oxidized
D. None of the above
Subject: Physics
A star initially has \( 10^{40} \) deuterons. It
produces energy through the processes \( 1 H^{2}+_{1} 1 H^{2} \rightarrow_{2} H^{3}+P \) and \( _{1} H^{2}+_{1} \rightarrow_{2} \)
\( \boldsymbol{H} \boldsymbol{e}^{\boldsymbol{4}} \boldsymbol{+} \boldsymbol{n} \)
If the average power radiated by the star
is \( 10^{16} W \), the deutron supply of the
star is exhausted in a time of the order
of
\( A \cdot 10^{6} \)
B. \( 10^{8} \)
\( c \cdot 10^{12} \)
D. \( 10^{16} \)
Subject: Maths
The given quadratic equations have real roots and roots are Real and equal, \( \sqrt{\frac{3}{2}} \)
\( \mathbf{2} \boldsymbol{x}^{2}-\mathbf{2} \sqrt{\mathbf{6} \boldsymbol{x}}+\mathbf{3}=\mathbf{0} \)
A. True
B. False
Subject: Maths
If \( \left[\cot ^{-1} x\right]+\left[\cos ^{-1} x\right]=0, \) where [
denotes the greatest integer function, then the complete set of values of \( x \) is
A \( .(\cos 1,1] \)
B. \( (\cos 1,-\cos 1) \)
c. \( (\cot 1,1] \)
D. none of these
Subject: Physics
In biprism experiment the fringes are observed in the focal plane of the eyepiece at a distance of \( 1.2 \mathrm{m} \) from slit.
The distance between the
central bright band and the \( 20^{t h} \) bright
band is \( 0.4 \mathrm{cm} . \) When convex lens is
interposed between the biprism and eyepiece, at a distance of \( 90 \mathrm{cm} \) from the eyepiece, the distance between two magnified virtual images is found to be \( 0.9 \mathrm{cm} . \) Find the wavelength of light used.
Subject: Maths
If \( \boldsymbol{y}=(\boldsymbol{x}+\sqrt{\boldsymbol{x}^{2}+\boldsymbol{a}^{2}})^{n} \) then \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}= \)
\( A \cdot y \)
в. \( n y \)
c. \( \frac{n y}{\sqrt{x^{2}+a^{2}}} \)
D. \( \frac{y}{\sqrt{x^{2}+a^{2}}} \)
Subject: Chemistry
At \( 100^{0} C, \) the gaseous reaction \( A \rightarrow \)
\( 2 B+C \) is found to be of first order
Starting with pure \( A, \) if at the end of 10 min, the total pressure of the system is \( 140 \mathrm{mm} \) and after a long time it is 300
\( \mathrm{nm}, \) the partial pressure of \( \boldsymbol{A} \) at the end of \( 10 \mathrm{min} \) is:
A. 70 mm
B. 160 mm
\( c \cdot 60 \mathrm{mm} \)
D. 80 mm
Subject: Chemistry
\( R H_{2} \) (ion exchange resin) can replace
\( C a^{2+} \) in hard water:
\[
\boldsymbol{R} \boldsymbol{H}_{2}+\boldsymbol{C} \boldsymbol{a}^{2+} \rightarrow \boldsymbol{R} \boldsymbol{C} \boldsymbol{a}+\boldsymbol{2} \boldsymbol{H}^{+}
\]
\( 1 L \) of hard water after passing through
\( R H_{2} \) has \( p H=2 . \) Hence, hardness in
ppm of \( \boldsymbol{C a}^{2+} \) is :
A . 200
в. 100
c. 50
D. 125
Subject: Maths
If \( \boldsymbol{x}+\boldsymbol{y}+\boldsymbol{z}=\boldsymbol{\pi}, \boldsymbol{\operatorname { t a n } \boldsymbol { x }} \boldsymbol{\operatorname { t a n } \boldsymbol { y }}=\boldsymbol{2}, \tan \boldsymbol{x}+ \)
tany\( + \)tanz\( =6 \) then
This question has multiple correct options
A. \( x=m \pi+\pi / 4 \)
В. \( y=n \pi+\tan ^{-1} 2 \)
\( \mathbf{c} \cdot z=l \pi+\tan ^{-1} 3 \)
D. all are correct \( (l, m, n \varepsilon I) \)
Subject: Physics
Two cars start off to race with velocities
\( 4 m / s \) and \( 2 m / s \) and travel in straight line with uniform accelerations \( 1 m / s^{2} \) and \( 2 m / s^{2} \) respectively. If they reach the final point at the same instant, then
the length of the path is
A . \( 30 m \)
B. \( 32 m \)
c. \( 20 m \)
D. \( 24 m \)
Subject: Maths
State true or false.
\( \mathbf{1 9 9 . 1}+\mathbf{1 9 7} . \mathbf{3}+\mathbf{1 9 5 . 5}+\ldots . \mathbf{3 . 1 9 7}+ \)
\( 1.397=666700 \)
A. True
B. False
Subject: Maths
Solve:
\( \lim _{\boldsymbol{y} \rightarrow \mathbf{7}} \frac{\boldsymbol{y}^{2}-\boldsymbol{4} \boldsymbol{y}-\boldsymbol{2} \mathbf{1}}{3 \boldsymbol{y}^{2}-17 \boldsymbol{y}-\mathbf{2 8}} \)
Subject: Maths
If \( M=\{b, h, i\} ; N=\{b, c, d, e\} \) and
\( \boldsymbol{S}=\{\boldsymbol{e}, \boldsymbol{f}, \boldsymbol{g}\}, \) determine \( \boldsymbol{M} \cap \boldsymbol{N} \cap \boldsymbol{S} \)
and represent it in a Venn diagram.
Subject: Maths
Eliminate the arbitrary constants and obtain the differential equation satisfied by it: \( \boldsymbol{y}=\left(\frac{\boldsymbol{a}}{\boldsymbol{x}^{2}}\right)+\boldsymbol{b} \boldsymbol{x} \)
A \( \cdot x^{2} y^{\prime \prime}+2 x y^{\prime}-2 y=0 \)
B . \( x^{2} y^{\prime \prime}+2 x^{2} y^{\prime}-2 y=0 \)
C \( \cdot x^{2} y^{\prime \prime}+2 x y^{\prime}+2 x y=0 \)
D. \( x^{2} y^{\prime \prime}-2 x y^{\prime}+2 x y=0 \)
Subject: Biology
Choose the correct answer from the
alternatives given.
In normal heart action:
A. right atrium and ventricle contract, followed by the contraction of the left atrium and ventricle
B. two atria contract together, then the two ventricles contract together
C. right atrium and left ventricle contract, followed by the contraction of the left atrium and right ventricle
D. all four chambers of the heart contract and then relax
simultaneously
Subject: Chemistry
Consider the following process \( \Delta \boldsymbol{H}(\boldsymbol{k} \boldsymbol{J} / \boldsymbol{m o l}) \)
\( \frac{1}{2} \boldsymbol{A} \rightarrow \boldsymbol{B}+\mathbf{5 0} \)
\( \mathbf{3} \boldsymbol{B} \rightarrow \mathbf{3} \boldsymbol{C}+\boldsymbol{D}-\mathbf{1 2 5} \)
\( \boldsymbol{E}+\boldsymbol{A} \rightarrow \mathbf{2} \boldsymbol{D}+\mathbf{3 5 0} \)
For \( \boldsymbol{B}+\boldsymbol{D} \rightarrow \boldsymbol{E}+\mathbf{2} \boldsymbol{C}, \boldsymbol{\Delta} \boldsymbol{H} \) will be:
A . 325 kJ/mol
B. 525 kJ/mol
c. - 375 kJ/mol
D. -325 kJ/mol
Subject: Physics
An insect trapped in a circular groove of radius \( 12 \mathrm{cm} \) moves along the groove steadily and complete 8 revoluation in 100s,then angular velocity of insect is equal to
A. \( 0.44 \mathrm{rad} / \mathrm{s} \)
B. 0.50 rad/s
c. \( 0.66 \mathrm{rad} / \mathrm{s} \)
D. \( 0.77 \mathrm{rad} / \mathrm{s} \)
Subject: Physics
The frequency and the intensity of a
beam of light falling on the surface of a
photoelectric material are increased by
a factor of two. This will:
A. Increase the maximum kinetic energy of the photoelectrons by 2 and photoelectric current by a factor of \( 1 / 2 \)
B. Increase the maximum kinetic energy of the photoelectrons, and increase the photoelectric current by a factor of 2
C. Increase the maximum kinetic energy of the photoelectrons by a factor of 2 and will have no effect on the magnitude of the photoelectric current produced
D. Not produced any effect on the kinetic energy of the emitted electrons but will increase the photoelectric current by a factor of 2
Subject: Maths
A cylindrical tube of radius \( 12 \mathrm{cm} \)
contains water upto a depth of \( 20 \mathrm{cm} . \) A spherical iron ball is dropped into the tube and thus the level of water is
raised by \( 6.75 \mathrm{cm} . \) The radius of the ball
is
A . \( 4.5 \mathrm{cm} \)
B. \( 6 \mathrm{cm} \)
\( c .7 .25 \mathrm{cm} \)
D. \( 9 \mathrm{cm} \)
Subject: Chemistry
Which of the following electronic configurations in the outermost shell is
characteristic of alkali metals?
A \( \cdot(n-1) s^{2} p^{6} n s^{2} p^{1} \)
B . \( (n-1) s^{2} p^{6} d^{10} n s^{1} \)
C \( \cdot(n-1) s^{2} p^{6} n s^{1} \)
D \( \cdot n s^{2} n p^{6}(n-1) d^{1} \)
Subject: Chemistry
1.0 g magnesium atoms in vapour phase absorbs \( 50.0 \mathrm{kJ} \) of energy to
convert all Mg into Mg ions. The energy absorbed is needed for the following changes:
\[
\boldsymbol{M} \boldsymbol{g}(\boldsymbol{g}) \longrightarrow \boldsymbol{M} \boldsymbol{g}^{+}(\boldsymbol{g})+\boldsymbol{e} ; \boldsymbol{\Delta} \boldsymbol{H}=
\]
\( 740 k J m o l^{-1} \)
\[
\begin{array}{c}
\boldsymbol{M} \boldsymbol{g}^{+}(\boldsymbol{g}) \longrightarrow \boldsymbol{M} \boldsymbol{g}^{2+}(\boldsymbol{g})+\boldsymbol{e} ; \boldsymbol{\Delta} \boldsymbol{H}= \\
\mathbf{1 4 5 0} \boldsymbol{k} \boldsymbol{J} \boldsymbol{m o l}^{-1}
\end{array}
\]
Find out the \( \% \) of \( M g^{+} \) and \( M g^{2+} \) in the final mixture
A . \% \( M g^{+}=68.28 \% \), \% of \( M g^{2+}=31.72 \% \)
B . \% \( M g^{+}=58.28 \% \), \% of \( M g^{2+}=41.72 \% \)
c. \% \( M g^{+}=78.28 \% \), \% \( o f M g^{2+}=21.72 \% \)
D. None of these
Subject: Physics
Three points charges are placed at the
corners of an equilateral triangle of side
\( L \) shown in the figure.
This question has multiple correct options
A. The potential at the centroid of the triangle is zero
B. The electric field at the centroid of the triangle is zero
C. The dipole moment of the system is \( \sqrt{2} q L \)
D. The dipole moment of the system is \( \sqrt{3} q L \)
Subject: Chemistry
Sodium benzoate gives benzene in presence of following:
\( \mathbf{A} \cdot N a O H+C a O \)
B. \( K_{2} C r_{2} O_{7}+H_{2} S O_{4} \)
\( \mathrm{c} \cdot \mathrm{H}_{2} \mathrm{SO}_{4} \)
D. \( C r_{2} O_{3} \)
Subject: Physics
A 2 MeV proton is moving perpendicular to a uniform magnetic field of 2.5 tesla. The force on the proton is
В. \( 7.6 \times 10^{-11} N \)
c. \( 2.5 \times 10^{-11} N \)
D. \( 7.6 \times 10^{-12} N \)
Subject: Physics
A sound is moving towards stationery with \( \frac{1}{10} \) the sound. The ratio of apparent to real frequency is
A \( \cdot \frac{10}{9} \)
в. \( \left(\frac{10}{9}\right)^{2} \)
c. \( \left(\frac{11}{10}\right)^{2} \)
D. \( \frac{11}{10} \)
Subject: Chemistry
An electrolytic cell contains a solution
of \( A g_{2} S O_{4} \) and has platinum
electrodes. A current is passed until
\( 1.6 g \) of \( O_{2} \) has been liberated at anode. The amount of silver deposited at cathode will be
A. \( 108 g \)
B. \( 1.6 g \)
\( \mathrm{c} .0 .8 \mathrm{g} \)
D. 21.60 \( g \)
Subject: Physics
A sound wave travels at a speed of 339
\( \mathrm{m} / \mathrm{s} . \) If its wavelength is \( 1.5 \mathrm{cm}, \) what is
the frequency of the wave?
A \( .2600 H z \)
B . \( 2200 H z \)
c. \( 2260 H z \)
D. \( 22600 \mathrm{Hz} \)
Subject: Chemistry
A viral preparation was inactivated in a chemical bath. The inactivation process was found to be first order in virus
concentrations. At the beginning of the experiment, \( 2.0 \% \) of the virus was found
to be inactivated per minute. The k for
inactivation process is:
A \( \cdot 3 \times 10^{-4} s^{-1} \)
В. \( 4 \times 10^{-4} s^{-1} \)
c. \( 5 \times 10^{-4} s^{-1} \)
D. \( 6 \times 10^{-4} s^{-1} \)
Subject: Physics
A gramophone disc is rotating at 78 rotations per minute. Due to power cut,
it comes to rest after \( 30 s \). The angular retardation of the disc will be :
A. 0.27 radians \( / \sec ^{2} \)
B. 0.127 radians \( / \) sec \( ^{2} \)
c. 12.7 radians \( / \mathrm{secc}^{2} \)
D. zero.
Subject: Chemistry
The degree of dissociation of \( \boldsymbol{P C l}_{5}(\boldsymbol{\alpha}) \)
obeying the equilibrium,
\[
\boldsymbol{P C l}_{5}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{P C l}_{3}(\boldsymbol{g})+\boldsymbol{C l}_{2}(\boldsymbol{g})
\]
is approximately related to the pressure at equilibrium by :
\( A \cdot \alpha \propto P \)
в.
\[
\alpha \propto \frac{1}{\sqrt{P}}
\]
\( c \)
\[
\alpha \propto \frac{1}{P^{2}}
\]
\( D \)
\[
\alpha \propto \frac{1}{P^{4}}
\]
Subject: Chemistry
\( \boldsymbol{C H}_{2}=\boldsymbol{C H}_{2}+\boldsymbol{H}_{2} \frac{N i / 300^{0} \boldsymbol{C}}{\longrightarrow} \boldsymbol{C H}_{3}- \)
\( \boldsymbol{C H}_{3} \)
The above reaction is known as:
A. Kolbe's
B. Wurtz
c. Sabatier - Senderens
D. Berthelot
Subject: Chemistry
The \( \Delta H_{t}^{\circ} \) for \( C O_{2(g)}, C O_{(g)} \) and \( H_{2} O_{(g)} \)
are -393.5,-110.5 and \( -241.8 k J \) mol \( ^{-1} \) respectively the
standard enthalpy change (in \( \boldsymbol{K} \boldsymbol{J} \) ) for
the reaction \( C O_{2(g)}+H_{2(g)} \rightarrow C O_{(g)}+ \)
\( \boldsymbol{H}_{2} \boldsymbol{O}_{(g)} \) is:
\( \mathbf{A} \cdot 524 \cdot 1 \)
B. 41.2
c. 262.5
D. -41.2
Subject: Chemistry
An acid \( H A \) ionises as
\( \boldsymbol{H} \boldsymbol{A} \rightleftharpoons \boldsymbol{H}^{+}+\boldsymbol{A}^{-} \)
The pH of \( 1.0 \mathrm{M} \) solution is \( 5 . \) Its dissociation constant would be:
Subject: Physics
A thin spherical shell lying on a rough horizontal surface is hit by a cue in such a way that line of action passes
through the center of the shell. As a result, shell starts moving with a linear
speed \( \nu \) without any initial angular
velocity. Find the linear velocity of the shell when it starts pure rolling.
A \( \cdot \frac{3}{5} \nu \)
B. \( 2_{-\nu} \)
\( c \cdot 4 \)
D. None
Subject: Chemistry
Balance the following equation by ion electron method.
\( \boldsymbol{C o}^{2+}+\boldsymbol{N} \boldsymbol{O}_{2}^{-}+\boldsymbol{H}^{+} \rightarrow \boldsymbol{C} \boldsymbol{o}^{3+}+ \)
\( N O+H_{2} O \)
Subject: Physics
A wire shaped as a circle of radius \( \mathrm{R} \)
rotates about the axis \( 00^{\prime} \) with an
angular velocity \( \omega \) as shown in figure.
Resistance of the circuit is \( R \). Find the
mean thermal power generated in the
loop during a period of a rotation.
A \( \cdot \frac{\left(B \pi a^{2} \omega\right)^{2}}{4 R} \)
B. \( \frac{\left(B \pi a^{2} \omega\right)^{2}}{2 R} \)
\( ^{\mathbf{C}} \cdot \frac{\left(3 B \pi a^{2} \omega\right)^{2}}{2 R} \)
D. None of these
Subject: Maths
f \( \boldsymbol{A}+\boldsymbol{B}+\boldsymbol{C}=\boldsymbol{\pi}, \) then
\( \left|\begin{array}{ccc}\tan (\boldsymbol{A}+\boldsymbol{B}+\boldsymbol{C}) & \tan \boldsymbol{B} & \tan C \\ \tan (\boldsymbol{A}+\boldsymbol{C}) & \boldsymbol{0} & \tan \boldsymbol{A} \\ \tan (\boldsymbol{A}+\boldsymbol{B}) & -\tan \boldsymbol{A} & \boldsymbol{0}\end{array}\right| \)
equal to
\( \mathbf{A} \cdot \mathbf{0} \)
B.
\( c . \) tan AtanBtan
D. -2
Subject: Chemistry
Solubility of salt \( X \) in water is 32 at \( 30^{\circ} \)
C. Calculate the amount of solvent
present in 500 g of saturated solution of \( X \)
A. \( 160 \mathrm{g} \)
в. 379 g
c. \( 460 \mathrm{g} \)
\( D \cdot 68 g \)
Subject: Biology
Assertion
Respiratory pathway is an amphibolic pathway.
Reason
In respiration there is breakdown of many substance (catabolism) and
synthesis of many substance (anabolism) by respiratory intermediates.
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 following real numbers have decimal expansions as given below. In each case, decide whether they are
rational or not. If they are rational or not. If they are rational, and of them \( \frac{p}{q}, \) what can you say about the prime factors of \( q \)
\( ? \)
¡) 43.123456789
¡i) 0.120120012000120000....
iii) \( 43 . \overline{123456789} \)
Subject: Physics
The self inductance of two solenoids \( A \)
\( \& \mathrm{B} \) having equal length are same. If the number of turns in two solenoids \( A \& B \)
are 100 and 200 respectively. The ratio
of radii of their cross-section will be
A . 2: 1
B. 1: 2
c. 1: 4
D. 4: 1
Subject: Maths
Sum to infinite terms the following
series:
\( \mathbf{1}+\mathbf{3} \boldsymbol{x}+\mathbf{5} \boldsymbol{x}^{2}+\mathbf{7} \boldsymbol{x}^{3}+\ldots .,|\boldsymbol{x}|<\mathbf{1} \)
Subject: Maths
A unit vector is represented as \( 0.8 \hat{i}+ \) \( b \hat{j}+0.4 \hat{k} . \) Hence the value of \( b \) must be
A . 0.4
B. \( \sqrt{0.6} \)
\( c .0 .2 \)
D. \( \sqrt{0.2} \)
Subject: Chemistry
\( \mathbf{A} \)
\( 0.5 d m^{3} \) flask contains gas \( A \) and 1
\( d m^{3} \) flask contains gas \( B \) at the same temperature. If density of \( \boldsymbol{A}=\mathbf{3} \boldsymbol{g} / \boldsymbol{d} \boldsymbol{m}^{3} \)
and that of \( B=1.5 g / d m^{3} \) and the
molar mass of \( \boldsymbol{A}=\mathbf{1} / \mathbf{2} \) of \( \boldsymbol{B}, \) the ratio
of pressure exerted by gases is:
\( ^{A} \cdot \frac{P_{A}}{P_{B}}=2 \)
в. \( \frac{P_{A}}{P_{B}}=1 \)
c. \( \frac{P_{A}}{P_{B}}=4 \)
D. \( \frac{P_{A}}{P_{B}}=3 \)
Subject: Chemistry
The standard reduction potential of
\( E_{B i^{3+} / B i}^{o} \) and \( E_{C u^{2+} / C u}^{o} \) are \( 0.226 \mathrm{V} \) and
\( 0.344 \mathrm{V} \) respectively. A mixture of salts of Bi and Cu at unit concentration each
is electrolysed at \( 25^{\circ} \mathrm{C} \). To what value
\( \operatorname{can}\left[C u^{2+}\right] \) be brought down before
bismuth starts to deposit during electrolysis?
В. \( 10^{-3} M \)
\( \mathbf{c} \cdot 10^{-5} M \)
D. \( 10^{-6} M \)
Subject: Maths
Eliminating \( a, b, c \) from \( x=\frac{a}{b-c}, y= \)
\( \frac{b}{c-a}, z=\frac{c}{a-b} \) we get
\( \mathbf{A} \cdot\left|\begin{array}{lll}1 & -x & x \\ 1 & -y & y \\ 1 & -z & z\end{array}\right|=0 \)
B. \( \left|\begin{array}{ccc}1 & -x & x \\ 1 & 1 & -y \\ 1 & z & 1\end{array}\right|=0 \)
c. \( \left|\begin{array}{ccc}1 & -x & x \\ y & 1 & -y \\ -z & z & 1\end{array}\right|=0 \)
D. none of these
Subject: Chemistry
Rearrange the following compounds in the increasing order of their boiling points:
\( \boldsymbol{C H}_{3}-\boldsymbol{C H O}, \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}- \)
\( \boldsymbol{O} \boldsymbol{H}, \boldsymbol{C} \boldsymbol{H}_{3}-\boldsymbol{C} \boldsymbol{H}_{2}-\boldsymbol{C} \boldsymbol{H}_{3} \)
Subject: Maths
In the Venn diagram, \( \boldsymbol{\xi} \) F UG \cup \( \boldsymbol{H} \). The
shaded region represents:
\( \mathbf{A} \cdot G^{\prime} \cap F \)
\( \mathbf{B} \cdot(F \cap H) \cup G^{\prime} \)
\( \mathbf{c} \cdot(F \cap H) \cap G^{\prime} \)
\( \mathbf{D} \cdot(F \cap G)^{\prime} \cap H \)
Subject: Physics
Assertion
When super charged particles enter the earth's atmosphere from the solar wind they tend to be channeled toward the
poles.
Reason
This is due to magnetic forces causing
them to spiral around the magnetic
field lines of the earth.
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
Assertion
Magnetic force between two short
magnets, when they are co-axial follows
inverse square law of distance.
Reason
The magnetic forces between two poles
do not follow inverse square law of
distance.
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 qualitative sketches I, II and III
given below show the variation of surface tension with molar
concentration of three different
aqueous solutions of \( \boldsymbol{K} \boldsymbol{C l}, \boldsymbol{C H}_{3} \boldsymbol{O H} \)
and \( \$ \$ \mathrm{CH}_{-}\{3\} \)
\( \left(\mathrm{CH}_{-}\{2\}\right)_{-}\{11\} 0 \mathrm{SO} \)
\{3\}\( \wedge\{-\} \mathrm{Na} \wedge\{+\} \$ \$ \) at
room temperature The correct assignment of the sketches
is
A \( \cdot I: K C l ; I I: C H_{3} O H ; I I I: C H_{3}\left(C H_{2}\right)_{11} O S O_{3}^{-} N a^{+} \)
B . \( I: C H_{3}\left(C H_{2}\right)_{11} O S O_{3}^{-} N a^{+} I I: C H_{3} O H ; I I I: K C l \)
C. \( I: K C l ; I I: C H_{3}\left(C H_{2}\right)_{11} O S O_{3}^{-} N a^{+} ; I I I: C H_{3} O H \)
D. \( I: C H_{3} O H ; I I: K C l ; I I I: C H_{3}\left(C H_{2}\right)_{11} O S O_{3}^{-} N a^{+} \)
Subject: Biology
Assertion
Oral Rehydration Therapy (ORT) has been strongly recommended for reducing infant mortality.
Reason
Gastrointestinal problems are very common among children especially in the developing countries
A. Both A and R are true but R is the correct explanation of A
B. Both A and R are true but R is not a correct explanation of A
c. A is true but R is false
D. A is false but R is true
Subject: Physics
A body is projected up such that its
position vector with time as \( \vec{r}= \)
\( \left\{3 t \hat{i}+\left(4 t-5 t^{2}\right) \hat{j}\right\} m . \) Here, tis in
seconds.
Find the time and \( x- \) coordinate of
particle when its \( y- \) coordinate is zero.
Subject: Chemistry
\( \ln s p^{3} d^{3} \) hybridisation, which orbitals are involved?
A \( \cdot d_{x^{2}-y^{2}}, d_{z^{2}}, d_{x y} \)
B . \( d_{x y}, d_{y z}, d_{z x} \)
c. \( d_{x^{2}-y^{2}}, d_{x y}, d_{x z} \)
D. \( d_{z^{2}}, d_{y z}, d_{z x} \)
Subject: Physics
The drift speed of the conduction
electrons is:
A. \( 2.5 \mathrm{cm} / \mathrm{s} \)
B. \( 5 \mathrm{cm} / \mathrm{s} \)
c. \( 7.5 \mathrm{cm} / \mathrm{s} \)
D. \( 15 \mathrm{cm} / \mathrm{s} \)