AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Holmes signals can be given by using:
A. \( C a C_{2}+C a C N_{2} \)
В. \( C a C_{2}+C a_{3} P_{2} \)
\( \mathbf{c} \cdot C a C_{2}+C a C O_{3} \)
D. \( C a_{3} P_{2}+C a C N_{2} \)
Subject: Maths
You have studied in Class IX, that a
median of a triangle divides it into two triangles of equal areas. Verify this result for \( \triangle A B C \) whose vertices are
\( \boldsymbol{A}(\mathbf{4},-\mathbf{6}), \boldsymbol{B}(\mathbf{3},-\mathbf{2}) \) and \( \boldsymbol{C}(\mathbf{5}, \mathbf{2}) \)
Subject: Chemistry
Which one of the following constitutes a group of the isoelectronic species?
A \( \cdot C_{2}^{2-}, O_{2}^{-}, C O, N O \)
B. \( N O^{-}, C_{2}^{2-}, C N^{-}, N_{2} \)
c. \( C N^{-}, N_{2}, C O, C_{2}^{2} \)
D. \( N_{2}, O_{2}^{-}, N O^{-}, C O \)
Subject: Physics
A body rests on a rough horizontal plane. A force is applied to the body directed towards the plane at an angle
\( \alpha \) with the vertical. The body can be
moved along the plane
A. only if \( \alpha \) is greater than the angle of friction
B. only if \( \alpha \) is lesser than the angle of friction
c. only if \( \alpha \) is equal to the angle of friction
D. for all values of \( \alpha \)
Subject: Chemistry
Arrange the following fibers in the order of increasing strength:
Nylon, Cotton, Wool, Polyester, Silk
A. Silk, Wool, Cotton, Nylon, Polyester
B. Wool, Silk, Cotton, Nylon, Polyester
c. cotton, silk, Wool, Nylon, Polyester
D. Nylon, Cotton, Silk, Wool, Polyester
Subject: Maths
If \( D_{p}=\left|\begin{array}{ccc}\boldsymbol{p} & \mathbf{1 5} & \mathbf{8} \\ \boldsymbol{p}^{2} & \mathbf{3 5} & \mathbf{9} \\ \boldsymbol{p}^{\mathbf{3}} & \mathbf{2 5} & \mathbf{1 0}\end{array}\right|, \) then \( \boldsymbol{D}_{1}+\boldsymbol{D}_{2}+ \)
\( D_{3}+D_{4}+D_{5} \) is equal to
A .
B. 25
c. 625
D. none of these
Subject: Physics
A steamer moves with velocity \( 3 \mathrm{km} / \mathrm{h} \) in and against the direction of river water whose velocity is \( 2 \mathrm{km} / \mathrm{h} \). Calculate the total time for the total journey if the boat travels \( 2 \mathrm{km} \) in the direction of a stream
and then back to its place:
A. 2 hrs
B. 2.5 hrs
c. 2.4 hrs
D. 3 hrs
Subject: Chemistry
The mass of \( 3.01 \times 10^{23} \) molecules of a
gas iss \( 32.0 g . \) What volume does 8.00 g of the gas occupy at STP?
A \( .2 .80 L \)
B. \( 8.00 L \)
c. \( 11.2 L \)
D. 22.4 L
E . \( 64.0 L \)
Subject: Chemistry
\( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\boldsymbol{B r} \frac{M \boldsymbol{g}}{\text {dryether}} \boldsymbol{A} \stackrel{\boldsymbol{H}_{2} \boldsymbol{O}}{\boldsymbol{\beta}} \boldsymbol{B} \)
Identify \( A \& B \) compounds.
Subject: Chemistry
For the reaction
\[
\begin{array}{r}
\boldsymbol{S n O}_{2}(\boldsymbol{s})+\mathbf{2} \boldsymbol{H}_{2}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{S} \boldsymbol{n}(\boldsymbol{l})+ \\
\boldsymbol{2} \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g})
\end{array}
\]
the equilibrium mixture of steam and
hydrogen contained \( 45 \% \) and \( 24 \% H_{2} \) at
\( 900 K \) and \( 1100 K \) respectively. The sum
of \( K_{p} \) at both temperatures for better
reduction of \( S n O_{2} \) is (nearest integer
value).
Subject: Maths
A tower stands at the top of a hill whose height is three times the height of the tower. The tower is found to subtend an
angle of \( \mid \tan ^{-1}(1 / 7) \) at a point \( 2 k m \) away on the horizontal throught the foot of the hill. Then the height of the tower is
\( ^{\mathbf{A}} \cdot \frac{1}{2} k m \) or \( \frac{1}{3} k m \)
B. \( \frac{1}{3} k m \) or \( \frac{2}{3} k m \)
c. \( \frac{2}{3} k m \) or \( \frac{1}{2} k m \)
D. \( \frac{3}{4} k m \) or \( \frac{1}{2} k m \)
Subject: Physics
A rod of mass \( m \) and length \( L \), lying
horizontally, is free to rotate about a vertical axis through its centre. \( \mathbf{A} \) horizontal force of constant magnitude \( F \) acts on the rod at a distance of \( L / 4 \) from the centre. The force is always
perpendicular to the rod. Find the angle rotated by the rod during the time \( t \) after the motion starts.
A \( \cdot \frac{3 F t^{2}}{5 m L} \)
B. \( \frac{5 F t^{2}}{2 m L} \)
c. \( \frac{3 F t^{2}}{2 m L} \)
D. \( \frac{2 F t^{2}}{3 m L} \)
Subject: Maths
The value of \( \boldsymbol{I}=\int_{-2}^{0}\left[\boldsymbol{x}^{3}+\boldsymbol{3} \boldsymbol{x}^{2}+\boldsymbol{3} \boldsymbol{x}+\right. \)
\( (x+1) \cos (x+1)] d x, \) is
A . -4
B. -3
\( c .-2 \)
D. -
Subject: Physics
Calculate the energy spent in spraying a
drop of mercury of \( r=1 \mathrm{cm} \) radius into
\( N=10^{6} \) droplets all of same size. If the
surface tension of mercury is \( \boldsymbol{T}=\mathbf{3 5} \times \)
\( \mathbf{1 0}^{-\mathbf{3}} \mathbf{N} / \boldsymbol{m} \)
Subject: Biology
Assertion
Heteronomous segmentation, i.e., the division of labor resulting in
dissimilarity of the metamers of the
different regions of the body, is found in the phyla Annelida, Arthropoda and
Chordata.
Reason
None of these have true coelom.
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
Assertion
The precision of a measurement depends on least count of measuring instrument.
Reason
Smaller the least count greater is number of significant figures in
measurement value
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
The distance between any two crests or troughs is \( 0.5 \mathrm{m} \) in a travelling wave. Find the wavelength of the wave
A . \( 0.5 \mathrm{m} \)
B. \( 1 \mathrm{m} \)
c. \( 0.25 \mathrm{m} \)
D. 1.5 \( m \)
Subject: Maths
For the probability distribution given by \begin{tabular}{cc|c|c|c}
\( \boldsymbol{X}=\boldsymbol{x}_{\boldsymbol{i}} \) & \( \mathbf{0} \) & \( \mathbf{1} \) & \( \mathbf{2} \) \\
\( \boldsymbol{P} \) & \( \frac{\mathbf{2 5}}{\mathbf{3 6}} \) & \( \mathbf{5} \) & \( \mathbf{1} \) \\
\( \mathbf{1 8} \) & \( \mathbf{3 6} \) & the standard
\end{tabular}
deviation \( (\sigma) \) is?
A \( \cdot \sqrt{\frac{1}{3}} \)
B. \( \frac{1}{3} \sqrt{\frac{5}{2}} \)
c. \( \sqrt{\frac{5}{36}} \)
D. None of the above
Subject: Physics
In the Sun, about 4billion kg of matter is converted into energy each second. The power output of Sun in watt is
A. \( 3.6 \times 10^{26} \)
B. \( 0.36 \times 10^{26} \)
c. \( 36 \times 10^{26} \)
D. 0.036 \( \times 10^{26} \)
Subject: Maths
If \( \boldsymbol{x} \sqrt{\mathbf{1}+\boldsymbol{y}}+\boldsymbol{y} \sqrt{\mathbf{1}+\boldsymbol{x}}=\mathbf{0} \quad, \) for \( -\mathbf{1}< \)
\( \boldsymbol{x}<1, \) prove that \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}=-\frac{\mathbf{1}}{(\mathbf{1}+\boldsymbol{x})^{2}} \)
Subject: Physics
The gravitational P.E. of a rocket of mass \( 100 \mathrm{kg} \) at a distance of \( 10^{7} \mathrm{m} \) from the earths centre is \( -4 \times 10^{9} \) J.
The weight of the rocket at a distance of \( 10^{9} \mathrm{m} \) from the centre of the earth is :
A \( \cdot 4 \times 10^{-2} \mathrm{N} \)
В. \( 4 \times 10^{-9} \mathrm{N} \)
c. \( 4 \times 10^{-6} \mathrm{N} \)
D. \( 4 \times 10^{-3} \mathrm{N} \)
Subject: Maths
In \( 50 g m \) alloy of gold and silver. The gold is \( 80 \% \) by weight. How much gold should be mixed to this alloy so that the weight of gold would become \( 95 \% ? \)
A . \( 200 g \) m
в. \( 150 g m \)
c. \( 50 g m \)
D. \( 10 g m \)
Subject: Maths
Find the inverse of the following \( \operatorname{matrices} \boldsymbol{A}=\left(\begin{array}{ccc}\mathbf{2} & \mathbf{1} & \mathbf{3} \\ \mathbf{5} & \mathbf{3} & \mathbf{1} \\ \mathbf{3} & \mathbf{2} & \mathbf{3}\end{array}\right) \)
Subject: Physics
The wheel of radius \( r=300 \mathrm{mm} \) rolls to
the right without slipping and has a
velocity \( V_{0}=3 m / s \) of its centre 0. The
speed of the point \( A \) on the wheel for the
instant represented in the figure is :-
\( A \cdot 4.36 m / \)
B. \( 5 m / s \)
\( c \cdot 3 m / s \)
\( \mathbf{D} \cdot 1.5 \mathrm{m} / \mathrm{s} \)
Subject: Physics
In a crossed field, the magnetic field
induction is \( 2.0 T \) and electric field
intensity is \( 20 \times 10^{3} V / m . \) At which
velocity the electron will travel in a straight line without the effect of electric and magnetic fields?
A \( \cdot \frac{20}{16} \times 10^{3} \mathrm{ms}^{-1} \)
B. \( 10 \times 10^{3} \mathrm{ms}^{-1} \)
c. \( 20 \times 10^{3} \mathrm{ms}^{-1} \)
D. \( 40 \times 10^{3} \mathrm{ms}^{-} \)
Subject: Maths
General solution of equation \( \cot \theta+ \) \( \operatorname{cosec} \theta=\sqrt{3} \) is
A \( \cdot 2 n \pi+\frac{\pi}{4} \)
B . \( (2 n-1) \pi \)
c. \( 2 n \pi+\frac{\pi}{3} \)
D. \( 2 n \pi+\frac{\pi}{6} \)
Subject: Physics
What will be the distance between two
slits which, when illuminated by light of
wavelength \( 5000 A^{\circ}, \) produce fringes of
width \( 0.5 m m \) on a screen distant 1
meter from the slits?
\( \mathbf{A} \cdot 10^{-2} \) meter
B . \( 10^{-3} \) meter
\( \mathbf{c} \cdot 10^{-4} \) meter
D. \( 10^{-6} \) meter
Subject: Physics
In the figure, there are four arcs
carrying positive and negative charges.
All of them have same charge density \( \lambda \)
Pick incorrect statement(s).
This question has multiple correct options
A. The net dipole moment for the given charge distribution is \( (4 \sqrt{5}) \lambda R^{2} \)
B. The resultant electric field at the center is zero
C. If a uniform \( \vec{E} \) is switched on perpendicular to the plane, charge distribution starts rotating about \( X \) -axis
D. Potential at the centre of the given charge distribution
is non-zero
Subject: Chemistry
The lattice energy of \( \mathrm{NaCl}(\mathrm{s}) \) using the following data will be:
heat of sublimation of \( N a(s)=S \)
\( (I E)_{1} \) of \( N a(g)=I \)
bond dissociation energy of \( C l_{2}(g)=D \)
electron affinity of \( C l(g)=-E \)
heat of formation of \( \boldsymbol{N} \boldsymbol{a} \boldsymbol{C l}(\boldsymbol{s})=-\boldsymbol{Q} \)
A \( \cdot \) Lattice energy \( -U=S+I+\frac{D}{2}-E-Q \)
B. Lattice energy \( -U=S-I+\frac{D}{2}-E-Q \)
c. Lattice energy \( -U=S+I+\frac{D}{2}+E-Q \)
D. Lattice energy \( -U=S-I-\frac{D}{2}+E+Q \)
Subject: Physics
If i is the current flowing through a conductor of resistance \( R \) for time \( t \)
then the heat produced (Q) is given by
A \( \cdot \frac{i^{2} R}{t} \)
в. \( \frac{i R^{2}}{t} \)
\( \mathbf{c} \cdot i^{2} R t \)
D \( \cdot i R t^{2} \)
Subject: Physics
Two metallic spheres \( A \) and \( B \) kept on
insulating stands are in contact with
each other. A positively charged rod \( P \) is
brought near the sphere \( A \) as shown in
the figure. The two spheres are
separated from each other, and the rod
\( P \) is removed. What will be the nature of
charges on spheres \( \boldsymbol{A} \) and \( \boldsymbol{B} \) ?
Subject: Physics
A train approaching a hill at a speed of \( 40 \mathrm{km} / \mathrm{hr} \) sounds a whistle of frequency \( 600 \mathrm{Hz} \) when it is at a distance of \( 1 \mathrm{km} \)
from a hill. A wind with a speed of 40 \( \mathrm{km} / \mathrm{hr} \) is blowing in the direction of motion of the train. Find the frequency
of the whistle as heard by an observer on the hill.
Subject: Chemistry
Pure \( N_{2} \) gas is obtained from:
A. \( N H_{3}+N a N O_{2} \)
в. \( N H_{4} C l+ \) NaNO \( _{2} \)
\( \mathbf{c} \cdot N_{2} O+C a \)
D. \( \left(N H_{4}\right)_{2} C r_{2} O_{7} \)
Subject: Chemistry
The label of a bottle containing a dilute aqueous solution of an acid become damage Only its concentration was
readable \( A \) pH meter was nearby, and a quick measurement showed that the
hydrogen ion concentration is equal to the value on the label. Which of the
following four acids that could have been the solution if the pH changed one unit after a tenfold dilution?
This question has multiple correct options
\( \mathbf{A} \cdot H C l O_{4} \)
B. \( H_{3} B O_{3} \)
с. \( C H_{3} \) СООН
D. \( H N O_{3} \)
Subject: Physics
Electron and proton are accelerated through one volt of potential difference, the ratio of their wavelengths is equal
to:
A. \( \frac{m_{p}}{m_{e}} \)
В \( \cdot \frac{m_{p} V_{e}}{m_{e} V_{p}} \)
c. \( \frac{m_{p}^{2}}{m_{e}^{2}} \)
D. \( \sqrt{\frac{m_{p}}{m_{e}}} \)
Subject: Chemistry
Assertion
In comparison to ethyl chloride it is difficult to carry out nucleophilic substitution on vinyl chloride.
Reason

Vinyl group is electron donating.
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
Powerful oxidizing agent is :
A. \( P_{2} O_{3} \)
в. \( \mathrm{HPO}_{3} \)
\( \mathrm{c} \cdot \mathrm{H}_{3} \mathrm{PO}_{4} \)
D. \( \mathrm{H}_{3} \mathrm{PO}_{2} \)
Subject: Physics
A car starting from a speed of \( 12 \mathrm{m} / \mathrm{s} \) slows to \( 6 \mathrm{m} / \mathrm{s} \) in a time of \( 3 \mathrm{s} \). Calculate the average acceleration of the car? [Unless otherwise mention, use \( \boldsymbol{g}= \) \( \left.10 m / s^{2} \text { and neglect air resistance }\right] \)
A \( \cdot 2 m / s^{2} \)
B . \( 4 m / s^{2} \)
\( \mathrm{c} \cdot 3 \mathrm{m} / \mathrm{s}^{2} \)
D. \( -2 m / s^{2} \)
E \( .-4 m / s^{2} \)
Subject: Maths
f \( f: R \rightarrow R \) is defined by \( f(x)= \) \( \left\{\begin{array}{ccc}\frac{\boldsymbol{x}+\mathbf{2}}{\boldsymbol{x}^{2}+\mathbf{3} \boldsymbol{x}+\mathbf{2}} & \boldsymbol{i f} & \boldsymbol{x} \in \boldsymbol{R}-\{-\mathbf{1},-\mathbf{2}\} \\ -\mathbf{1} & \boldsymbol{i f} & \boldsymbol{x}=-\mathbf{2} \\ \mathbf{0} & \boldsymbol{i f} & \boldsymbol{x}=-\mathbf{1}\end{array}\right. \)
then \( f \) is continuous on the set.
\( A \)
в. \( R-\{-2\} \)
c. \( R-\{-1\} \)
D. \( R-\{-1,-2\} \)
Subject: Biology
Assertion
Development is the sum of growth and
differentiation.
Reason
Development in plants is under the control of extrinstic factors only.
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 parallel beam of light is incident normally on a plane surface absorbing \( 40 \% \) of the light and reflecting the rest. If the incident beam carries 60 watt of
power, the force exerted by it on the surface is:
A . \( 3.2 \times 10^{-8} N \)
В. \( 3.2 \times 10^{-7} N \)
c. \( 5.2 \times 10^{-7} N \)
D. \( 5.12 \times 10^{-8} N \)
Subject: Physics
Q Type your question-
at a height \( \boldsymbol{H} \) on the roof a building, tries to catch it. He misses the catch,
the ball overshoots and simultaneously
the person starts a stop-watch. The ball
reaches its highest point and he
manages to catch it upon its return. By this time, a time interval \( T \) has elapsed
as recorded by the stop watch. If \( g \) is the
acceleration due to gravity at this place, the speed with which the ball was
thrown from point \( \boldsymbol{A} \) will be
\( \mathbf{A} \cdot \sqrt{g H+g T} \)
\( \frac{(\sqrt{g^{2} T^{2}+4 g H})}{2} \)
\( \frac{(\sqrt{g^{2} T^{2}+8 g H})}{2} \)
D. \( (\sqrt{g^{2} T^{2}+2 g H}) \)
Subject: Physics
A real battery has an emf \( \epsilon \) and an internal resistancer. A variable resistor
\( \mathrm{R} \) is connected across the terminal of
the battery. A current I is drawn from the battery and the potential difference across the terminal on the battery is \( \mathrm{V} \) If \( R \) is slowly decreased to zero, which of the following best describes I and V?
A. I decreases to zero, V approaches
B. I approaches an infinite value, V decreases to zero
c. I approaches \( \epsilon / r, \) v approaches
D. I approaches \( \epsilon / r, \) V decreases to zer
Subject: Maths
Find the area of a parallelogram \( \boldsymbol{A B C D} \)
if three of its vertices are
\( \boldsymbol{A}(\mathbf{2}, \mathbf{4}), \boldsymbol{B}(\mathbf{2}+\sqrt{\mathbf{3}}, \mathbf{5}) \) and \( \boldsymbol{C}(\mathbf{2}, \mathbf{6}) \)
Subject: Physics
A circular loop of wire has current going
through it in the clockwise direction.
What is the direction of the magnetic
field that is caused by this current
through the wire?
A. Inside the loop: out of the screen
Outside the loop: into the screen
B. Inside the loop: out of the screen
Outside the loop: out of the screen
C. Inside the loop: into the screen
Outside the loop: out of the screen
D. Inside the loop: into the screen
Outside the loop: into the screen
Subject: Maths
If \( \boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{R} \) and \( \boldsymbol{g}: \boldsymbol{R} \rightarrow \boldsymbol{R} \) defined by
\( \boldsymbol{f}(\boldsymbol{x})=|\boldsymbol{x}| \) and \( \boldsymbol{g}(\boldsymbol{x})=[\boldsymbol{x}-\boldsymbol{3}] \) for \( \boldsymbol{x} \in \boldsymbol{R} \)
[.] denotes greatest integer function, \( \operatorname{then}\left\{\boldsymbol{g}(\boldsymbol{f}(\boldsymbol{x})): \frac{-\boldsymbol{8}}{\boldsymbol{5}}<\boldsymbol{x}<\frac{\boldsymbol{8}}{\boldsymbol{5}}\right\}= \)
A \( \cdot\{0,1\} \)
в. \{-1,-2\}
\( \mathbf{c} \cdot\{-3,-2\} \)
D. \{2,3\}
Subject: Physics
What is the gravitational potential energy of the mass \( m ? \)
\( ^{\mathbf{A}} \cdot \frac{2}{\sqrt{3}} \frac{G M m}{l}(1-2 \sqrt{3}) \)
B. \( -\frac{2}{\sqrt{3}} \frac{G M m}{l}(1+2 \sqrt{3}) \)
\( ^{\mathbf{c}}-\frac{\sqrt{3}}{2} \frac{G M m}{l}(1-2 \sqrt{3}) \)
D. \( -\frac{\sqrt{3}}{2} \frac{G M m}{l}(1+2 \sqrt{3}) \)
Subject: Physics
Two blocks of masses \( 10 \mathrm{kg} \) and \( 4 \mathrm{kg} \)
are connected by a spring of negligible mass and placed on a frictionless horizontal surface. An impulse gives a velocity of 14 m/ \( s \) to the heavier block
in the direction of the lighter block, The velocity of the centre of mass is:
A. \( 30 \mathrm{m} / \mathrm{s} \)
в. 20 \( m / s \)
c. \( 10 \mathrm{m} / \mathrm{s} \)
D. \( 5 \mathrm{m} / \mathrm{s} \)
Subject: Physics
When an air bubble of radius r rises from
the bottom to the surface of a lake, its radius becomes \( 5 r / 4( \) the pressure of
the atmosphere is equal to the \( 10 \mathrm{m} \) height of water column).ff the temperature is constant and the surface tension is neglected, the depth of the lake is
A . 3.53m
B. 6.53m
c. \( 9.53 \mathrm{m} \)
D. 12.53m
Subject: Physics
A sphere \( A \) is released from rest i the
position shown and strikes the block \( B \)
which is at rest. If \( e=0.75 \) between \( A \)
and \( B \) and \( \mu_{k}=0.5 \) between \( B \) and the
support.The maximum displacement of \( B \) after impact is \( S_{A \max }=\frac{49}{x} m . \) Find \( x \)
Subject: Maths
If the line \( x=\alpha \) divides the area of
region \( \boldsymbol{R}= \)
\( \left\{(x, y) \in R^{2}: x^{3} \leq y \leq x, 0 \leq x \leq 1\right\} \)
into two equal parts, then This question has multiple correct options
A \( \cdot 2 \alpha^{4}-4 \alpha^{2}+1=0 \)
B. \( \alpha^{4}+4 \alpha^{2}-1=0 \)
c. \( _{0<\alpha \leq \frac{1}{2}} \)
D. \( \frac{1}{2}<\alpha<1 \)
Subject: Physics
A galvanometer of resistance \( 50 \Omega \) is
connected to a battery of \( 3 V \) along with a resistance of \( 2950 \Omega \) in series shown,
full-scale deflection of 30 divisions. The
additional series resistance required to reduce the deflection to 20 divisions is
A . \( 4440 \Omega \)
B. 1500\Omega
c. \( 7400 \Omega \)
D. \( 2950 \Omega \)
Subject: Maths
If \( \tan \theta=\frac{\sin \alpha-\cos \alpha}{\sin \alpha+\cos \alpha}, \) then
\( A \cdot \sin \alpha-\cos \alpha=\pm \sqrt{2} \sin \theta \)
B. \( \sin \alpha+\cos \alpha=\pm \sqrt{2} \cos \theta \)
\( \mathbf{c} \cdot \cos 2 \theta=\sin 2 \alpha \)
\( D \cdot \sin 2 \alpha+\cos 2 \alpha=0 \)
Subject: Physics
A body of mass \( 300 \mathrm{kg} \) is moved
through \( 10 m \) along a smooth inclined
plane of an angle \( 30^{\circ} . \) The work done in moving the mass in joules is:
\( \left(g=9.8 m s^{-2}\right) \)
A. 9800
B. 14700
\( c .3450 \)
D. 4900
Subject: Maths
If \( y=\sqrt{\frac{1+\sin x}{1-\sin x}} \) then \( \frac{d y}{d x}=? \)
A \( \cdot \frac{1}{2} \sec ^{2}\left(\frac{\pi}{4}-\frac{x}{2}\right) \)
B \( \cdot \frac{1}{2} \csc ^{2}\left(\frac{\pi}{4}-\frac{x}{2}\right) \)
\( ^{\mathrm{c}} \cdot \frac{1}{2} \csc \left(\frac{\pi}{4}-\frac{x}{2}\right) \cot \left(\frac{\pi}{4}-\frac{x}{2}\right) \)
D. none of these
Subject: Maths
Find \( \boldsymbol{x}+\boldsymbol{y}+\boldsymbol{z} \)
A \( \cdot x+y+z=180 \)
в. \( x+y+z=360^{\circ} \)
c. \( x+y+z=480^{\circ} \)
D. \( x+y+z=540 \)
Subject: Physics
A time varying current \( i \) in passed
through a resistance \( R \) as shown in
figure. The total heat generated in the
resistance is:
A \( \cdot 11 i_{0}^{2} R t_{0} \)
B. \( 13 i_{0}^{2} R t_{0} \)
\( \mathbf{c} \cdot 17 i_{0}^{2} R t_{0} \)
D. \( 15 i_{0}^{2} R t_{0} \)
Subject: Physics
Four particles \( \boldsymbol{A}, \boldsymbol{B}, \boldsymbol{C} \) and \( \boldsymbol{D} \) with
\( \operatorname{masses} \boldsymbol{m}_{\boldsymbol{A}}=\boldsymbol{m}, \boldsymbol{m}_{B}=2 \boldsymbol{m}, \boldsymbol{m}_{C}=3 \boldsymbol{m} \)
and \( m_{D}=4 m \) are at the corners of a
square. They have accelerations of
equal magnitude with directions as
shown. The acceleration of the centre of
mass of the particles is
A \( \cdot \frac{a}{5}(\hat{i}-\hat{j}) \)
B・ \( \frac{a}{5}(\hat{i}+\hat{j}) \)
\( c, \) zer
D. \( a(\hat{i}+\hat{j}) \)
Subject: Maths
Evaluate \( \lim _{x \rightarrow 2} \frac{7 x^{2}-11 x-6}{3 x^{2}-x-10} \)
A \( \cdot \frac{17}{11} \)
в. \( \frac{11}{17} \)
c. \( \frac{17}{14} \)
D. \( -\frac{17}{11} \)
Subject: Chemistry
Sulphur dioxide is a strong reducing agent. However, it can also act as an
oxidizing agent. Which of the following reactions shows its oxidizing nature?
A. Bleaching flower petalss
B. Decolourising of acidfied KMnO \( _{4} \) solution
c. Reaction with \( H_{2} S \) to give sulphur
D. Turning acidified dichromate paper green
Subject: Physics
It is desired to make a long cylindrical
conductor whose temperature
coefficient of resistivity at \( 20^{\circ} C \) will be close to zero. If such a conductor is
made by assembling alternate disks of iron and carbon, Find the ratio of the
thickness of a carbon disk to that an
iron disk. (For carbon, \( \boldsymbol{\rho}=\mathbf{3 5 0 0} \times \)
\( 10^{-8} \Omega m \) and \( \alpha=-0.50 \times 10^{-3}^{\circ} C^{-1} \)
for iron, \( \rho=9.68 \times 10^{-8} \Omega \) and \( \alpha= \)
\( \left.\mathbf{6 . 5} \times \mathbf{1 0}^{-\mathbf{3} \circ} \mathbf{C}^{-\mathbf{1}}\right) \)
A . 0.36
B. 0.036
\( c .1 . \)
D . 2.0
Subject: Maths
If \( \boldsymbol{A} \times \boldsymbol{B}=\boldsymbol{B} \times \boldsymbol{A}, \) then the angle
between \( A \) and \( B \) is
A. \( \pi \)
в. \( \pi / 3 \)
c. \( \pi / 2 \)
D. \( \pi / 4 \)
Subject: Maths
Find the sum of the first 25 terms of an
A.P whose \( n \) th term is given by \( a_{n}= \)
\( 2-3 n \)
\( \mathbf{A} \cdot-925 \)
B . -928
\( \mathbf{c} .-923 \)
D \( .-929 \)
Subject: Chemistry
The empirical formula of a compound is
\( C H_{2} . \) The mass of 1 liter of this gas is exactly equal to that of 1 liter of nitrogen under similar conditions. The molecular
formula of the gas is:
A. \( C_{2} H_{4} \)
в. \( O_{3} H_{6} \)
c. \( C_{6} H_{12} \)
D. \( C_{4} H_{8} \)
Subject: Physics
Position of a particle moving along \( \boldsymbol{x}- \) axis is given by \( \boldsymbol{x}=\mathbf{3}(\mathbf{2} \boldsymbol{t}-\mathbf{3})+\mathbf{4}(\mathbf{2} \boldsymbol{t}- \)
3)\( ^{2} \)
Which of the following is correct about
the particle?
A. Initial speed is \( 21 \mathrm{m} / \mathrm{s} \)
B. Initial speed is \( 18 \mathrm{m} / \mathrm{s} \)
c. Initial speed is \( 42 \mathrm{m} / \mathrm{s} \)
D. Acceleration is \( 8 \mathrm{m} / \mathrm{s} \)
Subject: Maths
If the curves \( y=x^{3}+a x \) and \( y= \)
\( b x^{2}+c \) pass through the point (-1,0)
and have common tangent line at this
point, then the value of \( a+b \) is?
\( \mathbf{A} \cdot \mathbf{0} \)
в. -2
c. -3
D. -