AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
If force \( F=(500-100) t, \) then impulse as
a function of time will be:-
\( \mathbf{A} \cdot 500 t-50 t^{2} \)
B . \( 50 t-10 \)
c. \( 50-t^{2} \)
D. \( 100 t^{2} \)
Subject: Physics
The force between two magnetic poles
reduces to \( a N, \) if distance between
them is increased to \( n \) times and it
increases to \( b N \) if the distance between
them is \( 1 / n^{t h} \) the original value. Then
\( a: b \) is :
\( A \cdot 1 \cdot n^{2} \)
B \( \cdot n^{2}: \)
\( c \cdot n^{4} \cdot 1 \)
\( D \cdot 1: n^{4} \)
Subject: Physics
When a ball is \( h \) metre high from a point
\( O, \) its velocity is \( v . \) When it is \( h m \) below
\( O, \) its velocity is \( 2 v . \) Find the maximum
height from \( O \) it will acquire.
\( ^{A} \cdot \frac{2 h}{3} \)
в. \( \frac{5 h}{3} \)
c. \( \frac{3 h}{2} \)
D. \( 2 h \)
Subject: Physics
Consider a cylinder of mass \( M \) resting
on a rough horizontal rug that is pulled out from under it with acceleration \( a \)
perpendicular to the axis of the cylinder.
What is \( F_{f r i c t i o n} \) at point \( P ? \) It is assumed that the cylinder does not slip.
\( A \cdot \frac{M a}{3} \)
в. \( M g \)
\( c \cdot \frac{M a}{2} \)
D. \( M a \)
Subject: Physics
A magnetic field directed along \( Z \) axis varies as \( \mathrm{B}=\mathrm{BO} \times \mathrm{aB}=\mathrm{BOxa} \) directed along
\( X \) axis, the induced emf (in volts) in the
loop is
A . 3
B . 2
\( c .5 \)
D. 6
Subject: Physics
In the uranium radioactive series, the initial nucleus is \( _{92} U^{238} \) and that the final nucleus is \( _{82} P b^{206} . \) When uranium nucleus decays to lead the number of \( \alpha \)
particles and \( \beta- \) particles emitted are:
A. \( 8 \alpha, 6 \beta \)
в. \( 6 \alpha, 7 \beta \)
c. \( 6 \alpha, 8 \beta \)
D. \( 4 \alpha, 3 \beta \)
Subject: Physics
A fixed amount of dry air at
temperature of \( 27^{\circ} C \) is compressed to \( \frac{1}{9} t h \) of original volume. Its final temperature is \( (\gamma=\mathbf{1 . 5}) \)
\( \mathbf{A} \cdot 627^{\circ} C \)
B. \( 600^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 158^{\circ} \mathrm{C} \)
D. \( 527^{\circ} \mathrm{C} \)
Subject: Physics
A conducting wire in the form of circular loop of radius \( \sqrt{\frac{2}{\pi}} \mathrm{m} \) is places normal to a uniform magnetic field of induction 2T. If the magnetic induction is uniformly reduced to T in 2s, the induced e.m.f in the loop is
A. 4 volt
B. 2volt
c. 1 volt
D. 0.4volt
Subject: Chemistry
The hydrolysis of ethyl acetate is a reaction of:
\( \boldsymbol{C H}_{3} \boldsymbol{C O O C}_{2} \boldsymbol{H}_{5}+\boldsymbol{H}_{2} \boldsymbol{O} \stackrel{\boldsymbol{H}^{+}}{\longrightarrow} \)
\( \boldsymbol{C H}_{3} \boldsymbol{C O O H}+\boldsymbol{C}_{2} \boldsymbol{H}_{5} \boldsymbol{O H} \)
A. zero order
B. first order
c. second order
D. third order
Subject: Physics
If \( g \) is the acceleration due to gravity on
the surface of the earth, the gain in potential energy of an object of mass \( \boldsymbol{m} \)
raised from the earth's surface to a
height equal to the radius \( R \) of the earth is
\( ^{\mathrm{A}} \cdot \frac{m g R}{4} \)
в. \( \frac{m g R}{2} \)
\( \mathbf{c} \cdot m g R \)
D. \( 2 m g R \)
Subject: Physics
A \( 1.0 \mathrm{kg} \) box on a horizontal surface
experiences a 3.0 N horizontal frictional force. How much force must be applied horizontally to the box to cause it to accelerate at \( 1.0 \mathrm{m} / \mathrm{s}^{2} \) ?
A . \( 1.0 \mathrm{N} \)
в. 2.0 N
c. 3.0 N
D. 4.0 N
E. \( 5.0 \mathrm{N} \)
Subject: Chemistry
Two liquids \( A \) and \( B \) form an ideal
solution at temperature \( T . \) When the
total vapour pressure above the
solution if 600 torr, the amount
fraction of \( A \) in the vapour phase is 0.40
and in the liquid phase is \( 0.6 . \) What are the vapour pressure of pure \( A \) and \( B \) at
temperature \( T ? \)
Subject: Maths
If the primitive of \( \frac{1}{x^{6}+x^{4}} \) is \( f(x)+ \) \( \frac{1}{x}+g(x) x^{-3}+C, \) then
This question has multiple correct options
A \( \cdot f(x)=\tan ^{-1} x \)
B \( \cdot f(x)=2 \tan ^{-1} x \)
c. \( g(x) \) is a constant function
D. \( g(x)=-1 / 3 \)
Subject: Physics
Mark correct option or options:
A. The minimum distance between a real image and the real object in concave mirror is zero
B. The minimum distance between a real object and real image in concave mirror is greater than \( 4 f \), where \( f \) is focal length of the lens
C. The focal length of concave mirror depends upon the wavelength of light incident on it
D. The focal length of mirror depends upon medium infront of the mirror
Subject: Physics
A circuit \( A B C D \) is held perpendicular
to the uniform magnetic field of \( \boldsymbol{B}= \)
\( 5 \times 10^{-2} T \) extending over the region
\( P Q R S \) and directed into the plane of
the paper. The circuit is moving out of
the field at a uniform speed of \( 0.2 m s^{-1} \)
for \( 1.5 s . \) During this time, the current in
the \( 5 \Omega \) resistor is
\( \mathbf{A} \cdot 0.6 m A \) from \( B \) to \( C \)
B. \( 0.9 m A \) from \( B \) to \( C \)
c. \( 0.9 m A \) from \( C \) and \( B \)
D. \( 0.6 m A \) from \( C \) to \( B \)
E. \( 0.8 m A \) from \( C \) to \( B \)
Subject: Chemistry
Reaction \( \boldsymbol{A}+\boldsymbol{B} \longrightarrow \boldsymbol{C}+\boldsymbol{D} \) follows rate
\( \operatorname{law}, \boldsymbol{r}=\boldsymbol{k}[\boldsymbol{A}]^{1 / 2}[\boldsymbol{B}]^{1 / 2} \) starting with \( \mathbf{1} \boldsymbol{M} \)
of \( A \) and \( B \) each. What is the time taken
for concentration of \( \boldsymbol{A} \) become \( \mathbf{0 . 1} \boldsymbol{M} \) ?
\( \left[\text { Given } 2.303 \times 10^{-2} s e c^{-1}\right] \)
\( \mathbf{A} \cdot 10 \sec \)
B. 100sec
c. 1000 sec
D. 434 sec
Subject: Physics
Find the dipole moment of a system
where the potential \( 2.0 \times 10^{-5} V \) at a
point \( P, 0.1 m \) from the dipole is \( 3.0 \times \)
\( 10^{4} .\left(\operatorname{Use} \theta=30^{\circ}\right) \)
A . \( 2.57 \times 10^{-17} \mathrm{Cm} \)
B . \( 1.285 \times 10^{-15} \mathrm{Cm} \)
c. \( 1.285 \times 10^{-17} \mathrm{Cm} \)
D. \( 2.57 \times 10^{-15} \mathrm{Cm} \)
Subject: Physics
Which of the following statement(s)
is/are correct?
This question has multiple correct options
A. If n identical cells are connected in series and then the
battery thus formed is short circuited by a conduction wire, current through the wire will be independent of \( n \)
B. If n identical cells are connected in parallel and then the battery thus formed is short circuited by a conducting wire, current through the wire will be directly proportional to \( n \)
C. If \( n \) identical cells are connected in parallel and then the battery thus formed is short circuited by a wire having a constant resistance, current through the wire will be directly increase as n increases.
D. None of the above.
Subject: Chemistry
Energy of electron in first excited state
of \( H \) -atom is:
A. \( -13.12 \times 10^{5} \mathrm{J} / \mathrm{mol} \)
B. \( -3.28 \times 10^{5} \mathrm{J} / \mathrm{mol} \)
c. \( 13.12 \times 10^{3} J / \) mol
D. \( 3.28 \times 10^{2} J / \) mol
Subject: Physics
Four charges \( +\boldsymbol{Q},-\boldsymbol{Q},+\boldsymbol{Q},-\boldsymbol{Q} \) are
placed at the corners of a square taken order. At the centre of the square
A. \( E=0, V=0 \)
B. \( E=0, V \neq 0 \)
c. \( E \neq 0, V=0 \)
D. \( E \neq 0, V \neq 0 \)
Subject: Chemistry
Consider the isoelectronic species,
\( N a^{+}, M g^{2+}, F^{-} \) and \( O^{2-} . \) The correct
order of increasing length of their radii is:
A \( \cdot F^{-}<O^{2-}<M g^{2+}<N a^{+} \)
B. \( M g^{2+}<N a^{+}<F^{-}<O^{2} \)
C. \( O^{2-}<F^{-}<N a^{+}<M g^{2+} \)
D. \( O^{2-}<F^{-}<M g^{2+}<N a^{+} \)
Subject: Physics
An ultrasonic source emits sound of
frequency \( 220 k H z \) in air. If this sound
meets a water surface, what is the
wavelength of
(a) the reflected sound,
(b) the transmitted sound? (At the
atmospheric temperature, speed of
sound in air \( =352 m s^{-1} \) and in water
\( =1496 m s^{-1} \)
Subject: Chemistry
\( \boldsymbol{E} \boldsymbol{t} \boldsymbol{N} \boldsymbol{H}_{2}+ \)
\( M e M g I \frac{\text {Heated} \text { in high temp.}}{\text {in the presence of pyridine}} \)
\( \operatorname{Gas}(\boldsymbol{A}) \)

The volume of \( \operatorname{gas}(A) \) obtained at \( \mathrm{S.T.P} \)
when \( 0.45 g m \) of \( E t N H_{2} \) reacts with
MeMgI is:
\( \mathbf{A} \cdot 224 m l \)
в. \( 22.4 m l \)
c. \( 448 m l \)
D. \( 44.8 \mathrm{ml} \)
Subject: Physics
A particle moves in x-y under the action of the force \( \overrightarrow{\mathbf{F}} \) Such that \( \mathbf{x} \) and \( \mathbf{y} \)
components of linear momentum, \( \overrightarrow{\mathbf{P}} \) at any time \( t \) are 2 cos \( t \) and \( 2 \sin t . \) Find the angle between \( \overrightarrow{\mathbf{F}} \& \overrightarrow{\mathbf{P}} \) at a given time
\( A \cdot 60^{\circ} \)
B. 300
\( c \cdot 0^{0} \)
D. \( 90^{\circ} \)
Subject: Physics
A block of mass \( m \) is connected to
another block of mass \( M \) by a spring (massless) of spring constant \( k . \) The blocks are kept on a smooth horizontal plane. Initially, the blocks are at rest and the spring is unstretched. Then a constant force \( \boldsymbol{F} \) starts acting on the
block of mass \( M \) to pull it. Find the
force on the block of mass \( m \)
\( A \cdot \frac{m F}{M} \)
в. \( \frac{(M+m) F}{m} \)
c. \( \frac{m F}{(m+M)} \)
D. \( \frac{M F}{(m+M)} \)
Subject: Physics
A rope is wound around a hollow
cylinder of mass \( 3 k g \) and radius \( 40 c m \) What is the angular acceleration of the cylinder if the rope is pulled with a force
of \( 30 N ? \)
\( \mathbf{A} \cdot 5 m / s^{2} \)
B . \( 25 \mathrm{m} / \mathrm{s}^{2} \)
c. \( 0.25 \mathrm{rad} / \mathrm{s}^{2} \)
\( \mathbf{D} \cdot 25 \mathrm{rad} / \mathrm{s}^{2} \)
Subject: Chemistry
The bond dissociation energy of \( \boldsymbol{C}-\boldsymbol{H} \)
in \( C H_{4} \) from the equation
\( \boldsymbol{C}(\boldsymbol{g})+\boldsymbol{4} \boldsymbol{H}(\boldsymbol{g}) \rightarrow \boldsymbol{C} \boldsymbol{H}_{4}(\boldsymbol{g}) ; \boldsymbol{\Delta} \boldsymbol{H}= \)
\( -397.8 k c a l \) is:
\( \mathbf{A} \cdot+99.45 k c a l \)
B . - 99.45 k cal
c. \( +397.8 k c a l \)
D. \( +198.9 k c a l \)
Subject: Physics
If a simple pendulum of length \( L \) has maximum angular displacement \( \alpha \)
then the maximum kinetic energy of
bob of mass \( M \) is
\( \mathbf{A} \cdot \frac{1}{2} \frac{M L}{g} \)
в. \( \frac{M g}{2 L} \)
c. \( M g L(1-\cos \alpha) \)
D. \( \frac{M g L \sin \alpha}{2} \)
Subject: Maths
If \( \vec{a} \) and \( \vec{b} \) are unit vectors and \( \alpha \) is the
angle between them, then \( \vec{a}+\vec{b} \) is a
unit vector when \( \cos \alpha= \)
A \( \cdot-\frac{1}{2} \)
B. \( \frac{1}{2} \)
\( c \cdot-\frac{\sqrt{3}}{2} \)
D. \( \frac{\sqrt{3}}{2} \)
Subject: Biology
toppr
Q Type your question
finches with large, thick beaks survived
the drought as they subsisted on cactus, which are drought tolerant
plants.

In the early 1980 's, the Galapagos
Islands underwent an El Nino event that
led to higher annual levels of
precipitation than normal. This climate
event occurred just a few years after the
drought. The increase in rainfall led to a
dramatic increase in growth of seed-
producing plants, which led to an abundance of foods for seed-eating
finches, which have small, short beaks.
The increase in rainfall also decreased
the availability of cactuses on the islands. Which of the following would
you predict occurred in the finch population as a result of the second
change in climate?
A. The variety present in the finch population did not change due to changes in climate
B. The population of short-beaked finches increased while the population of large beaked birds decreased.
C. The large-beaked finches increased in number while the short-beaked finches decreased in number
D. The number of finches of each type both decreased due to the change in climate
E. The large-beaked finches hybridized with the shortbeaked finches.
Subject: Maths
The remainder when \( 4 a^{3}-12 a^{2}+ \)
\( 14 a-3 \) is divided by \( 2 a-1, \) is
A \( \cdot \frac{2}{3} \)
в. \( \frac{5}{3} \)
\( c \cdot \frac{6}{7} \)
D. \( \frac{3}{2} \)
Subject: Maths
Find the cube root of each of the
following numbers by prime Factorization method:
(i) 729
(ii) 343
(iii) \( 512(\text { iv ) } 0.064 \)
\( \mathbf{0 . 2 1 6} \)
\( (v i) 5 \frac{23}{64}(v i i)-1.331(v i i i) \)
-27000
Subject: Physics
A stone is thrown upwards with a
velocity \( v \) from the top of a tower. It
reaches the ground with a velocity \( 3 v \) What is the height of the tower?
A \( \cdot \frac{2 v^{2}}{g} \)
B. \( \frac{3 v^{2}}{g} \)
c. \( \frac{4 v^{2}}{g} \)
D. \( \frac{6 v^{2}}{g} \)
Subject: Chemistry
Which of the following species is/are
formed when conc. \( H N O_{3} \) is added to
conc. sulphuric acid?
This question has multiple correct options
A \( \cdot N O_{3} \)
B. \( N O_{2}^{+} \)
c. \( N O^{+} \)
D. \( H S O_{4} \)
Subject: Chemistry
A solution is \( 0.1 \mathrm{M} \) with respect to
\( A g^{+}, C a^{2+}, M g^{2+} \) and \( A l^{3+} \) which will precipitate at lowest concentration of \( \left[\boldsymbol{P} \boldsymbol{O}_{4}^{3-}\right] \) when solution of \( \boldsymbol{N} \boldsymbol{a}_{3} \boldsymbol{P} \boldsymbol{O}_{4} \) is
added?
A \( \cdot A g_{3} P O_{4}\left(K_{s p}=1 \times 10^{-6}\right) \)
B. \( C a_{3}\left(P O_{4}\right)_{2}\left(K_{s p}=1 \times 10^{-33}\right) \)
C. \( M g_{3}\left(P O_{4}\right)_{2}\left(K_{s p}=1 \times 10^{-24}\right) \)
D. \( A l P O_{4}\left(K_{s p}=1 \times 10^{-20}\right) \)
Subject: Physics
Q Type your question
radius of the semicircle is \( r . \) The speed
of sound in air is \( v \). The source of sound
is capable of generating frequencies in
the range \( f_{1} \) to \( f_{2}\left(f_{2}>f_{1}\right) . \) If \( n \) is an
integer, frequency for maximum intensity is given by :
A \( \cdot \frac{n v}{r} \)
B. \( \frac{n v}{r(\pi-2)} \)
c. \( \frac{n v}{\pi r} \)
D. \( \frac{n v}{(r-2) \pi} \)
Subject: Physics
Assertion
10 decades make a century.
Reason
century makes 100 years and 1 decade
make 10 years.
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
Consider the following changes:
\( \boldsymbol{A} \rightarrow \boldsymbol{A}^{+}+\boldsymbol{e}^{-}: \boldsymbol{E}_{1} \) and \( \boldsymbol{A}^{+} \rightarrow \boldsymbol{A}^{2+}+ \)
\( e^{-}: E_{2} \)
The energy required to pull out the two
electrons are \( E_{1} \) and \( E_{2} \) respectively. The correct relationship between two energies would be:
A \( \cdot E_{1}<E_{2} \)
B \( . E_{1}=E_{2} \)
c. \( E_{1}>E_{2} \)
D. \( E_{1} \neq E_{2} \)
Subject: Physics
A parallel plate capacitor of capacitance \( C \) is connected to a battery and is charged to a potential difference
V. Another capacitor of capacitance \( 2 C \) is similarly charged to a potential difference 2V. The charging battery is now disconnected and the capacitors are connected in parallel to each other in such a way that the positive terminal of one is connected to the negative terminal of the other. The final energy of the configuration is :
A . zero
в. \( \frac{3}{2} C V^{2} \)
c. \( \frac{25}{6} C V^{2} \)
D. \( \frac{9}{2} C V^{2} \)
Subject: Maths
Let \( A B C \) be a triangle with \( A B=A C \)
and \( D \) is mid-point of \( B C, E \) is the foot of perpendicular drawn from \( D \) to \( A C \) and \( F \) the mid point of \( D E . \) Angle
between the line \( A F \) and \( B E \) is \( \theta \). Then
the value of \( 4 \sin \theta \) is
A .4
B. 3
c. \( \frac{3}{2} \)
D. \( \frac{4}{3} \)
Subject: Maths
For 3 events \( A, B \) and \( C, P( \) exactly one of the events \( A \text { or } B \text { occurs })=P( \) exactly one of the events \( \mathrm{B} \text { or } \mathrm{C} \text { occurs })=\mathrm{P}( \) exactly one of the events \( C \text { or } A \text { occurs })=p \& P \) (all the three events occurs
simultaneously) \( =p^{2} . \) Where \( o<p<\frac{1}{2} \)
then the probability of at lest one of
three events, \( A, B \& C \) occurring is
A \( \cdot \frac{3 p+2 p^{2}}{2} \)
B. \( \frac{p+2 p^{2}}{2} \)
c. \( \frac{3 p+p^{2}}{2} \)
D. \( \frac{3 p+2 p^{2}}{4} \)
Subject: Maths
Find the term which has the exponent of \( x \) as 8 in the expansion of
\( \left(x^{\frac{5}{2}}-\frac{3}{x^{3} \sqrt{x}}\right)^{10} \)
\( \mathbf{A} \cdot T_{2} \)
В. \( T_{3} \)
c. \( T_{4} \)
D. Does not exist
Subject: Maths
If \( n-1 C_{6}+^{n-1} C_{7}>^{n} C_{6}, \) then?
\( \mathbf{A} \cdot n>4 \)
B \( . n>12 \)
\( \mathbf{C} \cdot n \geq 13 \)
D. \( n>13 \)
Subject: Maths
\( l, m, n \) are parallel lines. If \( p \) intersects
them at \( A, B, C \) and \( q \) at \( D, E, F, \) then
A. \( A B=D E \) and \( B C=E F \) always
B. At least one of the pairs \( A B, D E \) and \( B C, E F \) are necessarily equal
c. At least one of the pairs \( A B, B C \) and \( D E, E F \) are necessarily equal
D. \( \frac{A B}{B C}=\frac{D E}{E F} \)
Subject: Maths
For the matrices \( A \) and \( B \), verify that
\( (A B)^{\prime}=B^{\prime} A^{\prime} \) where
(i) \( \boldsymbol{A}=\left[\begin{array}{c}\mathbf{1} \\ -\mathbf{4} \\ \mathbf{3}\end{array}\right], \boldsymbol{B}=\left[\begin{array}{lll}-\mathbf{1} & \mathbf{2} & \mathbf{1}\end{array}\right] \)
(ii) \( \boldsymbol{A}=\left[\begin{array}{l}\mathbf{0} \\ \mathbf{1} \\ \mathbf{2}\end{array}\right], \boldsymbol{B}=\left[\begin{array}{lll}\mathbf{1} & \mathbf{5} & \mathbf{7}\end{array}\right] \)
Subject: Maths
Let \( \vec{u}, \vec{v}, \vec{w} \) be such that \( |\vec{u}|=1,|\vec{v}|= \)
\( \mathbf{2},|\overrightarrow{\boldsymbol{w}}|=\mathbf{3} . \) If the projection of \( \overrightarrow{\boldsymbol{v}} \) along \( \overrightarrow{\boldsymbol{u}} \)
is equal to that of \( \vec{w} \) along \( \vec{u} \) and \( \vec{v}, \vec{w} \) are perpendicular to each other then \( |\vec{u}-\vec{v}+\vec{w}| \) equals
A. \( \sqrt{14} \)
B. \( \sqrt{7} \)
\( c \cdot 2 \)
D. 14
Subject: Physics
Find the elastic deformation energy (in
J) of a steel rod whose one end is fixed
and the other is twisted through an
angle \( \varphi=6.0^{\circ} . \) The length of the rod is
equal to \( l=1.0 m, \) and the radius to
\( \boldsymbol{r}=\mathbf{1 0} \boldsymbol{m m} \cdot(\mathrm{G}=77.2 \mathrm{GPa}) \)
Subject: Maths
Three coins are tossed simultaneously:
\( P \) is the event of getting at least two
heads.
\( Q \) is the event of getting no heads.
\( R \) is the event of getting heads on second coin. Which of the following pairs is mutually exclusive?
This question has multiple correct options
A. \( Q, R \)
в. \( Q, P \)
c. \( P, R \)
D. None of these
Subject: Physics
A body of mass \( m \) is lifted up from the
surface of earth to a height three times the radius of the earth \( R \) The change in
potential energy of the body is
A. \( 3 m g R \)
в. \( \frac{5}{4} \) mg \( R \)
c. \( \frac{3}{4} m g R \)
D. \( 2 m g R \)
Subject: Chemistry
A solution is obtained by mixing \( 200 g \) of \( 30 \% \) and \( 300 g \) of \( 20 \% \) solution by weight What is the percentage of solute in the
final solution?
A . \( 50 \% \)
B . 28\%
c. \( 64 \% \)
D. 24\%
Subject: Maths
The D.E whose solution is \( y=a e^{2 x}+ \)
\( \boldsymbol{b} \boldsymbol{e}^{\boldsymbol{3} \boldsymbol{x}} \boldsymbol{\text { is: }} \)
A \( \cdot y_{2}+5 y_{1}+6 y=0 \)
в. \( y_{2}-5 y_{1}-6 y=0 \)
c. \( y_{2}+5 y_{1}-6 y=0 \)
D. \( y_{2}-5 y_{1}+6 y=0 \)
Subject: Physics
\( S_{1} \) and \( S_{2} \) are two equipotential
surfaces on which the potentials are not equal. Then-
This question has multiple correct options
A. \( S_{1} \) and \( S_{2} \) both cannot intersect.
B. \( S_{1} \) and \( S_{2} \) both cannot be plane surfaces.
c. In the region between \( S_{1} \) and \( S_{2} \), the field is maximumm where they are closed to each other
D. A line of force from \( S_{1} \) and \( S_{2} \) must be perpendicular to both
Subject: Chemistry
Calculate \( \boldsymbol{E}^{\circ} \) values of the following
reactions.
\[
\mathbf{2} \boldsymbol{A} \boldsymbol{g}+\boldsymbol{Z} \boldsymbol{n}^{2+} \rightarrow \boldsymbol{2} \boldsymbol{A} \boldsymbol{g}^{+}+\boldsymbol{Z} \boldsymbol{n}
\]
Given that: \( \boldsymbol{E}_{\boldsymbol{A} \boldsymbol{g}^{+} / A \boldsymbol{g}}^{\circ}= \)
\[
\mathbf{0 . 8 0 V}, \boldsymbol{E}_{\mathbf{Z n}^{2+} / \mathbf{Z n}}^{\circ}=\mathbf{- 0 . 7 6 V}
\]
A. \( -1.10 V \)
B. \( 1.10 V \)
c. \( -1.56 V \)
D. \( 1.56 V \)
Subject: Chemistry
\( \boldsymbol{C H} \equiv \boldsymbol{C H} \frac{N \boldsymbol{H}_{4} O \boldsymbol{H}}{C u_{2} C l_{2}} \)
Product is-
A. \( C u-C \equiv C-C u \)
в. \( C H_{2}=C H-C \equiv C H \)
c. \( C H \equiv C-C u \)
D. \( C u-C \equiv C-N H_{4} \)
Subject: Maths
If \( \vec{a} \) and \( \vec{b} \) are unit vectors such that \( \vec{a}+3 \vec{b} \) is perpendicular to \( 7 \vec{a}-5 \vec{b} \) and \( \vec{a}-4 \vec{b} \) is perpendicular to \( 7 \vec{a}-2 \vec{b} \) then
the angle between \( \vec{a} \) and \( \vec{b} \) is
A \( \cdot \frac{\pi}{6} \)
B.
\( c \cdot \frac{\pi}{2} \)
D. \( \frac{\pi}{3} \)
Subject: Chemistry
The order not in accordance with the
property mentioned is ?
\( \mathbf{A} \cdot L i<N a<K<R b- \) atomic radius
B \( . F>N>O>C \) - ionisation enthalpy
c. \( S i<P<S<C l \) - electronegativity
D. \( F<C l<B r<I \) - electronegativity
Subject: Physics
An LC circuit initially oscillates with frequency 'f' and the maximum current
in the circuit is \( i_{\max } . \) If the total energy
of the circuit is increased to twice of its
initial value, then
This question has multiple correct options
A. the period of oscillation will become double its initial value
B. the maximum charge on the capacitor will become \( \sqrt{2} \) times its initial value
C. the maximum current that will appear in the circuit will be \( \sqrt{2} \) times its initial value \( i_{\max } \)
D. at the moment energy stored in capacitor and inductor becomes equal, the charge on the capacitor will be equal to the initial maximum charge on it.
Subject: Physics
The diagram below shows two
transparent materials-material G and
material P. The black path is the path of
a light ray through the materials.
Which of the following statement is
true?
A. The sine of the angle that the light ray makes with the normal in substance G is greater than the sine of the angle that the light ray makes with the normal in substance P
B. Light travels more slowly in material P than it does in material G
C. Material G must be air of vacuum
D. Material P must be air or a vacuum
E. The index of refraction of substance \( P \) is less than the
index of refraction of substance
Subject: Maths
\( \boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{l}2 \boldsymbol{a}-\boldsymbol{x}, \text { for }-\boldsymbol{a}<\boldsymbol{x}<\boldsymbol{a} \\ \mathbf{3} \boldsymbol{x}-\mathbf{2} \boldsymbol{a}, \text { for } \boldsymbol{x} \geq \boldsymbol{a}\end{array}\right. \)
Then which of the following is true?
A. \( f(x) \) is discontinuous at \( x=a \)
B. \( f(x) \) is not differentiable at \( x=a \)
C. \( f(x) \) is differentiable at all \( x \geq a \)
D. \( f(x) \) is continuous at all \( x<a \)
Subject: Chemistry
For the reaction, \( A \rightleftharpoons n B \) the
concentration of A decreases from 0.06
to 0.03 mol \( L^{-1} \) and that of \( \mathrm{B} \) rises from
0 to 0.06 mol \( L^{-1} \) at equilibrium. The
values of \( n \) and the equilibrium constant for the reaction, respectively,
are:
\( A \cdot 2 \) and 0.12
B. 2 and 1.2
c. 3 and 0.12
D. 3 and 1.2
Subject: Chemistry
When a solution of 500 m \( L \) of \( 2 M \)
\( K O H \) is added to \( 500 m L \) of \( 2 M H C l \)
then the rise temperature \( T_{1} \) is noted. When the same experiment is repeated by mixing \( 250 m L \) of each solution, the
rise in temperature \( T_{2} \) is noted :
A \( \cdot T_{1}=T_{2} \)
В. \( T_{1}=2 T_{2} \)
\( \mathbf{c} \cdot T_{2}=2 T_{1} \)
D. \( T_{1}=4 T_{2} \)