AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
STATEMENT-1: The boiling point of
\( C_{2} H_{5} O H \) is less than that of \( H_{2} O \)
though the molecular weight of
\( C_{2} H_{5} O H \) is more than that of water.
STATEMENT-2: \( C_{2} H_{5} O H \) molecules are
not highly associated through hydrogen
bonding as in water.
A. STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-
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: Physics
Transverse waves on a string have wave speed \( 12.0 \mathrm{m} / \mathrm{s}, \) amplitude \( 0.05 \mathrm{m} \) and
wavelength 0.4 m. The waves travel in
the \( +x \) direction and at \( t=0, \) the \( x=0 \)
end of the string has zero displacement and is moving upwards. Write a wave function describing the wave.
Subject: Physics
Three identical point masses, each of
mass \( 1 k g \) lie in the \( x \) -y plane at points \( (0,0),(0,0.2 m) \) and \( (0.2 m, 0) . \) The
gravitational force on the mass at the origin is
A \( \cdot 1.67 \times 10^{-9}(\hat{i}+\hat{j}) N \)
B. \( 3.34 \times 10^{-10}(\hat{i}+\hat{j}) N \)
c. \( 1.67 \times 10^{9}(\hat{i}-\hat{j}) N \)
D. \( 3.34 \times 10^{10}(\hat{i}-\hat{j}) N \)
Subject: Physics
For ohmic conductor the drift velocity \( \boldsymbol{v}_{\boldsymbol{d}} \)
and the electric field applied across it are related as :
\( \mathbf{A} \cdot v_{d} \propto \sqrt{E} \)
B \( \cdot v_{d} \propto E^{2} \)
c. \( v_{d} \propto E \)
D. \( v_{d} \propto \frac{1}{E} \)
Subject: Physics
A body of mass \( \mathbf{m}=\mathbf{3 . 5 1 3} \mathbf{k g} \) is moving along the x-axis with a speed of 5.00
\( \mathrm{ms}^{-1} . \) The magnitude of its momentum
is recorded as :
A \( \cdot 17.56 \mathrm{kg} \mathrm{ms}^{-1} \)
B . 17.57 kg ms \( ^{-1} \)
c. \( 17.6 \mathrm{kg} \mathrm{ms}^{-1} \)
D. 17.565 kg ms \( ^{-1} \)
Subject: Chemistry
Identify disproportionation reaction
A. \( C H_{3}+2 O_{2} \rightarrow C O_{2}+2 H_{2} O \)
в. \( C H_{4}+4 C l_{2} \rightarrow C C l_{4}+4 H C l \)
c. \( 2 F_{2}+2 O H^{-} \rightarrow 2 F^{-}+O F_{2}+H_{2} O \)
D. \( 2 N O_{2}+2 O H^{-} \rightarrow N O_{2}^{-}+N O_{3}^{-}+H_{2} O \)
Subject: Physics
The self inductance of a coil having 400 turns is \( 10 \mathrm{mH} \). The magnetic flux through the cross section of the coil corresponding to Current \( 2 \mathrm{mA} \) is
\( \mathbf{A} \cdot 4 \times 10^{-5} \mathbf{W} \mathbf{b} \)
B. \( 2 \times 10^{-3} \mathrm{wb} \)
\( c \cdot 3 \times 10^{-5} w b \)
D. \( 8 \times 10^{-3} \mathrm{wb} \)
Subject: Chemistry
For the following reactions,write the rate of reaction expression in terms of reactants and products?
¡) \( \mathbf{4} \boldsymbol{N} \boldsymbol{H}_{3}(\boldsymbol{g})+\mathbf{5} \mathbf{0}_{2}(\boldsymbol{g}) \longrightarrow \mathbf{4} \boldsymbol{N} \boldsymbol{O}(\boldsymbol{g})+ \)
\( \mathbf{6} \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g}) \)
ii) \( \left.2 N_{2} O_{5}\right) \longrightarrow 2 N O_{2}+O_{2} \)
Subject: Physics
Four identical plates each of area a are separated by a distance d. The connection is shown below. What is the
capacitance between \( \mathrm{P} \) and \( \mathrm{Q} \) ?
A \( \cdot 2 a \in_{0} / d \)
B \( \cdot a \epsilon_{0} /(2 d) \)
\( \mathrm{c} \cdot a \epsilon_{0} / d \)
D. \( 4 a \in_{0} / d \)
Subject: Physics
A neutron, a proton, an electron and an
\( \boldsymbol{\alpha}- \) particle enter a region of uniform
magnetic field with the same velocities.
The magnetic field is perpendicular and
directed into the plane of the paper. The
tracks of the particles are labelled in
the figure. The electron follows the track
Q Magnetic field
\( A . D \)
B. \( B \)
\( c \cdot C \)
\( \mathbf{D} \cdot A \)
Subject: Maths
f \( \boldsymbol{y}=\left[\begin{array}{cc}1 & 2 \\ -1 & 5\end{array}\right], \) find a matrix \( X \) such
that \( 2 \boldsymbol{X}+\boldsymbol{Y}=\left[\begin{array}{cc}\mathbf{5} & \mathbf{0} \\ -\mathbf{3} & \mathbf{3}\end{array}\right] \)
Subject: Physics
A solid cylinder of mass \( 50 \mathrm{kg} \) and radius \( 0.5 \mathrm{m} \) is free to rotate about horizontal axis. A massless string
is wound round the cylinder with one end attached to it and other hanging freely. Tension in the string required to produce an angular acceleration of 2
revolutions \( s^{-2} \) is :
A. 25
B. 50 N
c. 78.5 N
D. 157 N
Subject: Maths
f \( a, b, c \) and \( d \) are linearly independent
set of vectors and \( k_{1} a+k_{2} b+k_{3} c+ \)
\( k_{4} d=0, \) then
A. \( k_{1}+k_{2}+k_{3}+k_{4}=0 \)
В. \( k_{1}+k_{3}=k_{2}+k_{4}=0 \)
c. \( k_{1}+k_{2}=k_{3}+k_{4} \)
D. None of the above
Subject: Physics
If current \( \boldsymbol{I}_{1}=\mathbf{3} \boldsymbol{A} \sin \omega \boldsymbol{t} \) and \( \boldsymbol{I}_{2}=\boldsymbol{4} \boldsymbol{A} \)
\( \cos \omega t, \) then \( I_{3} \) is :
A .5 Asin \( \left(\omega t+53^{\circ}\right) \)
B. 5 Asin \( \left(\omega t+37^{\circ}\right) \)
c. 5 Asin \( \left(\omega t+45^{\circ}\right) \)
D. 5 Asin \( \left(\omega t+30^{0}\right) \)
Subject: Chemistry
The hybridisation involved in
\( \left[\boldsymbol{C o}\left(\boldsymbol{C}_{2} \boldsymbol{O}_{4}\right)_{3}\right]^{3-} \) is \( ? \)
A \( \cdot s p^{3} d^{2} \)
B. \( s p^{3} d^{3} \)
c. \( d s p^{3} \)
D. \( d^{2} s p^{3} \)
Subject: Chemistry
The solid \( P C l_{5} \) exists as :
A \( \cdot P C l_{3} \)
B \( \cdot P C l_{4}^{+} \)
c. \( P C l_{6}^{-} \)
D. \( P C l_{4}^{+} \) and \( P C l_{6}^{-} \)
Subject: Physics
A boy weighing 25 kg \( f \) climbs up from
the first floor at a height \( 3 m \) above the
ground to the third floor at a height \( 9 m \) above the ground. What will be the increase in his gravitational potential energy? (Take \( \boldsymbol{g}=\mathbf{1 0} \boldsymbol{N} \boldsymbol{k} \boldsymbol{g}^{-1} \mathbf{)} \)
\( \mathbf{A} \cdot 1500 J \)
в. \( 0 . J \)
\( c .150 J \)
D. 2250J
Subject: Physics
In a game of tug of wars, a condition of equilibrium exists. Both the teams pull
the rope with a force of \( 10^{4} \) N. The
tension in the rope is :
\( A \cdot 10^{4} N \)
B . \( 10^{5} \mathrm{N} \)
\( c \cdot 0 \)
D. \( 2 \times 10^{4} \mathrm{N} \)
Subject: Chemistry
Lassaigne's test for the detection of
nitrogen fails in:
A. \( N H_{2} C O N H N H_{2} . H C l \)
в. \( N H_{2} N H_{2} . H C l \)
c. \( N H_{2} \) СО \( N H_{2} \)
D. \( C_{6} H_{5} N H N H_{2} . H C l \)
Subject: Physics
The electric field components due to a
charge inside the cube of side \( 0.1 \mathrm{m} \) are
shown in figure.
where, \( \boldsymbol{E}_{\boldsymbol{x}}=\boldsymbol{\alpha}, \) where \( \boldsymbol{\alpha}=500 \mathrm{N} / \mathrm{C}-\mathrm{m} \)
\( \boldsymbol{E}_{\boldsymbol{y}}=\mathbf{0}, \boldsymbol{E}_{\boldsymbol{z}}=\mathbf{0} \)
Calculate
(a) the flux through the cube and
(b) the charge inside the cube.
Subject: Maths
If the plane a \( 2 x-3 y+5 z-2=0 \)
divides the line segment joining (1,2,3) and \( (2,1, k) \) in the ratio 9: 11
then \( k \) is
A .
в. -2
c. -10
D. \( -\frac{1}{2} \)
Subject: Chemistry
The bond angle in \( N F_{3}\left(102.3^{\circ}\right) \) is
smaller than \( N H_{3}\left(107.2^{\circ}\right) . \) This is
because of
A. large size of \( F \) compared to \( H \)
B. large size of \( N \) compared to \( F \)
c. opposite polarity of \( N \) in the two molecules
D. small size of \( H \) compared to \( N \)
Subject: Maths
If \( \tan 6 \theta=\frac{p}{q}, \) find the value of \( \frac{1}{2}(p \operatorname{cosec} 2 \theta-q \sec 2 \theta) \) in terms of \( p \)
and \( \boldsymbol{q} \)
\( \mathbf{A} \cdot 2 \sqrt{p^{2}+q^{2}} \)
B \( \cdot \sqrt{p^{2}+q^{2}} \)
c. \( \frac{\sqrt{p^{2}+q^{2}}}{q} \)
D. \( \frac{\sqrt{p^{2}+q^{2}}}{p} \)
Subject: Chemistry
Assertion
Chlorine reacts more rapidly with \( \boldsymbol{H}_{2} \) in
comparison to \( D_{2} \)
Reason
\( D-C l \) bond is stronger in comparison
to \( \boldsymbol{H}-\boldsymbol{C l} \) bond.
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
Balance the following redox equations by oxidation number method occur in
acidic medium:
\( \boldsymbol{H}_{2} \boldsymbol{O}_{2}+\boldsymbol{C r}_{2} \boldsymbol{O}_{7(a q)}^{2-} \rightarrow \boldsymbol{O}_{2(g)}+\boldsymbol{C r}_{(a q)}^{3+} \)
Subject: Maths
The value of \( \vec{i} \times(\vec{a} \times \vec{i})+\vec{j} \times(\vec{a} \times \)
\( \vec{j})+\vec{k} \times(\vec{a} \times \vec{k}) \) is (where \( \vec{i}, \vec{j}, \vec{k} \) are
unit vectors
\( A \cdot \vec{a} \)
B . \( 2 \vec{a} \vec{a} \vec{a} \)
\( c \cdot 0 \)
D. - \( \vec{a} \)
Subject: Physics
A sonar device on a submarine send out
a signal and receives an echo 5 sec later.
Calculate the speed of sound in water, if the distance of object from the submarine is \( 3625 m \)
A. \( 1440 \mathrm{ms}^{-1} \)
B. \( 1460 \mathrm{ms}^{-1} \)
c. \( 1450 m s^{-1} \)
D. \( 1470 \mathrm{ms}^{-1} \)
Subject: Physics
A 5 m potentiometer wire having \( 3 \Omega \) resistance per meter is connected to a storage cell of steady emf \( 2 V \) and internal resistance \( 1 \Omega . \) A primary cell is balanced against \( 3.5 m \) of it. When a resistance of \( \frac{32}{n} \Omega \) is put in series with the storage cell, the null point shifts to
the center of the last wire, i.e., 4.5 m.
What is 'n'?
Subject: Chemistry
At what centigrade temperature will a
given volume of a gas at \( 0^{\circ} \mathrm{C} \) becomes
double if pressure remains constant?
\( \mathbf{A} \cdot 546^{\circ} \mathrm{C} \)
B . \( 200^{\circ} \mathrm{C} \)
\( c \cdot 273^{\circ} \mathrm{C} \)
D. \( 320^{\circ} \mathrm{C} \)
Subject: Chemistry
The equilibrium constant \( \boldsymbol{K}_{c} \) for the
reaction \( N_{2(g)}+3 H_{2} \rightleftharpoons 2 N H_{3(g)} \) is
0.286 at \( 500^{\circ} C . \) Calculate \( K_{c} \) and \( K_{p} \)
for the reaction \( \mathbf{2} \boldsymbol{N} \boldsymbol{H}_{\mathbf{3}(\boldsymbol{g})} \rightleftharpoons \boldsymbol{N}_{\mathbf{2}(\boldsymbol{g})}+ \)
\( \mathbf{3} \boldsymbol{H}_{\mathbf{2}(\boldsymbol{g})} \)
Subject: Physics
Statement 1: Temperature of Real gases often changes when undergoing a free expansion under adiabatic condition
whereas that of an ideal gas does not.
Statement 2: First law of
thermodynamics holds for ideal gas only.
A. Statement 1 is true. Statement 2 is true and statement 2 is correct explanation for statement 1.
B. Statement 1 is true. Statement 2 is true and statement 2 is NOT correct explanation for statement 1.
c. Statement 1 is true. Statement 2 is false
D. Statement1 is false. Statement 2 is true
Subject: Maths
If \( x \) and \( y \) are positive and \( x y>1 \), then
what is \( \tan ^{-1} x+\tan ^{-1} y \) equal to?
A \( \cdot \tan ^{-1}\left(\frac{x+y}{1-x y}\right) \)
в. \( \pi+\tan ^{-1}\left(\frac{x+y}{1-x y}\right) \)
c. \( \pi-\tan ^{-1}\left(\frac{x+y}{1-x y}\right) \)
D. \( \tan ^{-1}\left(\frac{x-y}{1+x y}\right) \)
Subject: Physics
Natural length of a massless spring (of spring constant \( k \) ) is \( x \). It is slowly stretched by applying an external force. What is the work done in slowly stretching it from length \( 3 x \) to \( 4 x ? \)
A \( .1 .5 k x^{2} \)
B. \( 2.5 k x^{2} \)
c. \( 3.5 k x^{2} \)
D. \( 4.5 \mathrm{kx}^{2} \)
Subject: Chemistry
\( M n^{+2} \rightarrow M n O_{4}^{-} \) Suggest suitable
reagent?
A . acidic hydrogen peroxide
B. Acidic Pbo \( _{2} \)
\( \mathbf{c} \cdot N a B i O_{3} \)
D. \( K_{2} C r O 7 \)
Subject: Physics
The threshold frequency for a
photosensitive metal is \( 3.3 \times 10^{14} H z . \) If
light of frequency \( 8.2 \times 10^{14} H z \) is
incident on this metal, the
cutoff voltage for the photoelectric emission is nearly:
A . \( 1 v \)
B. 2V
c. \( 3 v \)
D. \( 5 v \)
Subject: Maths
\( f \angle 2=(3 x-10)^{\circ} \) and \( \angle 8=(5 x-30)^{\circ} \)
find the measures of \( \angle 2 \) and \( \angle 8 \)
This question has multiple correct options
\( \mathbf{A} \cdot \angle 2=20^{\circ} \)
\( \mathbf{B} \cdot \angle 8=20^{\circ} \)
\( \mathbf{c} \cdot \angle 2=40^{\circ} \)
D. \( \angle 8=40^{\circ} \)
Subject: Physics
Find the apparent weight of a man weight \( 49 \mathrm{Kg} \) on earth where he is standing in a life which is irising with
an acceleration of \( 1.2 m / s^{2} i i \) ) going with the same acceleration iii)
falling freely the action gravity iv) going up down with uniform velocity. Given
\( \boldsymbol{g}=\mathbf{9 . 8 m} / \boldsymbol{s}^{2} \)
Subject: Physics
The magnetic flux through a coil perpendicular to its plane and directed into paper is varying according to the relation \( \phi=\left(2 t^{2}+4 t+6\right) m W b \). The
emf induced in the loop at \( t=4 s \) is
\( \mathbf{A} \cdot 0.12 V \)
в. 2.4V
c. \( 0.02 V \)
D. \( 1.2 V \)
Subject: Chemistry
Which of the following pairs represents isobars?
A \( \cdot 2^{3} \mathrm{He} \) and \( _{2}^{4} \mathrm{He} \)
B \( \cdot \frac{24}{12} \mathrm{Mg} \) and \( _{12}^{25} \mathrm{Mg} \)
\( \mathbf{c} \cdot_{19}^{40} K \operatorname{and}_{20}^{40} C a \)
Subject: Physics
Find force \( \boldsymbol{F} \) required to keep the system in equilibrium. The dimensions
of the system are \( \boldsymbol{d}=\mathbf{0 . 3 m} \) and \( \boldsymbol{a}= \)
\( 0.2 m . \) Assume the rods to be massless
A . \( 150 \mathrm{N} \)
B. -150 N
c. \( 100 \mathrm{N} \)
D. It cannot be in equilibrium
Subject: Physics
A wire made of the material of Young's modulus \( Y \) has an stress \( S \) applied to
it. If Poisson's ratio of the wire is \( \sigma \), the
lateral strain is:
\( ^{\text {A }} \cdot \frac{S}{Y} \)
в. \( \sigma \frac{Y}{S} \)
c. \( \sigma Y \times S \)
D. \( \frac{s}{\sigma Y} \)
Subject: Maths
If \( f(x)=x^{3}-3 \) and \( g(x)=7 x^{5}, \) what
is the approximate value of \( \boldsymbol{f}(\boldsymbol{g}(\boldsymbol{3} . \boldsymbol{9})) ? \)
A . 389.23
в. 938.32
c. 4261.48
D. 11086.57
E . 14257.91
Subject: Physics
If the time period of revolution of earth is 365 days, then, the frequency of revolution of earth is
A \( \cdot 3.17 \times 10^{-6} \mathrm{Hz} \)
В. \( 3.17 \times 10^{-8} \mathrm{Hz} \)
c. \( 3.17 \times 10^{-4} \mathrm{Hz} \)
D. \( 3.17 \times 10^{-7} \mathrm{Hz} \)
Subject: Maths
Form the differential equation from the following primitive, where constant is
arbitrary.
\( \boldsymbol{y}=\boldsymbol{a} \boldsymbol{x}^{2}+\boldsymbol{b} \boldsymbol{x}+\boldsymbol{c} \)
A \( \cdot \frac{d y}{d x}=0 \)
B. \( \frac{d^{2} y}{d x^{2}}=0 \)
c. \( \frac{d^{3} y}{d x^{3}}=0 \)
D. None of these
Subject: Maths
The perpendicular distance from the origin to the plane containing the two lines, \( \frac{\boldsymbol{x}+\mathbf{2}}{\mathbf{3}}=\frac{\boldsymbol{y}-\mathbf{2}}{\mathbf{5}}=\frac{\boldsymbol{z}+\mathbf{5}}{\mathbf{7}} \) and \( \frac{\boldsymbol{x}-\mathbf{1}}{\mathbf{1}}= \)
\( \frac{\boldsymbol{y}-\boldsymbol{4}}{\boldsymbol{4}}=\frac{\boldsymbol{z}+\boldsymbol{4}}{\boldsymbol{7}} \) is :
A \( \cdot \frac{11}{\sqrt{6}} \)
B. \( 6 \sqrt{11} \)
c. 11
D. \( 11 \sqrt{6} \)
Subject: Physics
Which of the following statements are true in the context of a compound Microscope?
(A) Each lens produces a virtual and inverted image
(B) The objective has a very short focal length
(C) The eyepiece is used as a simple magnifying glass
(D) The objective and eyepiece are convex and concave lenses respectively
\( A \cdot(A),(B) \) and \( (D) \)
B. (B) and (C)
\( c \cdot(A),(C) \) and \( (D) \)
D. (B) and (D)
Subject: Maths
In a parallelogram \( A B C D, \) if \( A B= \) \( \mathbf{2} \boldsymbol{x}+\mathbf{5}, \boldsymbol{C} \boldsymbol{D}=\boldsymbol{y}+\mathbf{1}, \boldsymbol{A} \boldsymbol{D}=\boldsymbol{y}+\mathbf{5} \) and
\( B C=3 x-4, \) what is the ratio of \( A B \)
and \( B C ? \)
A .71: 21
B. 12: 11
c. 31: 35
D. 4: 7
Subject: Maths
If \( A \) and \( B \) are two events in a sample
space \( S \) such that \( P(A) \neq 0 \) and
\( \boldsymbol{P}(\boldsymbol{B}) \neq \boldsymbol{0}, \) then \( \boldsymbol{P}(\boldsymbol{A} \cap \boldsymbol{B}) \)
A \( \cdot P(A) \cdot P(B) \)
в. \( P(A) . P\left(\frac{B}{A}\right) \)
\( \mathbf{c} \cdot P(B) \)
D \cdot \( P(A) \)
Subject: Maths
\( P \) and \( Q \) are the foci of the ellipse \( \frac{x^{2}}{a^{2}}+ \) \( \frac{y^{2}}{b^{2}}=1 \) and \( B \) is an end of the minor
axis. If \( \triangle P B Q \) is an equilateral triangle, the eccentricity of the ellipse is:
A \( \cdot \frac{1}{\sqrt{2}} \)
в. \( \frac{1}{3} \)
\( c \cdot \frac{1}{2} \)
D. \( \frac{\sqrt{3}}{2} \)
Subject: Physics
The resistance of all the wire between
any two adjacent dots is \( R \). The
equivalent resistance between \( A \) and \( B \)
as shown is
A . \( 7 R / 13 \)
B. \( 7 R / 6 \)
c. \( 14 R / 8 \)
D. \( 15 R / 7 \)
Subject: Physics
A circular road of radius \( 50 \mathrm{m} \) has the
angle of banking equal to \( 30^{\circ} . \) At what speed should a vehicle go on this road so that the friction is not used?
\( \mathbf{A} \cdot 7 m s^{-1} \)
B. \( 17 m s^{-1} \)
\( \mathbf{c} \cdot 22 m s^{-1} \)
D. \( 27 m s^{-1} \)
Subject: Physics
If a charge \( -150 n C \) is given to a concentric spherical shell and a charge \( +50 n C \) is placed at its centre, then the
charge on inner and outer surface of the shell is
A. \( 50 n C, 100 n C \)
в. \( -50 n C,-100 n C \)
c. \( 50 n C, 200 n C \)
D. \( -50 n C,-200 n C \)
Subject: Maths
Assertion
\( \operatorname{Let} \boldsymbol{A}(\overline{\boldsymbol{a}}) \)
\( \& B(\bar{b}) \) be two points in
space. Let \( \boldsymbol{P}(\bar{r}) \) be a variable point
which moves in space such that \( \overline{\boldsymbol{P} \boldsymbol{A}} \) \( P B \leq 0 \) such a variable points traces a
three-dimensional figure whose volume is given by \( \frac{\pi}{6}\left\{\bar{a}^{2}+\bar{b}^{2}-2 \bar{a} \cdot \bar{b}\right\} \)
\( |\bar{a}-\bar{b}| \)
Reason
Diameter of sphere subtends acute angle at any point inside the sphere \( \& \) its volume is given by \( \frac{4}{3} \pi r^{3} \)
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
Find the size of object which can be featured with \( 5 M H z \) in water.
A. \( 0.148 \mathrm{mm} \)
B. \( 0.3 \mathrm{mm} \)
\( c .0 .5 \mathrm{mm} \)
D. \( 0.1 \mathrm{mm} \)
Subject: Chemistry
Assertion
Ammonia acts as a ligand.
Reason
A lone pair of electrons on nitrogen can
be donated to acceptor.
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
Dr.
F. Went noted that if coleoptile tips were removed and placed on agar for
one hour, the agar would produce a bending when placed on one side of a freshly cut coleoptile stumps. Of what significance is this experiment.
A. It is basis of quantitative determination of small amounts of growth promoting substances
B. It supports the hypothesis that IAA is auxin
c. It demonstrated polar movement of auxins
D. It made possible the isolation and exact identification of auxin
Subject: Physics
Assertion (A) : Lead is more elastic than
rubber.

Reason (R) : If the same load is attached
to lead and rubber wires of the same
cross-sectional area, the strain of lead
is very much less than that of rubber.
A. Both assertion and reason are true and the reason is correct explanation of the assertion
B. Both assertion and reason are true, but reason is not correct explanation of the assertion
c. Assertion is true, but the reason is false
D. Assertion is false, but the reason is true
Subject: Chemistry
If the threshold energy for ejection of electron from metal is 1.4 eV and light of 3eV falls on the metal, then the kinetic
energy of photoelectron emitted will be:
A \( .2 .6 \times 10^{-19} \mathrm{J} \)
В. \( 1.6 \times 10^{-18} \mathrm{J} \)
c. \( 2.2 \times 10^{-19} \mathrm{J} \)
D. \( 3.2 \times 10^{-20} \mathrm{J} \)
Subject: Chemistry
Co-ordination number of central metal
\( \operatorname{atom} \operatorname{in} N a_{3}\left[A l\left(C_{2} O_{4}\right)_{3}\right] \) and
\( \left[\boldsymbol{C o}(\boldsymbol{e n})_{2} \boldsymbol{C l}\right] \boldsymbol{C l} \) are:
A. 6 and 6
B. 6 and 5
c. 5 and 5
D. 6 and 4
Subject: Physics
Maxwell's four equations are written as
(i) \( \oint \overrightarrow{\boldsymbol{E}} \cdot \overrightarrow{\boldsymbol{d}} \boldsymbol{s}=\frac{\boldsymbol{q}_{0}}{\varepsilon_{0}} \)
(ii) \( \oint \vec{B} \cdot \vec{d} s=0 \)
(iii) \( \oint \overrightarrow{\boldsymbol{E}} \cdot \overrightarrow{\boldsymbol{d}} \boldsymbol{l}=\frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{t}} \quad \boldsymbol{\oint} \overrightarrow{\boldsymbol{B}} \cdot \overrightarrow{\boldsymbol{d}} \boldsymbol{s} \)
\( (\text { iv }) \oint \vec{B} \cdot \vec{d} s=\mu_{0} \varepsilon_{0} \frac{d}{d t} \oint \vec{E} \cdot \vec{d} s \)
Which of the above Maxwell's equations
shows that electric field lines do not
form closed loops?
A. (i) only
B. (ii) only
c. (iii) only
D. (iv) only
Subject: Physics
Which of the following is a wrong
statement?
A \( . D=1 / f \) where \( f \) is the focal length and \( D \) is called the
refractive power of a lens
B. Power is expressed in a diopter when \( f \) is in metres
C. Power is expressed in diopter and does not depend on the system of unit used to measure \( f \)
D. D is positive for convergent lens and negative for divergent lens
Subject: Physics
A nuclear transformation is denoted by
\( X(n, \alpha)_{3}^{7} L i . \) Which of the following is
the nucleus of element \( X ? \)
\( \mathbf{A} \cdot \frac{12}{6} C \)
B . \( \frac{10}{5} B \)
\( c \cdot_{5}^{9} B \)
\( \mathrm{D} \cdot_{4}^{11} \mathrm{Be} \)
Subject: Physics
If the kinetic energy of the molecules in 5 litres of helium at 2 at \( m \) is \( E \). What is
the kinetic energy of molecules in 15
litres of oxygen at 3 at \( m \) in terms of \( E ? \)
A . \( 7.5 E \)
в. \( 7 E \)
\( c .8 .5 E \)
D. \( 8 E \)
Subject: Maths
Let \( C \) and \( A \) be the circumference and
the area of a circle respectively. If \( x C \) is
the circumference of another circle
whose area is \( 2 A \), then \( x \) equals
\begin{tabular}{l} 
A \( \cdot 2 \sqrt{2} \) \\
\hline
\end{tabular}
B. 2
\( c \cdot \sqrt{2} \)
D. \( \frac{1}{2} \)
Subject: Physics
An object of mass \( 10 \mathrm{kg} \) is to be kept at rest on an inclined plane making an
angle of \( 37^{0} \) to the horizontal by
applying a force \( F \) along the plane upwards as shown in Fig. The
coefficient of static friction between the
object and the plane is 0.2 . Find the magnitude of force \( F \) [Take \( \left.g=10 m s^{-2}\right] \)
\( \sin 37^{\circ}=0.6 \)
\( \cos 37^{\circ}=0.8 \)
Subject: Chemistry
At \( 298 \mathrm{K} \), the standard reduce
potentials are \( 1.51 \mathrm{V} \) for \( \mathrm{MnO}_{4}^{-}, 1.36 \mathrm{V} \) for \( \boldsymbol{C l} \boldsymbol{l}_{2} \mid \boldsymbol{C l}^{-}, 1.07 \mathrm{V} \) for \( \boldsymbol{B} \boldsymbol{r}_{2} \mid \boldsymbol{B r}^{-}, 0.54 \mathrm{V} \) for
\( I_{2} \mid I^{-} . \) At \( p H=3, \) permangnate is expected to oxidize:
\( \left(\frac{R T}{F}=0.059\right) \)
A \( . C l^{-} \) and \( B r^{-} \)
B. \( B r^{-} \) and \( I^{-} \)
c. \( I^{-} \) only
D. \( C l^{-}, B r^{-} \) and \( I^{-} \)
Subject: Maths
The intercepts of the plane \( 2 x-3 y+ \)
\( \mathbf{5} z-\mathbf{3 0}=\mathbf{0} \) are
A. 15,-10,6
в. 5,10,6
c. \( 1 / 8,-1 / 6,1 / 4 \)
D. 3,-4,6
Subject: Maths
If \( f(x)=\frac{a^{x}}{x^{a}} \) then \( f^{\prime}(a)= \)
A. \( \log a-1 \)
B. \( \log a-a \)
\( \mathbf{c} \cdot a \log a-a \)
D. a log \( a+a \)
Subject: Biology
The coding strand of DNA is
\( \mathbf{5}^{\prime} \boldsymbol{A} \boldsymbol{A} \boldsymbol{T} \boldsymbol{T} \boldsymbol{C} \boldsymbol{A} \boldsymbol{A} \boldsymbol{T} \boldsymbol{T} \boldsymbol{A} \boldsymbol{G} \boldsymbol{G} \mathbf{3}^{\prime} \)
What is the sequence of mRNA?
A . \( 3^{\prime} \)TTAAGTTTAATCC
c. \( 3^{\prime} \) ААUUСААUU АGG5
D. \( 5^{\prime} \)TTAAGTTTAATCC