AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
Two nucleons are at a separation of one Fermi. Protons have a charge of \( +1.6 \times \)
\( 10^{-19} \) C. The net nuclear force between
them is \( F_{1}, \) if both are neutrons, \( F_{2} \) if
both are protons and \( F_{3} \) if one is proton and the other is neutron. Then.
A \( . F_{1}=F_{2}>F_{3} \)
в. \( F_{1}=F_{2}=F_{3} \)
c. \( F_{1}<F_{2}<F_{3} \)
D. \( F_{1}>F_{2}>F_{3} \)
Subject: Maths
Assertion
The number of roots of the equation \( \sin \left(2^{x}\right) \cos \left(2^{x}\right)=\frac{1}{4}\left(2^{x}+2^{-x}\right) \) is 2
Reason
\( A M \geq G M \) for any two positive
numbers.
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
A container filled with viscous liquid is moving vertically downwards with
constant speed \( 3 v_{0} . \) At the instant shown, a sphere of radius \( r \) is moving vertically downwards (in liquid) has
speed \( v_{0} . \) The coefficient of viscosity is
\( \eta . \) There is no relative motion between
the liquid and the container. Then at the
shown instant, the magnitude of viscous force acting on sphere is:
\( \mathbf{A} \cdot 6 \pi \eta r v_{0} \)
В. \( 12 \pi \eta r v_{0} \)
\( \mathbf{c} \cdot 18 \pi \eta r v_{0} \)
D. 24\pi\etarv
Subject: Maths
\( \ln \) a \( \triangle A B C, \) side \( A B \) has the equation
\( 2 x+3 y=29 \) and the side \( A C \) has the
equation \( x+2 y=16 . \) If the mid point
of \( B C \) is \( (5,6), \) then the equation of \( B C \)
is
A. \( 2 x+y=7 \)
B . \( x+y=1 \)
c. \( 2 x-y=17 \)
D. None of these
Subject: Chemistry
A hydrocarbon \( Y \) decolourizes bromine water. The saturated compound resulted in this reaction, on treatment
with \( Z n \) dust gives back hydrocarbon \( Y \)
\( Y \) when passed through a solution of
\( A g N O_{3} \) dissolved in \( N H_{4} O H \) gives a white precipitate. The next higher homologue of \( Y \) that is \( X \) gives ketone
\( A \) as the product upon addition of water Identify \( X, Y, A \) and give equations.
Subject: Physics
Unpolarized light of intensity \( 32 W m^{-2} \) passes through three polarizes such that the transmission axis of the last
polarizers is crossed with that of the first. The intensity of final emerging light is \( 3 W m^{-2} \). The intensity of light transmitted by the first polarizered will be
\( \mathbf{A} \cdot 32 W m^{-2} \)
B. \( 16 \mathrm{Wm}^{-2} \)
\( \mathrm{c} \cdot 8 \mathrm{Wm}^{-2} \)
D. \( 4 \mathrm{Wm}^{-2} \)
Subject: Chemistry
Which of the above represents the formula for the most common
compound of \( A \) and \( B, \) where \( A \) and \( B \) represent given pairs of elements or polyatomic ions as indicated below?
A) \( \boldsymbol{H} \)
B) \( \boldsymbol{S} \)
\( \mathbf{A} \cdot A B \)
в. \( A B_{2} \)
c. \( A_{2} B \)
D. \( A B_{3} \)
E . \( A_{2} B_{3} \)
Subject: Physics
An object is placed on the surface of a
smooth inclined plane of inclination \( \boldsymbol{\theta} \). It
takes time \( t \) to reach the bottom. If the
same object is allowed to slide down a rough inclined plane of same
inclination \( \theta \), it takes times nth to reach
the bottom where \( n \) number greater
than \( 1 . \) The coefficient of friction \( \mu \) is
given by:
A \( \cdot \mu=\tan \theta\left(1-1 / n^{2}\right) \)
B \cdot \( \mu=\cot \theta\left(1-1 / n^{2}\right) \)
c. \( \mu=\tan \theta\left(1-1 / n^{2}\right)^{1 / 2} \)
D. \( \mu=\cot \theta\left(1-1 / n^{2}\right)^{1 / 2} \)
Subject: Maths
\( x \cos (a+y)=\cos y \)
then prove that \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}=\frac{\cos ^{2}(\boldsymbol{a}+\boldsymbol{y})}{\sin _{\boldsymbol{a}}} \)
Subject: Physics
A travelling wave is represented by the equation \( \boldsymbol{y}=20 \sin (20 \pi t-5 x) . \) The
angular frequency of the wave is
\( A \cdot 100 \mathrm{rad} / \mathrm{s} \)
B. 20 rad/s
c. \( 10 \mathrm{rad} / \mathrm{s} \)
D. 5 rad/s
Subject: Chemistry
Count the total number of \( X-O \) bonds
having equal length in \( \boldsymbol{H} \boldsymbol{S} \boldsymbol{O}_{4}^{-} \) and
\( \boldsymbol{S}_{3} \boldsymbol{O}_{6}^{2-} \) respectively. (If the answer is 5 and 3 then represent as 53 )
A . 36
B. 40
\( c \cdot 42 \)
D. 44
Subject: Physics
While travelling back to his residence in the car, Dr. Pathak was caught up in a thunderstorm. It became very dark. He stopped driving the car and waited for thunderstorm to stop. Suddenly he noticed a child walking alone on the road. He asked the boy to come inside the car till the thunderstorm stopped.
Dr. Pathak dropped the boy at his residence. The boy insisted that Dr. Pathak should meet his parents. The parents expressed their gratitude to Dr. Pathak for his concern for safety of the child.

Answer the following questions based on the above information:
(a) Why is it safer to sit inside a car during a thunderstorm?
(b) Which two values are displayed by
Dr. Pathak in his action?
(c) Which values are reflected in
parents' response to Dr. Pathak?
(d) Give an example of similar action on your part from your everyday life?
Subject: Physics
With what speed in miles/hour \( 1 m / s=2.23 m i / h \) ) must an object be
thrown to reach a height of \( 91.5 m \) (equivalent to one football field)? Assume negligible air resistance.
A. \( 94.4 \mathrm{mi} / \mathrm{h} \)
в. \( 84.4 \mathrm{mi} / \mathrm{h} \)
c. \( 74.4 \mathrm{mi} / \mathrm{h} \)
D. \( 94 m i / h \)
Subject: Chemistry
You place \( 2.56 \mathrm{g} \) CaCO\( _{3} \) (calcium carbonate) in a beaker containing 250
\( \mathrm{mL} \) of \( 0.125 \mathrm{M} \) HCl. What mass of
\( \mathrm{CaCl}_{2} \) can be produced? (Answer in nearest integer)
\( \boldsymbol{C a} \boldsymbol{C O}_{3}(\boldsymbol{s})+\boldsymbol{2} \boldsymbol{H} \boldsymbol{C l}(\boldsymbol{a q}) \rightarrow \)
\( \boldsymbol{C a C l}_{2}(\boldsymbol{a q})+\boldsymbol{C O}_{2}(\boldsymbol{g})+\boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{l}) \)
Subject: Chemistry
In the given reaction,
\( \boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{2} \leftrightharpoons \boldsymbol{A}+\boldsymbol{B}( \) equilibrium reaction
in room temperature)
\( A \) and \( B \) cannot be:
This question has multiple correct options
A. \( N_{2} O_{3} \)
в. \( N_{2} O_{5} \)
\( \mathrm{c} \cdot \mathrm{H}_{2} \mathrm{O} \)
D. hydronium ions
Subject: Maths
\( \ln \triangle A B C, \angle B=90^{\circ}, B C=7 \) and
\( A C-A B=1, \) then \( \cos C=\dots \)
A \( \cdot \frac{3}{25} \)
в. \( \frac{6}{25} \)
\( c \cdot \frac{7}{25} \)
D. \( \frac{8}{25} \)
Subject: Physics
Two identical sound waves each of
loudness \( \beta \) interfere constructively at a
point to produce a sound level of
\( \mathbf{A} \cdot 6 \beta \)
B. \( 3 \beta \)
\( \mathbf{c} \cdot \beta+3 \)
\( \mathbf{D} \cdot \beta+6 \)
Subject: Maths
In the given figure the diameter of the biggest semi circle is \( 56 \mathrm{cm} \) and the
radius of the smallest circle is \( 7 \mathrm{cms} \)
The area of the shaded portion is
A \( \cdot 482 \mathrm{cm}^{2} \)
B. \( 462 \mathrm{cm}^{2} \)
\( \mathbf{c} \cdot 654 \mathrm{cm}^{2} \)
D. \( 804 \mathrm{cm}^{2} \)
Subject: Maths
The area of the floor of a room is \( 15 m^{2} .1 \)
its height is \( 4 m \), then the volume of the
air contained in the room is
A. \( 60 d m^{3} \)
в. \( 600 d m^{3} \)
\( \mathbf{c} \cdot 6000 x m^{3} \)
D. \( 60000 d m^{3} \)
Subject: Physics
The potential energy of a simple harmonic oscillator of mass \( 2 \mathrm{kg} \) in its mean position is 5 J. If its totalenergy is
\( 9 \mathrm{J} \) and its amplitude is \( 0.01 \mathrm{m}, \) its time period would be
A. \( \pi / 10 \) sec
B . \( \pi / 20 \mathrm{sec} \)
c. \( \pi / 50 \) sec
D. \( \pi / 100 \) sec
Subject: Physics
STATEMENT-1
An astronaut in an orbiting space station above the Earth experiences weightlessness.
and

STATEMENT-2
An object moving around the Earth under the influence of Earths
gravitational force is in a state of freefall.
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: Maths
Verify lagrange's mean value theorem
for the function
\( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{2}+\boldsymbol{2} \boldsymbol{x}+\boldsymbol{3} \) where \( \boldsymbol{x} \in[\boldsymbol{4}, \boldsymbol{6}] \)
Subject: Physics
The volume of an auditorium is \( 100 \mathrm{m} \times \)
\( 50 m \times 15 m . \) The reverberation time in
that auditorium is 2 s when the person
who is giving a speech is at a distance of \( 5 \mathrm{m} \) from a wall. The reverberation
time if the same person gives speech at a distance 10m from the wall is
A . \( 1 \mathrm{s} \)
B. 2
\( c \cdot 0.5 s \)
D. 4 s
Subject: Physics
The height of mercury which exerts the
same pressure as \( 20 \mathrm{cm} \) of water column is : ( Given relative density of
mercury=13.56)
A \( .1 .47 \mathrm{cm} \)
B. \( 14.8 \mathrm{cm} \)
\( c \cdot 148 \mathrm{cm} \)
D. None of these
Subject: Physics
What happens to the reading of
\( A_{1}, A_{2}, A_{3} \) and \( A \) when the bulb \( B_{2} \) gets
fused?
A \( . A_{1}=1 A, A_{2}=0 A, A_{3}=0 A \) and \( A=2 A \)
B. \( A_{1}=1 A, A_{2}=0 A, A_{3}=1 A \) and \( A=2 A \)
C. \( A_{1}=2 A, A_{2}=0 A, A_{3}=1 A \) and \( A=2 A \)
D. \( A_{1}=1 A, A_{2}=0 A, A_{3}=1 A \) and \( A=1 A \)
Subject: Maths
If the function \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left\{\begin{array}{ll}\frac{1-\cos 4 x}{x^{2}} & \text { if } x<0 \\ a & \text { if } x=0 \\ \frac{\sqrt{x}}{\sqrt{16+\sqrt{x}-4}} & \text { if } x>0\end{array}\right. \)
is continuous at \( x=0 \) then \( a= \)
\( \mathbf{A} \cdot \mathbf{8} \)
B.
\( c .-8 \)
\( D \)
Subject: Biology
Q Type your question
them are correct
(i) In Primary treatment First, floating debris of waste is removed by sequence filters
(ii) The Soil and small pebbles are
removed by sedimentation in settling
tanks
(iii)The sediment is called primary sludge and supernatant is effluent.
(iv) The Sludge is taken for Secondary
treatment.
(v) Lower the B.O.D., higher Is water
pollution. (vi)When DDT enters the food chain
then they reach water and are easily degradable. (vii)Discharge of sewage water into river water will decrease its B.O.D.
(viii) Chlorine is added to disinfect
drinking water
A \( . \) (i), (ii), (iii), (iv)
B. (i), (ii), (iii), (vii)
\( \mathbf{c} \cdot(\mathbf{i}),(\mathbf{i} i)(\mathbf{i v}),(\mathbf{v}) \)
D. (i), (iv),(v), (viii)
Subject: Physics
A wire of radius \( r, \) Youngs modulus \( Y \) and length \( l \) is hung from a fixed point and supports a heavy metal cylinder of volume \( V \) at its lower end. The change
in length of wire when cylinder is immersed in a liquid of density \( \rho \) is in fact
A \( \cdot \) decreases by \( \frac{V l \rho g}{Y \pi r^{2}} \)
B. increases by \( \frac{V r \rho g}{Y \pi l^{2}} \)
c. decreases by \( \frac{V \rho g}{Y \pi r} \)
D. increases by \( \frac{V \rho g}{\pi r l} \)
Subject: Maths
If \( \boldsymbol{A}=\left|\begin{array}{cc}\mathbf{5} & \boldsymbol{x}-\mathbf{2} \\ \mathbf{2} \boldsymbol{x}+\mathbf{3} & \boldsymbol{x}+\mathbf{1}\end{array}\right| \) is symmetric
\( \operatorname{then} x= \)
A .4
B. 5
c. -5
D. -
Subject: Chemistry
If \( K_{1} \) and \( K_{2} \) are the respective
equilibrium constants for the two
reactions:
\( \boldsymbol{X} \boldsymbol{e} \boldsymbol{F}_{6}(\boldsymbol{g})+\boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g}) \Leftrightarrow \boldsymbol{X} \boldsymbol{e} \boldsymbol{O} \boldsymbol{F}_{4}(\boldsymbol{g})+ \)
\( 2 H F(g) \)
\( \boldsymbol{X} \boldsymbol{e} \boldsymbol{O}_{4}(\boldsymbol{g})+\boldsymbol{X} \boldsymbol{e} \boldsymbol{F}_{6}(\boldsymbol{g}) \Leftrightarrow \boldsymbol{X} \boldsymbol{e} \boldsymbol{O} \boldsymbol{F}_{4}(\boldsymbol{g})+ \)
\( \boldsymbol{X} \boldsymbol{e} \boldsymbol{O}_{3} \boldsymbol{F}_{2}(\boldsymbol{g}) \)
The equilibrium constant of the reaction \( \boldsymbol{X} \boldsymbol{e} \boldsymbol{O}_{4}(\boldsymbol{g})+\boldsymbol{2} \boldsymbol{H} \boldsymbol{F}(\boldsymbol{g}) \Leftrightarrow \)
\( X e O_{3} F_{2}(g)+H_{2} O(g) \) will be:
A \( . K_{1} \times K_{2} \)
в. \( \frac{K_{2}}{K_{1}} \)
c. \( \frac{K_{1}}{\left(K_{2}\right)^{2}} \)
D. \( \frac{K_{1}}{K_{2}} \)
Subject: Chemistry
Calculate reduction potential of the
following half-cell reaction at \( 25^{\circ} \mathrm{C} \)
\[
\begin{array}{rl}
2 H_{2} O+2 e & H_{2}+2 O H^{-} \\
& (1 \operatorname{atm})\left(10^{-7}\right)
\end{array}
\]
Subject: Maths
A plane \( \pi \) makes intercepts 3 and 4
respectively on \( z- \) axis. If \( \pi \) is parallel to \( \boldsymbol{y}- \) axis, then its equation is ?
A. \( 3 x+4 z=12 \)
B. \( 3 z+4 x=12 \)
c. \( 3 y+4 z=12 \)
D. \( 3 z+4 y=12 \)
Subject: Physics
A force of \( 10^{3} \mathrm{N} \) stretches the length of a
hanging wire by 1 millimeter. The force required to stretch a wire of same material and length but having four
times the diameter by 1 millimeter is :
\( \mathbf{A} \cdot 4 \times 10^{3} \mathrm{N} \)
В \( \cdot 16 \times 10^{3} \mathrm{N} \)
c. \( \frac{1}{4} \times 10^{3} \mathrm{N} \)
D. \( \frac{1}{16} \times 10^{3} \mathrm{N} \)
Subject: Physics
A ball is thrown from a point on ground at some angle of projection. At the time a bird starts from a point directly above
this point of projection at a height \( h \) horizontally with speed \( u \). Given that in its flight ball just touches the bird at one point. Find the distance on ground where ball strikes:
\( \sqrt[4]{2 u} \sqrt{\frac{h}{g}} \)
в. \( u \sqrt{\frac{2 h}{g}} \)
c. \( 2 u \sqrt{\frac{2 h}{g}} \)
\( u \sqrt{\frac{h}{g}} \)
Subject: Maths
If the derivative of the functions \( f(x)= \) \( \left\{\begin{array}{cc}b x^{2}+a x+4 ; & x \geq-1 \\ a x^{2}+b ; & x<-1\end{array}\right\} \) is
everywhere continuous then
A \( . a=2, b=3 \)
В. \( a=3, b=2 \)
C \( . a=-2, b=-3 \)
D. \( a=-3, b=-2 \)
Subject: Physics
Given : A and B are input terminals.
\( \operatorname{Logic} 1=>5 V \)
\( \operatorname{Logic} \mathbf{0}=<\mathbf{1} \boldsymbol{V} \)
Which logic gate operation, the following circuit does?
\( A \). AND Gate
B. OR Gate
c. XOR Gate
D. NOR Gate
Subject: Chemistry
The pairs of species of oxygen and their magnetic behaviours are noted below. Which of the following presents the correct description?
A \( \cdot O, O_{2}^{2-} \) - Both paramagnetic
B. \( O_{2}^{-}, O_{2}^{2-} \) - Both diamagnetic
C. \( O^{+}, O_{2}^{2-} \) - Both paramagnetic
D. \( O_{2}^{+}, O_{2} \) - Both paramagnetic
Subject: Chemistry
The heat of combustion of carbon to
\( C O_{2} \) is \( -393.5 \mathrm{kJ} / \mathrm{mol} \). The heat released
upon formation of \( 35.2 \mathrm{g} \) of \( C O_{2} \) from
carbon and oxygen gas is:
A . - 315kJ
B. +315kJ
c. -630Kj
D. +3.15kJ
Subject: Chemistry
Consider the following statements and arrange in the order of true/ false as
given in the codes.
\( \boldsymbol{S}_{1}: \) Metals comprises less than \( 78 \% \) of
all known elements and appear on the
left side of the periodic table.
\( S_{2}: \) Silicon, germanium, arsenic, antimony, selenium and tellurium all are semi-metals.
\( \boldsymbol{S}_{3}: \) The following order represents the correct increasing order of metallic character; \( \boldsymbol{P}<\boldsymbol{S} \boldsymbol{i}<\boldsymbol{B} \boldsymbol{e}<\boldsymbol{M} \boldsymbol{g}<\boldsymbol{N} \boldsymbol{a} \)
A. FFT
в. \( \pi \)
c. FTF
D. TT
Subject: Physics
The displacement current is
A \( \cdot_{\varepsilon_{o}} \frac{d \phi_{E}}{d t} \)
в. \( \frac{\varepsilon_{o}}{R} \frac{d \phi_{E}}{d t} \)
\( \mathbf{c} \cdot_{\varepsilon_{o}} \frac{E}{R} \)
D. \( \varepsilon_{o} q \frac{C}{R} \)
Subject: Maths
If a and b are real numbers and \( (a+ \)
\( i b)^{11}=1+3 i, \) then \( (b+i a)^{11} \) is equal
to
A . \( i+3 \)
B. \( 1+3 i \)
\( c \cdot 1-3 i \)
D. 0
E \( .-i-3 \)
Subject: Maths
In the given figure three lines \( \overrightarrow{A B}, \overrightarrow{C D} \)
and \( \widehat{E F} \) intersecting at \( 0 . \) Find the values of \( x, y \) and \( z \) it is being given
that \( \boldsymbol{x}: \boldsymbol{y}: \boldsymbol{z}=\boldsymbol{2}: \boldsymbol{3}: \boldsymbol{5} \)
Subject: Physics
A body, under the action of a force \( \overrightarrow{\boldsymbol{F}}= \) \( 6 \hat{i}-8 \hat{j}+10 \hat{k}, \) acquires an acceleration
of \( 1 m / s^{2} . \) The mass of this body must
be:
A \( \cdot 10 \sqrt{2} k g \)
в. \( 2 \sqrt{10} k g \)
c. \( 10 \mathrm{kg} \)
D. 20 kg
Subject: Biology
In glomerulus of rabbit
A. Afferent glomerular capillary is wider than efferent glomerular capillary
B. Afferrent glomerular capillary is narrower than efferent glomerular capillary
C. Afferent glomerular arteriole is narrower than the efferent glomerular arteriole
D. Afferent glomerular arteriole is wider than the efferent glomerular arteriole
Subject: Maths
\( \operatorname{Let} \boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{cc}2 x^{2} & \text { if } \boldsymbol{x} \text { is rational } \\ 0 & \text { if } \boldsymbol{x} \text { is irrational } \boldsymbol{l}\end{array}\right. \)
then
A. \( f \) is continuous on \( \mathrm{R} \)
B. \( f \) is not continuous except at \( x=0 \)
C \( . f \) is differentiable only at one point
D. \( f \) is continuous at infinitely many points of \( \mathrm{R} \)
Subject: Physics
The mass and energy equivalent to
1 amu are respectively
A \( \cdot 1.67 \times 10^{-27} g m, 9.30 \mathrm{MeV} \)
В. \( 1.67 \times 10^{-27} \) к \( g \), 930 Ме \( V \)
C . \( 1.67 \times 10^{-27} \mathrm{kg}, 1 \mathrm{MeV} \)
D. \( 1.67 \times 10^{-34} k g, 1 M e V \)
Subject: Physics
The angular resolution of a \( 10 \mathrm{cm} \) diameter telescope at a wavelength of
\( 5000 A^{0} \) is of the order of
\( \mathbf{A} \cdot 10^{4} r a d \)
B \( \cdot 10^{-6} \mathrm{rad} \)
\( \mathbf{c} \cdot 10^{6} r a d \)
D. \( 10^{2} r a d \)
Subject: Physics
What are the maximum speeds of a
particle executing SHM of amplitude A and time period \( T \)
\( \mathbf{A} \cdot\left(V_{\max }=4 \pi A / T, V_{\min }=0\right) \)
B . \( \left(V_{\max }=\pi A / T, V_{\min }=0\right) \)
C \( \cdot\left(V_{\max }=\pi A / 2 T, V_{\min }=2 \pi A / T\right) \)
D. \( \left(V_{\max }=2 \pi A / T, V_{\min }=0\right) \)
Subject: Physics
If \( I \) is the moment of inertia of a
circular ring about a tangent of ring in its plane then the moment of inertia of the same ring about a tangent of ring perpendicular to its plane is:
A \( \cdot \frac{2 I}{3} \)
в. \( \frac{3 I}{2} \)
c. \( \frac{4 I}{3} \)
D. \( \frac{3 I}{4} \)
Subject: Physics
\( 1 \mathrm{mA}=_{-}-_{-}---^{\mathrm{A}} \)
\( \mathbf{A} \cdot 10^{3} A \)
B. \( 10^{-3} A \)
\( c \cdot 10^{6} A \)
D. \( 10^{-6} A \)
Subject: Physics
Three resistance \( P, Q, R \) each of \( 2 \Omega \) and
an unknown resistance S form the four
arms of a Wheatstone's bridge circuit. When a resistance of \( 6 \Omega \) is connected
in parallel to \( \mathrm{S} \) the bridge gets balanced What is the value of S?
A . \( 2 \Omega \)
B. 3\Omega
\( c \cdot 6 \Omega \)
D. 1\Omega
Subject: Physics
A train starts from rest and moves with
a constant acceleration for the first \( 1 \mathrm{km} \)
For the next \( 3 \mathrm{km}, \) it has a constant
velocity and for last \( 2 \mathrm{km} \), it moves with constant retardation to come to rest
after a total time of motion of 10 min.
Find the maximum velocity and the three time intervals in the three types of
motion.
Subject: Chemistry
In a certain reaction. \( 10 \% \) of the
reactant decomposes in one hour, \( 20 \% \) in two hours, \( 30 \% \) in three hours, and so
on. The dimension of the velocity constant (rate constant) are:
A \( \cdot h r^{-1} \)
B. \( \operatorname{Mol} L^{-1} h r^{-1} \)
c. \( L m o l^{-1} s^{-1} \)
D. Mols"
Subject: Chemistry
In the nitration of benzene with a
mixture of concentrated \( \boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{3} \) and
concentrated \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) the active species involved is :
A \( . N O_{3}^{-} \)
в. \( N O_{2} \)
\( \mathbf{c} \cdot N O_{2}^{-} \)
D. \( N O_{2}^{\text {th }} \)
Subject: Physics
\( \vec{A} \) and \( \vec{B} \) are two vectors in a plane at an
angle of \( 60^{0} \) with each other. \( \vec{C} \) is
another vector perpendicular to the plane containing vectors \( \overrightarrow{\boldsymbol{A}} \) and \( \overrightarrow{\boldsymbol{B}} \) Which of the following relations is possible?
A \( \cdot \vec{A}+\vec{B}=\vec{C} \)
в. \( \vec{A}+\vec{C}=\vec{B} \)
c. \( \vec{A} \times \vec{B}=\vec{C} \)
D. \( \vec{A} \times \vec{C}=\vec{B} \)
Subject: Maths
\( \frac{a^{n}+b^{n}}{a^{n-1}+b^{n-1}} \) is the AM between \( a \) and \( b \)
if \( n \) is
\( \mathbf{A} \cdot \mathbf{0} \)
в. \( \frac{1}{2} \)
\( c \cdot 1 \)
D. -
Subject: Chemistry
Which of the following set of quantum number represents highest energy of an atom?
\( A \cdot_{n=3, \mid=2, m=1, s=+\frac{1}{2}} \)
B. \( n=3,1=2, m=1, s=-\frac{1}{2} \)
\( c \cdot_{n=4,1=0, m=0, s=+\frac{1}{2}} \)
D. \( n=3, s=+\frac{1}{2} \)
Subject: Physics
Two circular plates of radius \( R \) are kept
at distance \( h \) to make a parallel plate capacitor as shown in the figure. Then the capacitance of this capacitor is:
A \( \cdot \frac{\varepsilon_{0} \pi R^{2}}{h} \)
B. \( \frac{\varepsilon_{0} 2 \pi R}{h} \)
c. \( \frac{2 \varepsilon_{0} 2 \pi R^{2}}{h} \)
D. none of these
Subject: Biology
Assertion: Myelinated nerve fibre are enveloped with Schwann cells, which form a myelin sheath around the axon Reason: Unmyelinated nerve fibre is not enclosed by a Shwann cell and hence does not form a myelin sheath around the axon
A. If both assertion and reason are true and the reason is the correct explanation of the assertion
B. If both assertion and reason are true but reason is not the correct explanation of the assertion
c. If assertion is true but reason is false
D. If both assertion and reason are false
Subject: Maths
Assertion
\( \left[\begin{array}{lll}3 & 0 & 0 \\ 0 & 4 & 0 \\ 0 & 0 & 7\end{array}\right] \) is a diagonal matrix.
Reason
If \( \boldsymbol{A}=\left[\boldsymbol{a}_{i j}\right] \) is a square matrix such that
\( \boldsymbol{a}_{\boldsymbol{i j}}=\mathbf{0}, \forall \boldsymbol{i} \neq \boldsymbol{j}, \) then \( \boldsymbol{A} \) is called a
diagonal matrix.
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 certain force acting on a body of mass 2kg increase its velocity from 6m/s to \( 15 \mathrm{m} / \mathrm{s} \) in \( 2 \mathrm{s} \). The work done by the force during this interval is?
A. 27
B. 3J
c. \( 94.5 \mathrm{J} \)
D. 1890
Subject: Physics
Two particle starting from a point on a circle of radius \( 4 \mathrm{m} \) in horizontal plane move along the circle with constant
speed of \( 4 \mathrm{ms}^{-1} \) and \( 6 \mathrm{ms}^{-1} \)
respectively in opposite direction.The paticles will collide with each other after a time of
A . \( 3.0 s \)
в. \( 2.5 s \)
\( c .2 .0 s \)
D. \( 1.5 s \)
Subject: Chemistry
What is a buffer?
A. A solution that contains equal amounts of a weak acid and its conjugate base, or a weak base and its conjugate acid.
B. A solution that contains both a strong acid and a base.
C. A solution that contains an acid
D. A solution that contains equal amounts of a strong acid and its conjugate base, or a strong base and its conjugate acid.
E. A solution that contains a base.
Subject: Chemistry
Assertion
Be and Mg do not impart characteristic colour to the flame.
Reason
Both Be and Mg have high ionization energy.
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