AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
A very small circular loop of radius \( a \) is
initially \( (a t t=0) \) coplanar and
concentric with a much larger fixed
circular loop of radius \( b \). A constant
current \( I \) flows in the larger loop. The smaller loop is rotated with a constant
angular speed \( \omega \) about the common diameter. The emf induced in the
smaller loop as a function of time \( t \) is:
\( ^{\mathbf{A}} \cdot \frac{\pi a^{2} \mu_{0} I}{2 b} \omega \cos (\omega t) \)
в. \( \frac{\pi a^{2} \mu_{0} I}{2 b} \omega \sin \left(\omega^{2} t^{2}\right) \)
\( ^{\text {c. }} \frac{\pi a^{2} \mu_{0} I}{2 b} \omega \sin (\omega t) \)
D \( \cdot \frac{\pi a^{2} \mu_{0} I}{2 b} \omega \sin ^{2}(\omega t) \)
Subject: Physics
On a new scale of temperature (which is linear) and called the \( \mathrm{W} \) scale, the
freezing and boiling points of water are \( 39^{\circ} \mathrm{W} \) and \( 239^{\circ} \mathrm{W} \) respectively. What will be the temperature on the new scale, corresponding to a temperature of \( 39^{\circ} \mathrm{C} \) on the Celsius scale?
В . \( 139^{\circ} \mathrm{W} \)
\( \mathbf{c} \cdot 78^{\circ} W \)
D. \( 117^{\circ} W \)
Subject: Physics
Two radioactive materials \( \boldsymbol{X}_{1} \) and \( \boldsymbol{X}_{2} \)
have decay constants \( 6 \lambda \) and \( 3 \lambda \) respectively. If initially they have the same number of nuclei, then the ratio of
the number of nuclei of \( X_{1} \) to that of \( X_{2} \) will be \( \frac{1}{e} \) after a time.
A \( \cdot \frac{1}{6 \lambda} \)
B. \( \frac{1}{3 \lambda} \)
c. \( \frac{3}{6 \lambda} \)
D. \( \frac{6}{9 \lambda} \)
Subject: Physics
Two identical containers \( A \) and \( B \) with
frictionless pistons contain the same ideal gas at the same temperature and
the same volume \( V \). The mass of \( \operatorname{gas} \) in \( A \)
is \( m_{A} \) and that in \( B \) is \( m_{B} . \) The gas in
each cylinder is now allowed to expand isothermally to the same final volume \( 2 V \)
The changes in the pressure in \( A \) and \( B \)
are found to be \( \triangle p \) and \( 1.5 \triangle p \)
respectively. Then
\( \mathbf{A} \cdot 4 m_{A}=9 m_{B} \)
в. \( 2 m_{A}=3 m_{B} \)
\( \mathbf{c} \cdot 3 m_{A}=2 m_{B} \)
D. \( 9 m_{A}=4 m_{B} \)
Subject: Chemistry
Which of the following atoms and ions are iso electronic(i.e have the same
number of electrons) with a neon atom:
\( \mathbf{C}, \mathbf{O}^{2-}, \mathbf{N}^{-}, \mathbf{F}^{+}, \mathbf{N a}^{+}, \mathbf{A} \mathbf{l}^{\mathbf{3}+} \)
A \( \cdot \mathrm{N}^{-}, \mathrm{Na}^{+}, \mathrm{Al}^{3+} \)
B. \( c, O^{2}-, N a^{+}, F^{+} \)
\( \mathbf{c} \cdot \mathbf{0}^{2-}, \mathbf{N a}^{+},\left.\mathbf{A}\right|^{3} \)
D. \( c, 0^{2}-, F^{+},\left.A\right|^{3+} \)
Subject: Chemistry
\[
C H_{3} O-C H=C H-N O_{2}
\]
ne
\( C H_{2}=C H-N O_{2} \) \( C H_{2}=C H-C l \)
\[
C H_{2}=C H_{2}
\]
Which of the following is the correct order of \( C=C \) bond lengths among
these compounds?
A \( I>I I>I I I>I V \)
\( V \)
в. \( I V>I I I>I I>I \)
c. \( I>I I I>I I>I V \)
D. \( I I>I I I>I>I V \)
Subject: Biology
Assertion
In mammals, complex respiratory
system has developed.
Reason
Mammalian skin is impermeable to
gases.
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 \( X, Y, Z \) are the three sums of money
such that \( Y \) is a simple interest on \( X \)
and \( Z \) is a simple interest on \( Y \) for
same time and rate, then
\( \mathbf{A} \cdot X^{2}=Y Z \)
В. \( Y^{2}=Z X \)
c. \( Z^{2}=X Y \)
D. \( X Y Z=1 \)
Subject: Physics
Match the following
1. Horse-shoe
a. Holds the armature in
magnet place
2. Armature
b. Electromagnet
c. Passes electric current to the
3. Spring strip \( \quad \) spring strip
4. Adjusting
d. Fixed to the spring strip screw
\( \mathbf{A} \cdot 1-d, 2-a, 3-c, 4-b \)
B. \( 1-a, 2-c, 3-b, 4-d \)
\( \mathbf{c} \cdot 1-b, 2-d, 3-a, 4-c \)
D. \( 1-c, 2-b, 3-d, 4-a \)
Subject: Chemistry
Vapour Pressure of a mixture of
benzene and toluene is given by \( \boldsymbol{P}= \)
\( \mathbf{1 7 9 X}_{B}+\mathbf{9 2}, \) Where \( \boldsymbol{X}_{B} \) is mole
fraction of benzene.
If Vapours are removed and condensed
in to liquid then what will be the ratio of mole fraction of benzene and toluene in
first condensate:
A . 2.8
B. 1.5
c. 3.
D. 4.5
Subject: Maths
\( \int_{0}^{a} \frac{x-a}{x+a} d x= \)
\( \mathbf{A} \cdot a+2 a \log 2 \)
B. \( a-2 a \log 2 \)
c. \( 2 a \log -a \)
D. \( 2 a \log 2 \)
Subject: Chemistry
The solubility of \( \mathrm{CaF}_{2}\left(\mathrm{K}_{s p}=5.3 \times 10^{-9}\right. \)
in \( 0.1 \mathrm{M} \) solution of NaF would be :
(Assume no reaction of cation/anion).
B. \( 5.3 \times 10^{-8} \) М
c. \( 5.3 \times 10^{-7} \) М
D. \( 5.3 \times 10^{-11} \) М
Subject: Chemistry
(a) State the postulates of Daltons atomic theory.
(b) Calculate the concentration in terms of mol/kg when 6.35 g of KCl is dissolved in \( 300 g \) of water. \( [\text { At mass of } \mathrm{K}=39 \mathrm{u}, \mathrm{At} \) mass of \( \mathrm{Cl}=35.5 \mathrm{u}] \)
Subject: Physics
A solid cylinder of mass \( 20 k g \) rotates about its axis with angular speed
100rads \( ^{-1} \). The radius of the cylinder is
\( 0.25 m . \) What is the kinetic energy associated with the rotation of cylinder? What is the magnitude of angular momentum of cylinder about its axis?
A. \( 62.5 T-s \)
B. \( 70.4 T-s \)
c. \( 79.6 T-s \)
D. \( 60.5 T-s \)
Subject: Maths
The 17 th term of an AP exceeds its 10 th
term by \( 7 . \) Find the common difference
A \( \cdot \frac{3}{7} \)
B. \( \frac{-3}{7} \)
\( c \cdot \frac{7}{3} \)
D. \( \frac{-7}{3} \)
Subject: Maths
For the function \( f \) graphed in the \( x y- \)
plane above, if \( \boldsymbol{f}(-\mathbf{2 . 5})=\boldsymbol{k}, \) then find
\( \boldsymbol{f}(\mathbf{2 k}) ? \)
A . 0
B.
c. 1.5
D. 2
E . 0.5
Subject: Physics
If a source emitting waves of frequency
\( f \) moves towards an observer with a
velocity \( \frac{v}{4} \) and the observer moves away
from the source with a velocity \( \boldsymbol{v} / \boldsymbol{6}, \) the
apparent frequency as heard by the observer will be \( (v= \) velocity of sound)
A \( \cdot \frac{14}{15} \)
B. \( \frac{14}{9} \)
c. \( \frac{10}{9} \)
D. \( \frac{2}{3} f \)
Subject: Chemistry
Few figures are expressed in scientific notation. mark the incorrect one.
A \( \cdot 234000=2.34 \times 10^{5} \)
В. \( 8008=8 \times 10^{3} \)
c. \( 0.0048=4.8 \times 10^{-3} \)
D. \( 500.0=5.00 \times 10^{2} \)
Subject: Physics
A physical quanity \( P \) is releated to four
observation \( a, b, c \) and \( d \) as follows \( P= \)
\( a^{3} b^{3} / \sqrt{c d T h e} \) percentage errors of
measurement in \( a, b, c \) and \( 1 \%, 3 \%, 4 \% \)
and \( 2 \% \) repectively. What is the
percentage erros in quanity \( P \) ? If the
value of \( \boldsymbol{P} \). Calculated using the above
relations turns out to +ve \( 3.763, \) to what value you should round off the result?
Subject: Chemistry
The homogeneous reaction is carried out in a 2 -litre container at a particular
temperature by taking 1 mole each of A,
B, \( C \) and \( D \) respectively. If \( K_{C} \) for the
reaction is \( \frac{1}{4} \) then the equilibrium concentration of \( \mathrm{C} \) is :
\( \boldsymbol{A}(\boldsymbol{g})+\boldsymbol{B}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{C}(\boldsymbol{g})+\boldsymbol{D}(\boldsymbol{g}) \)
A \( \cdot \frac{1}{3} M \)
в. \( \frac{2}{3} \)
\( ^{c} \cdot \frac{4}{3}^{M} \)
D. \( \frac{1}{2} M \)
Subject: Physics
Find the distance between the centre of
gravity and centre of mass of a twoparticle system attached to the ends of
light rod. Each particle has the same
mass. Length of the rod is \( R \), where \( R \) is the radius of the earth.
\( A \cdot R \)
в. \( \frac{R}{2} \)
\( c . \) zer
D. \( \frac{R}{4} \)
Subject: Chemistry
If a substance gains oxygen during a reaction, it is being oxidized. If it loses oxygen, it is being reduced. Oxidation and Reduction always take place together, so that if one substance is oxidized, another is reduced. Using this idea, say which substance is oxidised and which substance is reduced in each
reaction
¡) \( M g+O_{2} \rightarrow 2 M g O \)
\( (s) \)
\( (s) \)
ii) \( Z n O+C \rightarrow Z n+C O \)
iii) \( F e_{2} O_{3}+3 C O \rightarrow 2 F e+3 C O_{2} \)
iv) \( C r_{2} O_{3}+2 A l \rightarrow 2 C r+A l_{2} O_{3} \)
Subject: Maths
Using binomial theorem, expand \( \{(x+ \) \( \left.y)^{5}+(x-y)^{5}\right\} \) and hence find the
value of \( \left\{(\sqrt{\mathbf{2}}+\mathbf{1})^{\mathbf{5}}+(\sqrt{\mathbf{2}}-\mathbf{1})^{\mathbf{5}}\right\} \)
Subject: Chemistry
Which among the following are
intramolecular redox reactions?
This question has multiple correct options
A. \( P C l_{5} \rightarrow P C l_{3}+C l_{2} \)
в. \( C H O-C H O+O H^{-} \rightarrow C O O^{-}-C H_{2} O H \)
c. \( 2 K C l O_{3} \rightarrow 2 K C l+3 O_{2} \)
D. \( N H_{4} N O_{2} \longrightarrow N_{2}+2 H_{2} O \)
Subject: Chemistry
Which of the hydrated species can
exist?
\( \boldsymbol{I}: \boldsymbol{H}_{5} \boldsymbol{O}_{2}^{+} \boldsymbol{I I}: \boldsymbol{H}_{3} \boldsymbol{O}^{+} \boldsymbol{I I I} \)
\( \boldsymbol{H}_{3} \boldsymbol{O}_{2}^{-} \quad \boldsymbol{I} \boldsymbol{V}: \boldsymbol{H}_{7} \boldsymbol{O}_{3}^{+} \)
Select alternate from:
A . II only
B. \( I \) and \( I I \)
c. \( I, I I \) and \( I V \)
D. \( I, I I, I I I \) and \( I V \)
Subject: Maths
\( \cos 20^{\circ} \cos 100^{\circ}+\cos 100^{\circ} \cos 140^{\circ}- \)
\( \cos 140^{\circ} \cdot \cos 200^{\circ} \) is equal to
\( A \cdot \frac{3}{4} \)
B. \( \frac{1}{4} \)
\( c \cdot-\frac{1}{4} \)
D. \( -\frac{3}{4} \)
Subject: Chemistry
Which one is correct about a
hypothetical electrochemical cell shown
below?
\( \underset{A}{\Theta}\left|\boldsymbol{A}^{+}(\boldsymbol{X} \boldsymbol{M}) \| \boldsymbol{B}^{+}(\boldsymbol{Y} \boldsymbol{M})\right| \underset{\boldsymbol{B}}{\oplus} \boldsymbol{E}_{c e l l}= \)
\( +0.20 V \)
A. The cell reaction cannot be predicted
B . \( A+B^{+} \rightarrow A^{+}+B \)
\( \mathbf{c} \cdot A^{+}+B \rightarrow A+B^{+} \)
D. \( A^{+}+e \rightarrow A ; B^{+}+e \rightarrow B \)
Subject: Chemistry
A 0.5 M solution of weak electrolyte Nax at 285 K temperature is \( 10 \% \) dissociated. What will be the osmotic
pressure? \( (\boldsymbol{R}=\mathbf{0 . 0 8 2} \mathrm{L} \text { atm/mol / K }) \)
A. 5.2 atm
B. 9.7 atm
c. 12.9 atm
D. 17.8 atm
Subject: Maths
Assem went to a stationary shop and
purchased 3 pens and 5 pencils for Rs.40. His cousin Manik bought 4
pencils and 5 pens for \( R s .58 . \) If cost of 1 pen is \( R s . x, \) then which of the following represents the situation algebraically?
A. \( 3 x+5 y=40,4 x+5 y=58 \)
B. \( 3 x+4 y=40,5 x+5 y=58 \)
c. \( 3 x+5 y=40,5 x+4 y=58 \)
D. \( 3 x+5 y=40,4 x+3 y=58 \)
Subject: Biology
During lactic acid fermentation
\( A \cdot O_{2} \) is used, \( C O_{2} \) is not liberated.
B. \( O_{2} \) is not used, \( C O_{2} \) is liberated.
\( \mathrm{C} \cdot \mathrm{O}_{2} \) is used, \( \mathrm{CO}_{2} \) is liberated.
D. Neither \( O_{2} \) is used, nor \( C O_{2} \) is liberated.
Subject: Physics
A diode made of silicon has a barrier
potential of \( 0.7 ~ V \) and a current of
\( 20 m A \) passes through the diode when
a battery of emf \( 3 V \) and a resistor
is connected to it. The power dissipated across the resistor and diode are
A. \( 0.046 \mathrm{W}, 0.014 \mathrm{W} \)
в. \( 4.6 \mathrm{W}, 0.14 \mathrm{W} \)
c. \( 0.46 W, 0.14 W \)
D. \( 46 W, 14 W \)
Subject: Physics
Assertion
On moon barometer height will be six times compared to the height or earth.
Reason

Value of \( g \) on moon's surface is \( 1 / 10 \) the
value of \( g \) on earth's surface.
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 train at rest has a length of \( 100 \mathrm{m} . \) At what speed must it approach a tunnel of length \( 80 \mathrm{m} \) so that an observer at rest with respect to the tunnel will see
that the entire train is in the tunnel at
one time?
A . 1.25c
B. 0.8ç
c. \( 0.64 c \)
D. 0.6c
E . \( 0.36 c \)
Subject: Chemistry
1.19 g mixture of Cu, Zn and Al contain \( 50 \% \) copper by weight and \( 3 \times 10^{21} \)
atoms of zinc, find gram atoms of
aluminium in given mixture? (Atomic mass of \( \boldsymbol{A l}=\mathbf{2 7} ; \boldsymbol{C u}=\mathbf{6 3 . 5 5}, \boldsymbol{Z n}= \)
\( \mathbf{6 5 . 0} \) ) \( \left[\boldsymbol{N}_{\boldsymbol{A}}=\boldsymbol{6} \times \mathbf{1 0}^{\mathbf{2 3}}\right] \)
A. 0.001
B. 0.27
c. 0.01
D. 0.027
Subject: Physics
In a cyclic heat engine operating between a source temperature of \( 600^{0} C \)
and a sink temperature of \( 20^{0} C \), the least rate of heat rejection per kW net output of the engine is,
A. \( 0.505 \mathrm{kW} \)
B. 0.49 okw
c. \( 0.333 \mathrm{kw} \)
D. none of the above
Subject: Physics
A solid cylinder rolls down an inclined
plane. Its mass is \( 2 k g \) and radius \( 0.1 m \)
If the height of the inclined plane is \( 4 m \) its rotational kinetic energy, when it reaches the foot of the plane is:
A . \( 78.4 \mathrm{J} \)
B. \( 39.2 J \)
c. \( \frac{78.4}{3} \)
D. 19.6 \( J \)
Subject: Physics
The electricity tariff in a town is \( R s .3 .00 \)
per unit. Calculate the cost of running
an \( 80 W \) fan for \( 10 h \) a day for the month
of June.
A . \( R s .12 .00 \)
в. \( R s .52 .00 \)
c. \( R s .72 .00 \)
D. Rs.92.00.
Subject: Maths
The angle made by the line joining the points (2,0) and \( (-4,2 \sqrt{3}) \) with \( x \) axis is -
A \( .120^{\circ} \)
В . \( 60^{\circ} \)
\( \mathbf{c} \cdot 150^{\circ} \)
D. \( 135^{\circ} \)
Subject: Physics
A copper wire of \( 3 m m^{2} \) cross sectional
area carries a current of 5 ampere. The magnitude of the drifty velocity for the electrons in the wire, (Assume copper to
be monovalent, \( M_{C u}=63.5 k g / k \) mol
and density of copper \( =\mathbf{8 9 2 0} \mathbf{k g} / \mathbf{m}^{\mathbf{3}} \) ).
A. \( 0.24 \mathrm{m} / \mathrm{s} \)
В. \( 0.12 \mathrm{m} / \mathrm{s} \)
c. \( 2.4 \mathrm{m} / \mathrm{s} \)
D. \( 0.06 \mathrm{m} / \mathrm{s} \)
Subject: Maths
The number of values of \( k \) for which the
system of equations \( (k+2) x+10 y=k \)
\( \boldsymbol{k} \boldsymbol{x}+(\boldsymbol{k}+\boldsymbol{3}) \boldsymbol{y}=\boldsymbol{k}-\mathbf{1} \)
has infinitely many solutions, is?
\( \mathbf{A} \cdot \mathbf{0} \)
B. 1
c. 2
D. infinite
Subject: Maths
Let for a function \( \boldsymbol{f}(\boldsymbol{x}), \boldsymbol{h}(\boldsymbol{x})= \)
\( (f(x))^{2}+(f(x))^{3} \) for every real
number \( \boldsymbol{x} \). Then

This question has multiple correct options
A. \( h \) is increasing whenever \( f \) is increasing
B. \( h \) is increasing whenever \( f \) is decreasing
C. \( h \) is decreasing whenever \( f \) is decreasing
D. nothing can be said in general
Subject: Maths
Assertion
If \( A \) is a square matrix of order \( n \) then
\( \operatorname{det}(k A)=k^{n}|A| \)
Reason
If matrix \( \mathrm{B} \) is obtained from \( \mathrm{A} \) by multiplying any row (or column) by a
non zero scalar \( k \) then \( \operatorname{det}(B)= \)
\( \boldsymbol{k} \operatorname{det}(\boldsymbol{A}) \)
A. Both (A) \& (R) are individually true \& (R) is correct explanation of \( (A) \)
B. Both (A) \& (R) are individually true but (R) is not the correct (proper) explanation of (A)
c. (A)is true but (R) is false,
D. (A)is false but (R) is true.
Subject: Physics
A particle moves according to the
equation \( \boldsymbol{x}=\mathbf{2} \boldsymbol{t}^{2}-\mathbf{5} \boldsymbol{t}+\boldsymbol{6} . \) The average
velocity in the first \( 3 s \) and velocity at
\( t=3 s \) are repectively
A \( \cdot 1 m s^{-1}, 7 m s^{-1} \)
B. \( 4 m s^{-1}, 3 m s^{-1} \)
\( \mathrm{c} \cdot 2 m s^{-1}, 5 m s^{-1} \)
D. \( 3 m s^{-1}, 7 m s^{-1} \)
Subject: Physics
In a Kundt's tube experiment, the heaps of Iycopodium powder are collected at \( 20 \mathrm{cm} \) separations. The frequency of
tuning fork used is
A \( .660 H z \)
B. \( 825 \mathrm{Hz} \)
\( \mathrm{c} .775 \mathrm{Hz} \)
D. \( 915 ~ H z \)
Subject: Chemistry
The strongest acid among the following is -
\( \mathbf{A} \cdot \mathrm{ClO}_{3}(\mathrm{OH}) \)
B. \( \mathrm{ClO}_{2}(\mathrm{OH}) \)
\( \mathbf{c} \cdot \operatorname{SO}(\mathrm{OH})_{2} \)
\( \mathrm{D} \cdot \mathrm{SO}_{2}(\mathrm{OH})_{2} \)
Subject: Maths
The diagonal passing through origin of a quadrilateral formed by \( \boldsymbol{x}=\mathbf{0}, \boldsymbol{y}= \)
\( \mathbf{0}, \boldsymbol{x}+\boldsymbol{y}=\mathbf{1} \) and \( \boldsymbol{6} \boldsymbol{x}+\boldsymbol{y}=\mathbf{3} \) is
A \( .3 x-2 y=0 \)
в. \( 2 x-3 y=0 \)
c. \( 3 x+2 y=0 \)
D. None of these
Subject: Maths
Consider the letters of the word
'MATHEMATICS'. Possible number of
words in which no two vowels are
together is
A \( \cdot 7 !^{8} C_{2} \frac{4 !}{2 !} \)
в. \( \frac{7 !^{8}}{2 !} C_{4} \frac{4 !}{2 !} \)
c. \( \frac{7 !^{8}}{2 ! 2 !} C_{4} \frac{4 !}{2 !} \)
D. \( \frac{7 !}{2 ! 2 ! 2 !}^{8} C_{4} \frac{4 !}{2 !} \)
Subject: Physics
Two bodies having the same mass, \( 2 \mathrm{kg} \)
each have different surface areas \( 50 \mathrm{m}^{2} \)
and \( 100 \mathrm{m}^{2} \) in contact with a horizontal
plane. If the coefficient of friction is 0.2 the forces of friction that come into play when they are in motion will be in the ratio.
A . 1:
B. 1: 2
c. 2: 1
D. 1: 4
Subject: Biology
Assertion
\( F_{1} \) particles are present in the inner
mitochondrial membrane.
Reason
An electrochemial proton gradient formed on the inner mitochondrial
membrane, forms ATP.
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: Biology
Name the parts labelled \( A, B, C \) and \( D \)
A. A: Kidney, B: Urinary Bladder, C: Urethra, D: Ureter
C. A: Kidney, B: Urethra, C: Collecting duct, D: Anus
D. A: Kidney, B: Seminiferous tubules, C: Uterus, D: Ureter
Subject: Chemistry
In the Rosenmund's reaction,
\( \boldsymbol{R} \boldsymbol{C O C l}+\boldsymbol{H}_{2} \frac{\boldsymbol{P d} / \boldsymbol{B a S O}_{4}}{\boldsymbol{P} \boldsymbol{R} \boldsymbol{H} \boldsymbol{O}+} \)
\( \boldsymbol{H} \boldsymbol{C l} \)
Here \( \boldsymbol{B a S O}_{4} \)
A. promotes catalytic activity of \( P d \)
B. removes the \( H C l \) formed in the reaction
c. deactivates palladium
D. activates palladium
Subject: Physics
A short bar magnet of magnetic
moment \( 0.4 J T^{-1} \) is place in a uniform
magnetic field of 0.16 T. The magnet is stable equilibrium when the potential energy is
\( \mathbf{A} \cdot-0.064 J \)
B. zero
c. \( -0.082 J \)
D. 0.064
Subject: Chemistry
The number of mesostructure in the
following compound is:
HOOC \( \cdot \boldsymbol{C H}\left(\boldsymbol{C H}_{3}\right) \cdot \boldsymbol{C H}(\boldsymbol{O H}) \)
\( \boldsymbol{C H}(\boldsymbol{C l}) \cdot \boldsymbol{C H}(\boldsymbol{O H}) \boldsymbol{C H}\left(\boldsymbol{C H}_{3}\right) \)
COOH
\( A \cdot 3 \)
B. 4
\( c \cdot 8 \)
D. 16
Subject: Physics
One mole of an ideal gas expands against a constant external pressure of
atm from a volume of \( 10 d m^{3} \) to a
volume of \( 30 d m^{3} . \) What would be the
work done in joules?
A \( .-2026 J \)
в. +20265
\( \mathrm{c} .-1947 \mathrm{J} \)
D. \( 1648 J \)
Subject: Chemistry
For the inversion of cane sugar
\( \left(C_{12} H_{22} O_{11}\right) \) obeying I order following
data were obtained.
Time (min.) \( \mathbf{0} \)
rotation of Angle of +20 2.5 solution(degree)
What will be rate constant in \( m i n^{-1} ? \)
\[
(\ln 2=0.7)
\]
A. 0.7
B. 0.14
c. 0.21
D. 0.07
Subject: Chemistry
Determine which of the following match
is correct:
\( \begin{array}{lllll} & \text { List I } & & \text { List II } & \\ & & & & \\ 1 & \text { Phosphorus } & \mathrm{a} & \text { fuel } & \\ 2 & \text { Nitrogen } & \mathrm{b} & \text { lights } & \\ 3 & \text { Carbon } & \mathrm{c} & \text { crackers } \\ 4 & \text { Oxygen } & \mathrm{d} & \text { plant fertilizers } \\ 5 & \text { Neon } & \mathrm{e} & \text { respiration }\end{array} \)
\( A \)
1-e, 2-a, 3-d, 4-c, 5-b
, 4-e, 5-b
B. \( 1-c, 2-d, 3-a, \)
\( c \cdot 1-b, 2-d, 3-e \)
4-a, 5-c
D. \( 1-c, 2-d, 3-b, 4-e, 5-c \)
Subject: Maths
Let \( m \) be a positive integer and \( \Delta_{r}= \) \( \left|\begin{array}{ccc}\mathbf{2 r}-\mathbf{1} & \boldsymbol{m} \boldsymbol{C}_{\boldsymbol{r}} & \mathbf{1} \\ \boldsymbol{m}^{\mathbf{2}}-\mathbf{1} & \mathbf{2}^{\boldsymbol{m}} & \boldsymbol{m}+\mathbf{1} \\ \sin ^{2}\left(\boldsymbol{m}^{2}\right) & \sin ^{2}(\boldsymbol{m}) & \sin ^{2}(\boldsymbol{m}+\mathbf{1})\end{array}\right| \)
\( \boldsymbol{r} \leq \boldsymbol{m}) . \) Then the value of \( \sum_{r=0}^{m} \boldsymbol{\Delta}_{\boldsymbol{r}} \)
\( A . \)
B. \( m^{2}-1 \)
\( c \cdot 2^{m} \)
D \( \cdot 2^{m} \sin ^{2}\left(2^{m}\right) \)
Subject: Maths
Factorize:
\( a^{4}-343 a \)
\( \mathbf{A} \cdot a(a-7)\left(a^{3}+a+36\right) \)
B \( \cdot a(a-7)\left(a^{2}+7 a+49\right) \)
\( \mathbf{c} \cdot a(4 a-7)\left(a^{2}-a+49\right) \)
D. \( a(4 a-7)\left(a^{3}+7 a-36\right) \)
Subject: Chemistry
Which of the following statement is
incorrect?
A. The most electronegative element is fluorine
B. Alkali metals generally have negative value of electron gain enthalpy
C. The oxidation number of \( \sin N a_{2} S_{4} O_{6} \) is greater than
in the case of \( N a_{2} S_{2} O_{3} \)
D. The electronegativity values for \( 2 p \) series elements is less than that for \( 3 p \) series elements on account of small size and high inter electronic repulsion
Subject: Physics
A boat is moving with a velocity \( \vec{v}= \) \( \mathbf{3} \hat{\mathbf{i}}+\mathbf{4} \hat{\mathbf{j}} \) with respect to ground. The
water in the river is moving with a velocity \( \vec{u}=-3 \hat{i}-4 \hat{j} \) with respect to
ground. The relative velocity of boat with
respect to water is :
A \( .6 \hat{i}+8 \hat{j} \)
B.
c. \( 6 \hat{i}-8 \hat{j} \)
D. \( -6 \hat{i}+8 \hat{j} \)
Subject: Maths
The \( D . E \) of the family of concentric
circles with centre at origin is
A. \( x d x+y d x=0 \)
B. \( x=y \frac{d y}{d x} \)
c. \( \frac{d y}{d x}=\frac{y}{x} \)
D. \( \frac{d y}{d x}=\frac{x^{2}}{y^{2}} \)
Subject: Physics
A sonometer wire \( 110 \mathrm{cm} \) long produces a resonance with a tuning fork. When its length is decreased by \( 10 \mathrm{cm}, 9 \) beats per second are heard. The frequency of tuning fork is
\( \mathbf{A} \cdot 90 \mathrm{Hz} \)
B. 85 Н Н
c. 82 Нz
D. \( 75 \mathrm{Hz} \)
Subject: Chemistry
What does Le Chatelier's Principle
state?
A. That any change in a substance on one side of the equation, either in concentration, temperature, pressure or volume, results in an equilibrium shift to oppose the change until a new equilibrium is reached.
B. That the forward rate of a reaction equals the reverse rate of a reaction.
C. That equilibrium is always achieved in any reaction.
D. That any change in a substance on one side of the equation results in an equilibrium shift to increase the change until a new equilibrium is reached.
E. That equilibrium is never achieved in a reaction.
Subject: Chemistry
The reaction, \( 2 S O_{2}(g)+O_{2}(g) \rightleftharpoons \)
\( 2 S O_{3}(g) \) is carried out in a \( 1 d m^{3} \)
vessel and \( 2 d m^{3} \) vessel respectively.
The ratio of the reaction velocities will
be:
\( A \cdot 1: 4 \)
B. 2:4
c. 1: 8
D. 8: 1
Subject: Physics
The given graph shows volume with
time in the source voltage and steady
state current drawn by a series \( \boldsymbol{B} \boldsymbol{L} \boldsymbol{C} \)
circuit:
Which of the following statements
is/are correct?
(a) Current lags the voltage.
(b) Resistance in the circuit is \( 250 \sqrt{\Omega} \)
(c) Reactance in the circuit is \( 250 \Omega \)
(d) Average power dissipation in the
circuit is \( 20 \sqrt{3 \Omega} \)
A. Only a
\( B \cdot a \& b \)
\( c \cdot a, b \& c \)
D. All