AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
An automobile engine absorbs \( 1600 J \) of heat from a hot reservoir and expel
\( 1000 J \) to a cold reservoir in each
cycle.Find the efficiency of the cycle?
A . \( 37.5 \% \)
B . \( 47.5 \% \) \%
c. \( 40 \% \)
D. 30 \%
Subject: Biology
Which of the following happens with the increase in body temperature due to enhanced metabolic activities in the
human body?
A. Oxyhaemoglobin dissociation curve will shift to right side at tissue level
B. Affinity of haemoglobin for oxygen will increase at tissue leve
C. Sensitivity of chemoreceptors to \( p O_{2} \) increases dramatically white it falls for \( p C O_{2} \& H^{+} \)
D. Bohr's effect will not occur
Subject: Physics
The momentum of a \( 10 \mathrm{kg} \) body moving at \( 36 \mathrm{km} / \mathrm{h} \) is:
A. \( 100 \mathrm{kg} . \mathrm{m} / \mathrm{s} \)
B. 360 kg. m/s
c. \( 3.6 \mathrm{kg}, \mathrm{m} / \mathrm{s} \)
D. 36000 kg.m /s
Subject: Chemistry
If \( \alpha \) is the degree of dissociation of
\( N a_{2} S O_{4}, \) the vant Hoff's factor \( (i) \) used
for calculating the molecular mass is:
\( \mathbf{A} \cdot 1+\alpha \)
B. \( 1-\alpha \)
\( c \cdot 1+2 \alpha \)
D. \( 1-2 \alpha \)
Subject: Physics
The primary and secondary coils of a
transformer
have 50 and 1500 turns respectively. If
the
magnetic flux linked with the primary coil is
given by \( \phi=\phi_{0}+4 t, \) where \( \phi \) is in
webers, tis
time in seconds and \( \phi_{0} \) is a constant,
the output voltage across the secondary coil is:
A. 30 volts
B. 90 volts
c. 120 volts
D. 220 volts
Subject: Chemistry
Which of the following can act as both Bronsted acid as well as Bronsted base?
(i) \( H C O O^{-} \quad(\text { ii }) N H_{3} \quad(\text { iii }) O^{2-} \)
\( \boldsymbol{H} \boldsymbol{S O}_{4}^{-} \)
B. ii and iii
c. ii and iv
D. i and iv
Subject: Physics
Water is flowing in a streamline motion
through a tube with its axis horizontal.
Consider two points \( A \) and \( B \) in the tube
at the same horizontal level.
This question has multiple correct options
A. The pressures at \( A \) and \( B \) are equal for any shape of the tube
B. The pressures are never equal
C. The pressures are equal if tube has a uniform crosssection.
D. The pressures may be equal even if the tube has a nonuniform cross-section.
Subject: Physics
Assertion
When an automobile while going too
fast around a curve overturns, its inner
wheels leave the ground first.
Reason

For a safe turn the velocity of automobile should be less than the
value of safe limit velocity.
A. If both Assertion and Reason are correct and Reason the correct explanation of the Assertion
B. If both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion
c. If Assertion is true but Reason is false
D. If Assertion is false but Reason is true
Subject: Physics
A current of i amp flows in a loop having circular arc of radius \( r \) subtending an
angle \( \theta \) as shown in the figure. The
magnetic field at the centre of the circle
is:
A \( \cdot \frac{\mu_{0} i}{4 \pi r} \)
B. \( \left(\frac{\mu_{0} i}{4 r}\right) \sin \theta \)
c. \( \left(\frac{2 \mu_{0} i}{2 r}\right) \sin \theta \)
D. \( \left(\frac{\mu_{0} i}{4 \pi r}\right) \sin \theta \)
Subject: Physics
A body of weight \( 50 N \) placed on a
horizontal surface is just moved by a
force of \( 28.2 N . \) The frictional force and
the normal reaction are
A \( .10 N, 15 N \)
B. \( 20 N, 30 N \)
\( c \cdot 2 N, 3 N \)
D. \( 5 N, 6 N \)
Subject: Biology
\( A \)
\( A-3 \) \( E-4, F-7 \) \( \mathrm{B}-5, \mathrm{C}-1, \mathrm{D}-2 \) a \( G-6 \)
B. \( A-3, B-5, C-2, D-1, E- \)
7 \( F-4 \) \( G-6 \)
C. \( A-3, B-5, C-2, D-1, E-4, F-7, G-6 \)
D. \( A-6, B-5, C-2, D-1, E-4, F-7, G-3 \)
Subject: Chemistry
The reaction,
\[
\begin{array}{c}
(\mathbf{1} / \mathbf{2}) \boldsymbol{H}_{\mathbf{2}}(\boldsymbol{g})+\boldsymbol{A} \boldsymbol{g} \boldsymbol{C} \boldsymbol{l}(\boldsymbol{s})= \\
\boldsymbol{H}+(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{C} \boldsymbol{l}^{-}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{A} \boldsymbol{g}(\boldsymbol{s}) \text { occurs in }
\end{array}
\]
the galvanic cell
The correct cell representation is given
by
\( \mathbf{A} \cdot A g|A g C l(s)| K C l(s o l n .)\left|A g N O_{3}(s o l n .)\right| A g \)
B \( \cdot P t\left|H_{2}(g)\right| H C l(\text {soln.}) \mid A g N O_{3}(\text {soln.}) \mid A g \)
\( \mathbf{c} \cdot P t\left|H_{2}(g)\right| H C l(s o l n .)|A g C l(s)| A g(s) \)
D \( \cdot P t\left|H_{2}(g)\right| K C l(s o l n .)|A g C l(s)| A g \)
Subject: Maths
Assertion
If \( f(x)=(x-2)^{3} \) then \( f(x) \) has neither
maximum nor minimum at \( \boldsymbol{x}=\mathbf{2} \)
Reason
\( \boldsymbol{f}^{\prime}(\boldsymbol{x})=\mathbf{0}=\boldsymbol{f}^{\prime \prime}(\boldsymbol{x}) \) when \( \boldsymbol{x}=\mathbf{2} \)
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
Cellulose is straight-chain
polysaccharide compound of only:
A. D-Glucose units joined by \( \alpha \) -glycosidic linkage
B. D-Glucose units joined by \( \beta \) -glycosidic linkage
C. D-Galactose units joined by \( \alpha \) -glycosidic linkage
D. D-Galactose units joined by \( \beta \) -glycosidic linkage
Subject: Chemistry
The maximum probability of finding
electron in the \( d_{x y} \) orbital is
A. Along with \( x \) - axis
B. Along the \( y \) - axis
C. At an angle of \( 45^{0} \) from the \( X \) and Y axis
D. At an angle of \( 90^{0} \) from the \( x \) and \( y \) axis
Subject: Maths
Find the first term \( a_{1} \) and the common
difference \( d \) of the arithmetic
progression in which \( \boldsymbol{a}_{\mathbf{2}}+\boldsymbol{a}_{\mathbf{5}}-\boldsymbol{a}_{\mathbf{3}}= \)
\( \mathbf{1 0}, \boldsymbol{a}_{\mathbf{2}}+\boldsymbol{a}_{\mathbf{9}}=\mathbf{1 7} \)
Subject: Chemistry
What is the activation energy for a
reaction if the rate doubles when the
temperature is raised from \( 20^{\circ} \mathrm{C} \) to
\( \mathbf{3 5}^{\circ} \boldsymbol{C} ?\left(\boldsymbol{R}=\mathbf{8 . 1 3 4} \boldsymbol{J} \boldsymbol{m o l}^{-\mathbf{1}} \boldsymbol{K}^{-\mathbf{1}}\right) \)
A \( \cdot 15.1 \mathrm{kJ} \mathrm{mol}^{-1} \)
В. 342 k \( J \) mol \( ^{-1} \)
\( \mathbf{c} \cdot 269 k J \mathrm{mol}^{-1} \)
D. 34.7 kJ mol-
Subject: Physics
The average binding energies of
deuterium and \( \alpha \) -particle are \( 1.12 \mathrm{MeV} \)
and \( 7.1 \mathrm{MeV} \) respectively. The energy
that liberates in the reaction \( _{1} H^{2}+_{1} H^{2} \)
\( \rightarrow_{2} H e^{4} \) is
MeV.
\( \mathbf{A} \cdot 23.92 \)
B . 25
c. 25.6
D. 15.8
Subject: Chemistry
There are three isotopes of oxygen, each
containing 8,9,10 neutrons respectively. The abundance of one isotope
(containing 8 neutrons) is 90\%. The percentage of other isotope, if the
atomic mass of oxygen is \( 16.12, \) are :
A \( .^{17} O=8 \%, 18 O=2 \% \)
B. \( 17 O=2 \%, 18 O=8 \% \)
c. \( 17 O=10 \% \), \( ^{8} O=0 \% \)
D. \( 17 O=4 \%, 18 O=6 \% \)
Subject: Maths
In a right-angled triangle \( A B C \) with
\( \angle C=90^{\circ} \) and \( \angle A=2 \angle B, \angle B \) is
A \( \cdot 15^{\circ} \)
В. \( 60^{\circ} \)
\( c \cdot 45^{\circ} \)
D. \( 30^{\circ} \)
Subject: Physics
A wire of resistance \( 20 \Omega \) is covered with
ice and a voltage of \( 210 \mathrm{V} \) is applied across the wire, then rate of melting the ice is
A. \( 0.85 \mathrm{g} / \mathrm{s} \)
B. 1.92 \( g / \) s
c. \( 6.56 \mathrm{g} / \mathrm{s} \)
D. All of these
Subject: Chemistry
For the precipitation of \( A g C l \) by \( A g^{+} \)
ions and \( \boldsymbol{H} \boldsymbol{C l} \) :
A. \( \Delta H=0 \)
в. \( \Delta G=0 \)
c. \( \Delta G=-v e \)
D. \( \Delta H=\Delta G \)
Subject: Chemistry
\( 0.1 M N a O H \) is titrated with \( 0.1 M \)
\( \boldsymbol{H} \boldsymbol{A} \) till the end point; \( \boldsymbol{K}_{\boldsymbol{a}} \) for \( \boldsymbol{H} \boldsymbol{A} \) is
\( 5.6 \times 10^{-6} \) and degree of hydrolysis is
less compared to \( 1 . \) Calculate pH of the resulting solution at the end point.
Subject: Maths
ABCD is a parallelogram and \( A C, B D \) are its diagonals Express \( \overrightarrow{\boldsymbol{A C}} \) and \( \overrightarrow{\boldsymbol{B D}} \) in terms of \( \overrightarrow{\boldsymbol{A B}} \) and \( \overrightarrow{\boldsymbol{A D}} \) only
A \( \cdot \overrightarrow{A C}=\overrightarrow{A B}+\overrightarrow{A D} \quad ; \overrightarrow{B D}=-\overrightarrow{A B}+\overrightarrow{A D} \)
в. \( \overrightarrow{A C}=\overrightarrow{A B}-\overrightarrow{C B} \quad ; \overrightarrow{B D}=-\overrightarrow{A B}+\overrightarrow{A D} \)
c. \( \overrightarrow{A C}=\overrightarrow{A B}+\overrightarrow{A D} \quad ; \overrightarrow{B D}=\overrightarrow{B C}+\overrightarrow{C D} \)
D. all of the above
Subject: Physics
Two opposite forces \( F_{1}=120 N \) and
\( F_{2}=80 N \) act on an elastic plank of
modulus of elasticity \( \boldsymbol{Y}=\boldsymbol{2} \times \)
\( 10^{11} N m^{2} \) and length \( l=1 m \) placed
over a smooth horizontal surface. The
cross-sectional area of the planck is \( S=0.5 m^{2}, \) the change in length of the
plank is \( \boldsymbol{x} \times \mathbf{1 0}^{-9} \boldsymbol{m} \)
A . 1.0
B. 1.5
c. \( 1 . \)
D. 1.
Subject: Physics
A plane progressive wave is
represented by the equation \( \boldsymbol{y}= \) \( 0.25 \cos (2 \pi t-\pi x) . \) The equation of a
wave with double the amplitude and half the frequency but travelling in the opposite direction will be
A. \( y=0.5 \cos (\pi t-\pi x) \)
B. \( y=0.5 \cos (\pi t+\pi x \)
c. \( y=0.25 \cos (\pi t+2 \pi x) \)
D. \( y=0.5 \cos (2 \pi t+2 \pi x) \)
Subject: Maths
An automobile financier claims to be
lending money at simple interest, but he includes the interest every six
months for calculating the principal. If he is charging an interest of \( 10 \% \), the effective rate of interest becomes
A . \( 10 \% \)
B. \( 10.25 \% \)
c. \( 10.5 \% \)
D. \( 15 \% \)
Subject: Maths
\( s=u+\frac{1}{2} a(2 t-1) ; \) make 't' the
subject of formula.
A \( t=\frac{(s-u)+a}{2 a} \)
B. \( t=\frac{2(s-u)+a}{2 a} \)
c. \( t=\frac{2(s-u)-a}{2 a} \)
D. \( t=\frac{2(s+u)+a}{2 a} \)
Subject: Chemistry
Mark the column I with column II and
mark the appropriate choice.
Column I
(A)
\[
R C O C H_{3} \frac{Z n-H g}{H C l}
\]
\[
R C H_{2} C H_{3}
\]
\( 2 C_{6} H_{5} C H O \stackrel{N a O H}{\longrightarrow} \)
(B)
\[
C_{6} H_{5} C O O N a+
\]
\( (C) \)
\[
\begin{array}{l}
C_{6} H_{5} C H_{2} O H \\
C_{6} H_{6}+C H_{3} C O C l \frac{A n h}{A l C l_{3}}
\end{array}
\]
(iii)
(D)
\[
\begin{array}{l}
C_{6} H_{5} C O C H_{3} \\
C_{6} H_{10} O \frac{(i) N H_{2} N H_{2}}{K O H / e t h y l e n e g l y c o l, \Delta}
\end{array}
\]
(iv)
\[
C_{6} H_{12}+N_{2}
\]
\( A \cdot(A)-(i i),(B)-(i v),(C)-(i i i),(D)-(i) \)
B. (A) - (i), (B) - (iii), (C) - (ii), (D) - (iv)
C \( \cdot(A)-(\text { iii }),(B)-(i i),(C)-(i),(D)-(i v) \)
D. \( (A)-(i v),(B)-(i),(C)-(i i),(D)-(i i i) \)
Subject: Physics
A particle of mass \( m \) is in UCM of
radius \( r \) and has momentum equal to
\( P . \) Its \( \mathrm{KE} \) is equal to:
\( ^{\mathrm{A}} \cdot \frac{P^{2}}{2 m} \)
в. \( \frac{P^{2}}{m} \)
c. \( \frac{P}{2 m} \)
D. \( \frac{P}{m} \)
Subject: Physics
Two monatomic ideal gases 1 and 2 of
molecular masses \( m_{1} \) and \( m_{2} \)
respectively are enclosed in separate
containers kept at the same
temperature. The ratio of the speed of
sound in gas 1 to that in \( \operatorname{gas} 2 \) is given
by.
A \( \cdot \sqrt{\frac{m_{1}}{m_{2}}} \)
B. \( \sqrt{\frac{m_{2}}{m_{1}}} \)
\( \mathbf{c} \cdot \frac{m_{1}}{m_{2}} \)
D. \( \frac{m_{2}}{m_{1}} \)
Subject: Chemistry
Units of parts per million (ppm) or parts per billion (ppb) are often used to describe the concentrations of solutes
in very dilute solutions. The units are
defined as the number of grams of solute per million or per billion grams of solvent. Bay of Bengal has 1.89 ppm of
lithium ions. The molality of \( L i^{+} \) in this water is (atomic number of \( L \) i \( =7 \) ):
A \( \cdot 1.5 \times 10^{-4} m \)
В. \( 1.7 \times 10^{-4} \mathrm{m} \)
c. \( 2.5 \times 10^{-4} m \)
D. \( 2.7 \times 10^{-4} m \)
Subject: Physics
Vector \( \underset{A}{A} \) has a magnitude of 6 units and is in the direction of \( +x a x i s . \) Vector
\( \vec{B} \) has a magnitude of 4units lies in
the \( x \) -y plane making an angle of \( 30^{\circ} \) with \( +x-a x i s . \) Find the vector
product \( \underset{A}{A} \times \frac{ }{B} \)
Subject: Maths
The value of \( \int_{0}^{\sqrt{2}}\left[x^{2}\right] d x, \) where [.] is the greatest integer function, is
A \( .2-\sqrt{2} \)
B. \( 2+\sqrt{2} \)
c. \( \sqrt{2}-1 \)
D. \( \sqrt{2}-2 \)
Subject: Physics
A silver wire has temperature
coefficient of resistivity \( 4 \times 10^{-3} /^{\circ} C \)
and its resistance at \( 20^{\circ} \mathrm{C} \) is \( 10 \Omega \)
Neglecting any change in dimensions due to the change in temperature, its
resistance at \( 40^{\circ} \mathrm{C} \) is?
A . \( 0.8 \Omega \)
в. \( 1.8 \Omega \)
\( c .9 .2 \Omega \)
D. \( 10.8 \Omega \)
E . \( 11.6 \Omega \)
Subject: Chemistry
If calcium of weight \( x \) g, carbon \( y \) g and oxygen \( z \) g, are present in 1.5 g of calcium carbonate and if a sample of calcium carbonate from another source contains the following percentage composition: \( \boldsymbol{C a}=\mathbf{4 0 . 0 \%}, \boldsymbol{C}=\mathbf{1 2 . 0 \%} \)
and \( O=48.0 \% \), then find the value of
\( x, y \) and \( z . \) (The law of constant composition holds true.)
в. \( x=0.4, y=0.18, z=0.62 \)
c. \( x=0.6, y=0.2, z=0.70 \)
D. None of the above
Subject: Maths
The largest interval lying in \( \left(\frac{-\pi}{2}, \frac{\pi}{2}\right) \) for which the function \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{4}^{-\boldsymbol{x}^{2}}+ \)
\( \cos ^{-1}\left(\frac{x}{2}-1\right)+\log (\cos x) \) is defined
A \( \cdot\left[-\frac{\pi}{4}, \frac{\pi}{2}\right) \)
в. \( \left(0, \frac{\pi}{2}\right) \)
\( \mathbf{c} \cdot[0, \pi] \)
D. \( \left(-\frac{\pi}{2}, \frac{\pi}{2}\right) \)
Subject: Chemistry
In a catalytic conversion of \( N_{2} \) to \( N H_{3} \)
by Haber's process, the rate of reaction was expressed as change in the concentration of ammonia per time is
\( 40 \times 10^{-3} \mathrm{mol} \mathrm{L}^{-1} \mathrm{s}^{-1} . \) If there is no
side reaction, the rate of the reaction as expressed in terms of hydrogen is :
\( \left(\text { in } \operatorname{mol} L^{-1} s^{-1}\right) \)
A \( \cdot 60 \times 10^{-3} \)
B . \( 20 \times 10^{-3} \)
c. 1.200
D. \( 10.3 \times 10^{-3} \)
Subject: Chemistry
What do you think would be the observation if the \( \alpha \) -particle
scattering experiment is carried out
using a foil of a metal other than gold?
A. \( \alpha \) particles would deflect by the foil by large angles
B. Most of the fast moving \( \alpha \) particles would not pass straight through the metal foil
c. There would be no change in the observation
D. All particles would appear rebound
Subject: Physics
A uniform electric field of magnitude \( 290 V / m \) is directed in the positive \( x \) direction. \( A+13.0 \mu C \) charge moves from the origin to the point \( (x, y)= \) \( (20.0 c m, 50.0 c m) \)
What is the change in the potential
energy of the charge field system?
A . \( -754 J \)
в. \( -754 m J \)
c. \( -754 k J \)
D. \( -754 \mu J \)
Subject: Physics
A uniform sphere of mass \( \boldsymbol{m}=\mathbf{5 . 0} \boldsymbol{k g} \)
and radius \( R=6.0 \mathrm{cm} \) rotates with an
angular velocity \( \omega=1250 \mathrm{rad} / \mathrm{s} \) about
a horizontal axle passing through its centre and fixed on the mounting base
by means of bearings. The distance between the bearings equals \( l=15 \mathrm{cm} \)
The base is set in rotation about a
vertical axis with an angular velocity
\( \omega^{\prime}=5.0 \) rad \( / s . \) Find the magnitude of
the gyroscopic forces in \( \mathrm{N} \)
Subject: Physics
A room has \( A C \) run hours a day at a
voltage of \( 220 \mathrm{V} \). The wirng of the room consists of Cu of \( 1 \mathrm{mm} \) radius and a length of \( 10 \mathrm{m} . \) Power consumption per day is 10 commercial units. The fraction of it goes in the joule heating in wires is: \( \rho_{c u}=1.7 \times 10^{-8} \Omega m \)
A . \( 0.32 \% \)
B. \( 0.2 \% \)
c. \( 2 \% \)
D. \( 3.2 \% \)
Subject: Physics
Charge \( q \) is uniformly spread on a thin
ring of radius \( R \). The ring rotates about its axis with a uniform frequency \( \boldsymbol{f} \boldsymbol{H} \boldsymbol{z} \) The magnitude of magnetic induction at the centre of the ring is
A \( \cdot \frac{\mu_{0} q f}{2 R} \)
в. \( \frac{\mu_{0} q}{2 f R} \)
c. \( \frac{\mu_{0} q}{2 \pi f R} \)
D. \( \frac{\mu_{0} q f}{2 \pi R} \)
Subject: Physics
The \( K E \) of the electron in an orbit of
radius \( r \) in hydrogen atom is : \( (e= \)
electric charge)
\( ^{A} \cdot \frac{e^{2}}{r^{2}} \)
в. \( \frac{e^{2}}{2 r} \)
\( c \cdot \frac{e^{2}}{r} \)
D. \( \frac{e^{2}}{2 r^{2}} \)
Subject: Biology
Formula of rate of percolation is
A \( \cdot \) Percolation rate \( (\mathrm{mL} / \mathrm{min})=\frac{\text {amount of water}(\mathrm{mL})}{\text {percolation time}(\min )} \)
B. \( \quad \) Percolation rate \( (\mathrm{mL} / \mathrm{min})=\frac{\text {percolation time}(\min )}{\text {amount of water}(\mathrm{mL})} \)
C. Both A and B
D. None of these
Subject: Physics
An object is 1 metre in front of a curved surface of a plano-convex lens whose flat surface is silvered. A real image is
forme \( 120 c m \) in front of the lens. What
is the focal length of the lens?
A. \( 9.1 \mathrm{cm} \)
B. \( 90.1 \mathrm{cm} \)
c. \( 109.1 \mathrm{cm} \)
D. none of these
Subject: Maths
\( \mathbf{f}\left[\begin{array}{ccc}\mathbf{9} & -\mathbf{1} & \mathbf{4} \\ -\mathbf{2} & \mathbf{1} & \mathbf{3}\end{array}\right]=\boldsymbol{A}+\left[\begin{array}{ccc}\mathbf{1} & \mathbf{2} & -\mathbf{1} \\ \mathbf{0} & \mathbf{4} & \mathbf{9}\end{array}\right] \)
then find the matrix \( A \)
Subject: Maths
Expand \( (\boldsymbol{p}-\boldsymbol{2} \boldsymbol{q}+\boldsymbol{r})^{2} \)
\( \mathbf{A} \cdot p^{2}+4 q^{2}+r^{2}-4 p q-4 q r+2 r p \)
B \( \cdot p^{2}-4 q^{2}+r^{2}-4 p q-4 q r+2 r p \)
C \( \cdot p^{2}+4 q^{2}-r^{2}-4 p q-4 q r+2 r p \)
D. None of these
Subject: Chemistry
The molecular formula of dithionic acid
is:
A \( \cdot H_{2} S_{2} O_{7} \)
в. \( H_{2} S_{2} O_{6} \)
\( \mathrm{c} \cdot \mathrm{H}_{2} \mathrm{S}_{2} \mathrm{O}_{5} \)
D. \( H_{2} S O_{5} \)
Subject: Biology
Assertion
Neurons are said to possess the
property of excitability.
Reason
Neurons can get excited by a given
stimulus.
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: Chemistry
When benzene sulphuric acid and \( p \)
nitrophenol are treated with \( N a H C O_{3} \)
the gases released, respectively are:
A. \( S O_{2}, N O_{2} \)
в. \( S O_{2}, N O \)
\( \mathrm{c} \cdot \mathrm{SO}_{2}, \mathrm{CO}_{2} \)
D. \( C O_{2}, C O_{2} \)
Subject: Physics
Two beams of light have intensities of
\( I_{0} \) and \( 4 I_{0} \) in double-slit experiment. The phase difference between the beams is \( \frac{\pi}{4} \) at point \( A \) and \( \frac{\pi}{2} \) at point \( B \) Then, difference between intensities at
\( A \) and \( B \) is
A \( \cdot 2 \sqrt{2} I_{0} \)
(i) \( \sqrt{2} I_{0} \)
в. \( I_{0} \)
c. \( 4 I_{0} \)
D. \( 5 I_{0} \)
Subject: Physics
The mean length of an object is \( 5 \mathrm{cm} \) Which of the following measurements is most accurate?
A \( .4 .9 \mathrm{cm} \)
B . \( 4.805 \mathrm{cm} \)
\( c .5 .25 m \)
D. \( 5.4 \mathrm{cm} \)
Subject: Chemistry
When a substance \( A \) reacts with water, it produces a combustible gas \( B \) and a solution of substance \( C \) in water. \( D \)
reacts with this solution of \( C \) and
produces the same gas \( B \) on warming.
\( D \) can also produce gas \( B \) on reaction
with dilute \( H_{2} S O_{4} . A \) imparts a deep golden yellow colour to a smokeless flame. \( A, B, C \) and \( D \) are respectively:
A. \( N a, H_{2}, N a O H, Z n \)
в. \( K, H_{2}, \) КОН \( , \) Аг
c. \( C a, H_{2}, C a(O H)_{2}, S n \)
D. \( C a C_{2}, C_{2} H_{2}, C a(O H)_{2}, F e \)
Subject: Physics
A solid cylinder has mass ' \( M \) ', radius ' \( \boldsymbol{R} \) and length 'l'. Its moment of inertia about an axis passing through its center and perpendicular to its own axis is
\( ^{\mathrm{A}} \cdot \frac{2 M R^{2}}{3}+\frac{M l^{2}}{12} \)
B. \( \frac{M R^{2}}{3}+\frac{M l^{2}}{12} \)
\( ^{\mathbf{C}} \cdot \frac{3 M R^{2}}{4}+\frac{M l^{2}}{12} \)
D. \( \frac{M R^{2}}{4}+\frac{M l^{2}}{12} \)
Subject: Maths
Check the continuity of the function \( \boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{ll}\frac{|\boldsymbol{x}|}{\boldsymbol{x}}, & \boldsymbol{x} \neq \mathbf{0} \\ \mathbf{0}, & \boldsymbol{x}=\mathbf{0}\end{array} \quad \mathbf{a t} \boldsymbol{x}=\mathbf{0}\right. \)
Subject: Maths
Three school \( A, B \) and \( C \) organized a mela for collecting funds for helping the rehabilitation of flood victims. They sold
hand made fans, mats and plates from
recycled material at a cost of Rs \( 25, \) Rs
100 and \( R s 50 \) each. The number of
articles sold are given below:
school \( \begin{array}{lll}\text { School } & \text { School } & \text { Sc } \\ \text { A } & \text { B } & \text { c }\end{array} \) Articles
Hand40 25 fans
Mats 50 40
Plates 20 30 40
Find the fund collected by each school
separately by selling the above articles. Also, find the total funds collected for
the purpose.
Subject: Maths
Simplify the expression for \( f(x) \) and
then find \( \boldsymbol{f}^{\prime}(\boldsymbol{x}), \) if
\( \boldsymbol{f}(\boldsymbol{x})\left(\frac{\boldsymbol{2} \sqrt{\boldsymbol{x}}+\boldsymbol{3} \sqrt[4]{\boldsymbol{x}}}{\sqrt{\mathbf{1 6} \boldsymbol{x}}+\mathbf{1 2} \sqrt[4]{\boldsymbol{x}}+\boldsymbol{9}}-\frac{\sqrt[4]{\boldsymbol{x}}-\boldsymbol{3}}{\boldsymbol{2} \sqrt[4]{\boldsymbol{x}}+\boldsymbol{3}}\right. \)
\( \mathbf{3} \)
Subject: Physics
Two balls \( A \) and \( B \) having masses \( m \) kg and \( 2 m \mathrm{kg}, \) moving with speeds \( 21 \mathrm{m} / \mathrm{s} \) and \( 4 \mathrm{m} / \mathrm{s} \) respectively in opposite direction, collide head on. After collision \( A \) moves with a speed of \( 1 \mathrm{m} / \mathrm{s} \) in the same direction, then incorrect
statement is :
A. The velocity of B after collision is 6 \( \mathrm{m} / \mathrm{s} \) opposite to the direction before collision
B. The coefficient of resitution is 0.2
c. The loss of kinetic energy due to collision is \( (200 \mathrm{m}) \) )
D. The impulse of the force between the two ball is \( (40 \mathrm{m}) \) Ns
Subject: Maths
Let \( \boldsymbol{a}=\overline{\boldsymbol{i}}+\overline{\boldsymbol{j}}-\overline{\boldsymbol{k}}, \overline{\boldsymbol{b}}=\overline{\mathbf{5}} \boldsymbol{i}-\overline{\mathbf{3}} \boldsymbol{j}- \)
\( \mathbf{3 k}, \overline{\boldsymbol{c}}=\overline{\mathbf{3}} \mathbf{i}-\boldsymbol{j}-\mathbf{2} \overline{\mathbf{k}} . \) If collinear with \( \overline{\boldsymbol{c}} \)
and \( |\overline{\boldsymbol{r}}|=|\overline{\boldsymbol{a}}+\overline{\boldsymbol{b}}| . \) Then \( \overline{\boldsymbol{r}} \) equals:
\( \mathbf{A} \cdot \pm 3 c \)
B \( \cdot \pm \frac{3}{2} \sqrt[3]{c} \)
\( c \cdot \pm 2 c \)
\( \mathbf{D} \cdot \pm \frac{3}{2} \overline{4 c} \)
Subject: Maths
If \( \mathrm{I}, \mathrm{m}, \mathrm{n} \& \mathrm{I}^{\prime}, \mathrm{m}^{\prime}, \mathrm{n}^{\prime} \) be the direction cosines
of two lines which include an angle \( \boldsymbol{\theta} \)
then
\( \mathbf{A} \cdot \cos \theta=l l^{\prime}+m m^{\prime}+n n^{\prime} \)
B . \( \sin \theta=l l^{\prime}+m m^{\prime}+n n^{\prime} \)
\( \mathbf{c} \cdot \cos \theta=m n^{\prime}+m^{\prime} n+n l+n^{\prime} l+l m^{\prime}+l^{\prime} m \)
\( \mathbf{D} \cdot \sin \theta=m n^{\prime}+m^{\prime} n+n l+n^{\prime} l+l m^{\prime}+l^{\prime} m \)