AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Biology
Assertion
Glycolysis is the first step of respiration in which glucose completely breaks into \( C O_{2} \) and \( H_{2} O \)
Reason
In this process, there is net gain of twenty four molecules of ATP.
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
In acidic solution, \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \) oxidises \( \boldsymbol{H} \boldsymbol{g} \) to:
A. \( H g_{2} O \)
в. \( \mathrm{HgSO}_{4} \)
c. Нg S
D. \( H g O \)
Subject: Chemistry
When a certain metal is irradiated with
a radiation of frequency \( 3.2 \times 10^{16} S^{-1} \) the photo electrons emitted had twice the kinetic energy as did the phototelectrons emitted when the same
metal was irradiated with radiation of
frequency \( 2 \times 10^{16} S^{-1} . \) Calculate
threshold frequency of metal.
Subject: Maths
If \( \boldsymbol{A}(\cos \boldsymbol{\alpha}, \sin \boldsymbol{\alpha}, \boldsymbol{0}), \boldsymbol{B}(\cos \boldsymbol{\beta}, \sin \beta, \boldsymbol{0}) \)
\( C(\cos \gamma, \sin \gamma, 0) \) are vertices of \( \Delta A B C \)
and let
\[
\begin{array}{l}
\cos \alpha+\cos \beta+\cos \gamma=3 a, \sin \alpha+ \\
\sin \beta+\sin \gamma=3 b, \text { then correct }
\end{array}
\]
matching of the following is:
List:1
\begin{tabular}{ll} 
A. Circumcentre & \( 1 .(3 a, 3 b, 0) \) \\
\cline { 0 }
\end{tabular}
B. Centroid
\[
2 .(0,0,0)
\]
c. Ortho centre
\[
3 .(a, b, 0)
\]
A . 432
в. 231
c. 123
D. 234
Subject: Physics
Assertion
Although the surfaces of goggle lenses are curved, it does not have any power
Reason
In case of goggle, both the curved surfaces have equal radii of curvature and have center of curvature on the
same side
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 particle is falling freely under gravity from rest. In first \( t \) second it covers
distance \( x_{1} \) and in the next \( t \) second it
covers distance \( x_{2}, \) then \( t \) is given by:
A. \( \sqrt{\frac{x_{2}-x_{1}}{g}} \)
в. \( \sqrt{\frac{x_{2}+x_{1}}{2 g}} \)
c. \( \sqrt{\frac{\left(x_{2}-x_{1}\right)}{2 g}} \)
D. \( \sqrt{\frac{\left(x_{2}+x_{1}\right)}{g}} \)
Subject: Maths
If the largest angle of a triangle is twice the sum of the other two and the
smallest one is one-fourth of the
largest, then the angles are:
\( \begin{array}{l}\text { A } \cdot 120^{\circ}, 40^{\circ}, 20^{\circ} \\ ^{\circ}\end{array}, 12^{\circ}, 10^{\circ}, 1^{\circ} \)
в. \( 120^{\circ}, 30^{\circ}, 30^{\circ} \)
c. \( 90^{\circ}, 45^{\circ}, 45^{\circ} \)
D. \( 90^{\circ}, 60^{\circ}, 30^{\circ} \)
Subject: Physics
Assertion
It is not possible to use \( ^{35} C l \) as the fuel
for fusion energy.
Reason
The binding energy of \( 35 C l \) is too small.
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
Which is the decreasing order of
stability?
(i) \( \boldsymbol{C H}_{3}-\boldsymbol{C H}-\boldsymbol{C H}_{3} \)
(ii) \( \boldsymbol{C H}_{3}-\boldsymbol{C H}-\boldsymbol{O}-\boldsymbol{C H}_{3} \)
(iii) \( \boldsymbol{C H}_{3}-\boldsymbol{C H}-\boldsymbol{C O}-\boldsymbol{C H}_{3} \)
\( A . \) (i) \( < \) (ii) < (iii)
B. (ii)>(i)> (iii)
\( c \cdot(\text { iii) }>(\text { ii) }>(i) \)
D. (ii) > (iii) > (i)
Subject: Physics
A box of mass \( 8 \mathrm{kg} \) is placed on a rough
inclined plane of inclined \( \theta \). Its downward motion can be prevented by applying an upward pully \( F \) and it can be made to slide upwards by applying a force \( 2 \mathrm{F} \). The coefficient of friction
between the box and the inclined plane
is
\( \mathbf{A} \cdot(\tan \theta) / 3 \)
B. \( \tan \theta \)
\( \mathbf{c} \cdot(\tan \theta) / 2 \)
D. \( 2 \tan \theta \)
Subject: Biology
Assertion
Reptiles and amphibians show
metachrosis.
Reason
They have neurohormones in their skin.
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 metal cube of side length \( 8.0 \mathrm{cm} \) has its upper surface displaced with
respect to the bottom by \( 0.10 \mathrm{mm} \) when a tangential force of \( 4 \times N \) is applied at the top with bottom surface fixed. The
rigidity modulus of the material of the
cube is
A \( \cdot 4 \times 10^{14} N / m^{2} \)
B . \( 5 \times 10^{9} \mathrm{N} / \mathrm{m}^{2} \)
c. \( 8 \times 10^{14} \mathrm{N} / \mathrm{m}^{2} \)
D. \( 1 \times 10^{14} \mathrm{N} / \mathrm{m}^{2} \)
Subject: Physics
An ideal choke takes a current of \( 8 A \)
when connected to an a.c source of 100
volt and 50 Hz. A pure resistance under
the same conditions takes a current of
10A. If two are connected in series to an
a.c. Supply of \( 150 \mathrm{V} \) and \( 40 \mathrm{Hz} \), then the current in the series combination of
above resistor and conductor is:
Subject: Chemistry
Boric acid on heating at \( 100^{\circ} \mathrm{C} \) gives:
\( \mathbf{A} \cdot B_{2} O_{3} \)
в. \( H_{2} B_{4} O_{7} \)
c. \( H B O_{2} \)
D. \( H_{2} B O_{3} \)
Subject: Chemistry
Which of the following is/are incorrect for Humphrey lines of hydrogen spectrum? This question has multiple correct options
A \( \cdot n_{2}=7 \rightarrow n_{1}=2 \)
В \( \cdot n_{2}=10 \rightarrow n_{1}=6 \)
c. \( n_{2}=5 \rightarrow n_{1}=1 \)
D \( \cdot n_{2}=11 \rightarrow n_{1}=3 \)
Subject: Maths
Obtain the product of \( 2,4 y, 8 y^{2}, 16 y^{3} \)
A \( \cdot 1045 y^{5} \)
В. \( 1024 y^{6} \)
c. \( 1634 y^{3} \)
D. \( 102 y^{5} \)
Subject: Maths
Which of the following is INCORRECT?
\( \mathbf{A} \cdot p(x)=5 x+5, \) degree \( =1 \)
B \( \cdot p(x)=4 x^{4}+4, \) degree \( =4 \)
\( \mathbf{C} \cdot p(x)=x^{8}, \) degree \( =8 \)
D \( . p(x)=9, \) degree \( =9 \)
Subject: Physics
A battery of emf \( 10 \mathrm{v} \) and internal resistance of 0.5 ohms is connected
across \( A \) variable resistance R.The
maximum value of \( \mathrm{R} \) is given by:
A . \( 0.5 \Omega \)
B. \( 1.00 \Omega \)
c. \( 2.0 \Omega \)
D. \( 0.25 \Omega \)
Subject: Physics
A ball of mass \( 200 g \) is thrown with a
speed \( 20 m s^{-1} \). The ball strikes a bat
and rebounds along the same line at a
speed \( 40 m s^{-1} \) Variation of the
interaction force, as long as the ball remains in contact with the bat, is as
shown in Fig. Average force exerted by
the bat on the ball is:
\( .5000 N \)
\( N \)
в. 2000N
\begin{tabular}{l}
\( c .2500 N \) \\
\hline
\end{tabular}
D. \( 6000 N \)
Subject: Physics
The angular frequency of a spring block system is \( \omega_{0} \) This system is suspended from the ceiling of anelevator moving
downwards with a constant speed \( v_{0} \)
The block is at rest relative to the
elevator. Lift issuddenly stopped. Assuming the downwards as a positive direction, choose the wrong statement:
A \( \cdot \) The amplitude of the block is \( \frac{v_{0}}{\omega_{0}} \)
B. The initial phase of the block is \( \pi \)
C . The equation of motion for the block is \( \frac{v_{0}}{\omega_{0}} \sin \omega_{0} \mathrm{t} \)
D. The maximum speed of the block is \( v_{0} \)
Subject: Maths
The number of continuous and
derivable function(s) \( f(x) \) such that
\( f(1)=-1, f(4)=7 \) and \( f(x)>3 \) for
all \( \boldsymbol{x} \in \boldsymbol{R} \) is/are
\( \mathbf{A} \cdot \mathbf{0} \)
B.
\( c \cdot 2 \)
D. infinite
Subject: Maths
The solution of \( \frac{d y}{d x}+y \tan x=\cos ^{2} x \) is:
A \( \cdot y \sec ^{2} x=c+\sin x \)
B. \( y \sec x=c+\cos x \)
c. \( y \sec ^{2} x=c+\cos x \)
D. \( y \sec x=c+\sin x \)
Subject: Biology
The diagram given below is a representation of a certain phenomenon pertaining to the nervous system. Study the diagram and answer the following questions.
(i) Name the phenomenon that is being depicted.
(ii) Give the technical term for the point
of contact between the two nerve cells.
(iii) Name the parts 1,2,3 and 4
(iv) Write the functions of parts 5 and 6
(v) How does the arrangement of neurons in the spinal cord differ from
that of the brain?
Subject: Chemistry
toppr
Q Type your question.
\( \boldsymbol{H}_{2} \boldsymbol{O}_{2(l)} \rightarrow \boldsymbol{H}_{2} \boldsymbol{O}_{(l)}+\frac{1}{2} \boldsymbol{O}_{2(g)} ; \boldsymbol{\Delta}_{r} \boldsymbol{G}^{o}= \)
\( -122.6 k J / m o l \)
As the reaction from left to right is accompanied by a decrease in free
energy, it is a spontaneous process.
However, its decomposition at \( 25^{\circ} \mathrm{C} \) in
the absence of catalysts is slow. The
catalysts which accelerate
decomposition are \( \mathrm{Pt}, \) Ag, cobalt, iron,
copper, manganese dioxide and light.
Concentrated \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \) solution can result
into uncontrolled decompositions
leading to explosion. \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \) thus stored
in colored wax-lined bottles (as rough
glass surfaces) also causes its decomposition. A few stabilizers such
as acids acetanilide, pyrophosphates,
and stannates are added to slow down
the decomposition of \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \)
\( H_{2} O_{2} \) is stored in colored wax-lined
bottles because:
A. it is radioactive
B. it produced uncontrolled decompositions leading to explosion
C. it is non-polar molecule
D. none of these
Subject: Chemistry
In which of the following acids, \( \boldsymbol{P}-\boldsymbol{P} \)
bonds is present?
A. Tetrapolyphosphoric acid \( \left(H_{6} P_{4} O_{13}\right) \)
B. Pyrophosphoric acid \( \left(H_{4} P_{2} O_{6}\right) \)
C. Hypophosphoric acid \( \left(H_{4} P_{2} O_{6}\right) \)
D. Polymetaphosphoric acid \( \left(H P O_{3}\right)_{n} \)
Subject: Maths
In the given figure
\[
\angle Q R N=40^{\circ}, \angle P Q R=46^{\circ} \text { and } M N
\]
is a tangent at \( R \). What is the value
\( (\text {in degrees}) \)of \( \mathbf{x}, \) y and z respectively?
\( M \)
\[
\frac{y_{z}}{R} 40^{46^{\circ}}
\]
Subject: Biology
Read the following statement (A-E) and
answer the question which follows them.
(A) In liverworts, mosses, and ferns,
gametophytes are free-living
(B) Gymnosperms and some ferns are heterosporous.
(C) Sexual reproduction in Fucus, Volvox, and Albugo is oogamous.
(D) The sporophyte in liverworts is more elaborate than that in mosses.
(E) Both, Pinus and Marchantia are
dioecious.
How many of the above statements are
correct?
A. Two
B. Three
c. Four
D. one
Subject: Chemistry
(a) Write the products of the following reactions:
(ii) \( 2 C_{6} H_{5} C H O+ \) Conc.NaOH\( \longrightarrow \)
(iii) \( C H_{3} C O O H \quad C l_{2} / P \)
(b) Give simple chemical tests to distinguish between the following pairs of compounds:
(i) Benzaldehyde and benzoic acid
(ii) Propanal and propanone
Subject: Chemistry
Which of the following molecules represents the order of hybridisation
\( s p^{2}, s p^{2}, s p, s p \) from left to right carbon
atoms?
A \( \cdot C H_{2}=C H-C H=C H_{2} \)
в. \( H C=C-C \equiv C H \)
c. \( C H_{3}-C H=C H-C H_{3} \)
D. \( C H_{2}=C H-C \equiv C H \)
Subject: Maths
Let \( f \) be a linear function for which
\( \boldsymbol{f}(\boldsymbol{6})-\boldsymbol{f}(2)=12 . \) The value of \( \boldsymbol{f}(\mathbf{1 2})- \)
\( f(2) \) is equal the
A . 12
B . 18
\( c \cdot 24 \)
D. 30
Subject: Physics
If energy (E), force (F) and linear
momentum (P) are fundamental
quantities, then match the following
and give correct answer.
\( \mathbf{A} \) B
Physical quantity Dimensional formula
Mass \( E^{0} F^{-1} p^{1} \)
a)
d)
b) Length
e) \( E^{-1} F^{0} p^{2} \)
Time \( E^{1} F^{-1} p^{0} \)
c)
f) \( r \) 1 an
\( A \cdot a-d, b-e, c-f \)
B. a-f, b-e, c-d
\( \mathbf{C} \cdot a-e, b-f, c-d \)
D. a-e, b-d, c-f
Subject: Chemistry
Which of the following is not the correct
difference between I yophobic and
Iyophilic sols?
A. (Lyophobic sols) Require special methods for preparation (Lyophilic sols) Can be prepared by shaking with the solvent
B. (Lyophobic sols)Are reversible (Lyophilic sols) Are irreversible
C. (Lyophobic sols) Easily coagulated by electrolytes (Lyophilic sols)Cannot be easily coagulated
D. (Lyophobic sols) Are less stable (Lyophilic sols) Are more stable
Subject: Maths
Let \( (a-b \cos y)(a+b \cos x)=a^{2}-b^{2} \)
and \( \frac{d y}{d x}=\frac{\sin x f(y))}{(a+b \cos x)^{2}} \cdot \) If \( a^{2}-b^{2}= \)
\( 192, \) then \( f(\pi / 2) \)
Subject: Physics
A potential barrier of \( 0.5 \mathrm{V} \) exists across a p-njunction
(i) If the depletion region
is \( 5 \times 10^{-7} \) m wide. What is the average
intensity of the eectric field in this
region?
(ii) An electron with speed \( 5 \times \)
\( 10^{5} \mathrm{m} / \mathrm{s} \) approaches the \( \mathrm{p} \) -n junction
from the n-side with what speed will it enter the p-side?
Subject: Maths
If \( \boldsymbol{A}=\operatorname{diag}(\mathbf{2}-\mathbf{5} \mathbf{9}), \boldsymbol{B}=\operatorname{diag}(\mathbf{1} \mathbf{1}- \)
4) and \( C=\operatorname{diag}(-634), \) then find \( A \)
\( 2 B \)
Subject: Chemistry
Which of the following statement is correct about an aqueous solution of an acid and a base?
(i) Higher the pH, stronger the acid.
(ii) Higher the pH, weaker the acid.
(iii) Lower the pH, stronger the base.
(iv) lower the pH, weaker the base.
\( A \cdot \) (i) and (iii)
B. (ii) and (iii)
c. (i) and (iv)
D. (ii) and (iv)
Subject: Maths
f \( \boldsymbol{y}=\boldsymbol{a} \cos (\log \boldsymbol{x})-\boldsymbol{b} \sin (\log \boldsymbol{x}), \) then
the value of \( x^{2} \frac{d^{2} y}{d x^{2}}+x \frac{d y}{d x}+y \) is
\( \mathbf{A} \cdot \mathbf{0} \)
B. 1
c. 2
D. 3
Subject: Maths
7 boys and 8 girls have to sit in a row on
15 chairs numbered from 1 to 15 then?
A. Number of ways boys and girls sit alternately is \( 8 ! 7 ! \)
B. Number of ways boys and girls sit alternately is \( 2(8 ! 7 !) \)
C. The number of ways in which first and fifteenth chair are occupied by boys and between any two boys an even number of girls sit is \( ^{9} C_{4} 8 ! 7 ! \)
D. The number of ways in which first and last seat are occupied by boys and between any two boys an even number of girls sit is \( \left(2^{9} C_{4} 8 ! 7 !\right) \)
Subject: Physics
If incident ray CA and reflected ray BD
are parallel to each other. Find the angle
of inclination between the mirrors.
A \( \cdot i_{1}+i_{2}=\theta \)
B. \( i_{1}+i_{2}=\frac{1}{2} \theta \)
\( \mathbf{c} \cdot i_{1}+i_{2}=2 \theta \)
\( D \cdot \) none
Subject: Chemistry
In the reaction \( \boldsymbol{F e}(\boldsymbol{O} \boldsymbol{H})_{3}, \boldsymbol{F} \boldsymbol{e}_{\boldsymbol{a} \boldsymbol{q}}^{3+}+ \)
\( 3 O H_{a q}^{-}, \) if the concentration of \( O H^{-} \) is decreased by \( \frac{1}{4} \) times then the equilibrium concentration of \( \boldsymbol{F} \boldsymbol{e}^{\mathbf{3}+} \)
increased by how many times??
Subject: Physics
A particle executing simple harmonic motion completes
1200 oscillations per minute and
passes through the mean position with a velocity of 3.14 ms\( ^{-1} \). Determine the
maximum displacement of the particle
from its mean position. Also obtain the
displacement equation of the particle if it particle if its displacement be zero at the instant \( \boldsymbol{t}=\mathbf{0} \)
Subject: Chemistry
For the galvanic cell, \( \boldsymbol{C u}\left|\boldsymbol{C u}^{2+} \| \boldsymbol{A} \boldsymbol{g}^{+}\right| \boldsymbol{A} \boldsymbol{g} \)
Which of the following observations is
not correct?
A. Cu acts as anode and Ag acts as cathode
B. Ag electrode loses mass and Cu electrode gains mass
C. Reaction at anode, \( C u \rightarrow C u^{2+}+2 e^{-} \)
D. copper is more reactive than silver
Subject: Chemistry
The temperature at which \( R M S \)
velocity of \( \boldsymbol{O}_{2} \) is equal to the \( \boldsymbol{R} \boldsymbol{M} \boldsymbol{S} \)
velocity of \( S O_{2} \) at \( 327^{\circ} C \) is:
A. \( 273 K \)
в. \( 300 K \)
\( \mathbf{c} \cdot 100^{0} C \)
D. \( 1200 K \)
Subject: Maths
If \( A B C D \) is a rectangle, \( E, F \) are the
mid-points of \( B C \) and \( A D \) respectively and \( G \) is any point on \( E F, \) then \( \triangle G A B \) equals.
\( ^{\mathbf{A}} \cdot \frac{1}{2}(\square A B C D) \)
в. \( \frac{1}{3}(\square A B C D) \)
c \( \cdot \frac{1}{4}(\square A B C D) \)
D \( \cdot \frac{1}{6}(\square A B C D) \)
Subject: Physics
Pick out the wrong statement.
A. Gauss's law of magnetism is given by \( \alpha \phi B . d s=0 \)
B. An EM wave is a wave radiated by a charge at rest and propagates through electric field only
C. A time varying electric field is a source of changing magnetic field
D. Faraday's law of EM induction is \( \phi E . d I=-\frac{d \phi_{B}}{d t} \)
Subject: Maths
\[
\operatorname{ftg}\left[\begin{array}{ccc}
3 & 2 & -1 \\
2 & -2 & 0 \\
1 & 3 & 1
\end{array}\right], B\left[\begin{array}{ccc}
-3 & -1 & 0 \\
2 & 1 & 3 \\
4 & -1 & 2
\end{array}\right]
\]
and \( X=A+B \) then find \( X \)
Subject: Maths
Equation of normal drawn to the graph of the function defined as \( f(x)=\frac{\sin x^{2}}{x} \)
\( \boldsymbol{x} \neq \mathbf{0} \) and \( \boldsymbol{f}(\mathbf{0})=\mathbf{0} \) at the origin is?
A. \( x+y=0 \)
в. \( x-y=0 \)
c. \( y=0 \)
D. \( x=0 \)
Subject: Physics
A smooth wire is bent into a vertical
circle of radius \( a \). A bead \( P \) can slide
smoothly on the wire. The circle is
rotated about vertical diameter \( A B \) as
axis with a constant speed as shown in
figure. The bead \( P \) is at rest w.r.t the
wire in the position shown. Then \( \omega^{2} \) is
equal to:
Subject: Maths
post a letter to my friend and do not receive a reply. It is known that one letter out of \( m \) letters do not reach its
destination. If it is certain that my friend will reply if he receives the letter If \( A \) denotes the event that my friend receives the letter and \( B \) that I get a
reply, then This question has multiple correct options
A \( \cdot P(B)=(1-1 / m)^{2} \)
B . \( P(A \cap B)=(1-1 / m)^{2} \)
c. \( P\left(A \mid B^{\prime}\right)=(m-1) /(2 m-1) \)
D. \( P(A \cup B)=(m-1) / m \)
Subject: Maths
The area of the region, enclosed by the circle \( x^{2}+y^{2}=2 \) which is not common
to the region bounded by the parabola \( y^{2}=x \) and the straight line \( y=x, \) is:
A \( \cdot \frac{1}{3}(15 \pi-1) \)
в. \( \frac{1}{6}(24 \pi-1) \)
c. \( \frac{1}{6}(12 \pi-1) \)
D. \( \frac{1}{3}(6 \pi-1) \)
Subject: Physics
A power transformer (step-up) with an 1: 8 turn ratio has \( 60 H z, 120 V \) across
the primary; the load in the secondary is
\( 10^{4} \Omega . \) The current in the secondary is
\( \mathbf{A} \cdot 96 A \)
B . \( 0.96 A \)
\( c .9 .6 A \)
D. \( 96 m A \)
Subject: Chemistry
Assertion
At high temperatures the sodium sulphate or potasium sulphate formed, forms a crust and sticks to the glass
apparatus.
Reason
The non volatile residue of the metal
sulphate remains in the vessel. The
dissolved nitrogen oxides are removed at reduced pressure to give fuming nitric acid.
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
If due to air drag, the orbital radius of the earth decreases from \( \boldsymbol{R} \) to \( \boldsymbol{R}-\boldsymbol{\Delta} \boldsymbol{R} \)
\( \Delta R<<R, \) the work done by air friction
force \( W \) is
\( ^{\mathbf{A}} \cdot_{-} \frac{G M m}{R^{2}} \times \Delta R \)
\( ^{\text {в } \cdot \frac{G M m}{R^{2}} \times \Delta R} \)
\( ^{\mathrm{c}} \cdot \frac{G M m}{2 R^{2}} \times \Delta R \)
\( ^{\mathrm{D}} \cdot \frac{G M m}{2 R^{2}} \times \Delta R \)
Subject: Maths
Classify the following pair of line as coincident, parallel or intersecting
\( \boldsymbol{x}-\mathbf{2} \boldsymbol{y}+\mathbf{3}=\mathbf{0} \) \& \( \mathbf{3} \boldsymbol{x}-\mathbf{6} \boldsymbol{y}+\mathbf{9}=\mathbf{0} \)
A. Parallel
B. Intersecting
c. coincident
D. None of these
Subject: Physics
A small coin is resting on the bottom of
a beaker filled with a liquid. A ray of
light from the coin travels upto the
surface of the liquid and moves along
its surface (see figure)How fast is the
light travelling in the liquid?
\( \mathbf{A} \cdot 1.2 \times 10^{8} \mathrm{m} / \mathrm{s} \)
B . \( 1.8 \times 10^{8} \mathrm{m} / \mathrm{s} \)
C \( .2 .4 \times 10^{8} \mathrm{m} / \mathrm{s} \)
D. \( 3.0 \times 10^{8} \mathrm{m} / \mathrm{s} \)
Subject: Physics
When a plane mirror is placed horizontally on level ground at a distance of \( 60 \mathrm{m} \) from the foot of
a tower, the ray coming from the top of the tower and its reflected ray from
the mirror subtends an angle of \( 90^{\circ} \)
What is the height of the tower?
A. 30
B. 60 \( m \)
\( c \cdot 90 m \)
D. 120
Subject: Chemistry
A mono-electronic species in energy
level with energy X was provided with
excess of energy so that it jumps to higher energy level with energy Y. If it
can emit 6 wavelengths originated from all possible transition between these groups levels, then which of the
following relation is correct?
(Here \( n \) is the principle quantum of
energy level \( X \) )
A \( . X / Y=(n-1)^{2} \)
B. \( X / Y=1+3 / N \)
c. \( \sqrt{(X / Y)}=1+3 / N \)
D. \( X / Y=N / 6 \)
Subject: Physics
Two horizontal plates charged with \( +q \)
and \( -q \) charges are having an area of \( A \) A charged drop of oil is suspended in equilibrium position between the plates, then the charge on the oil drop will be :
A. \( m g / 4 \)
в. \( m g / A \)
\( \mathbf{c} \cdot m g \varepsilon_{0} A / q \)
D. \( m \varepsilon_{0} A / q \)
Subject: Physics
The dimensional formula for electric
flux is
\( \mathbf{A} \cdot\left[M L^{3} T^{-3} A^{-1}\right] \)
B \( \cdot\left[M L^{3} T^{-2} A^{-1}\right. \)
\( \mathrm{c} \cdot\left[M L^{1} T^{-1} A^{-1}\right. \)
D \( \cdot\left[M L^{4} T^{-2} A^{-1}\right] \)
Subject: Physics
A circular coil of magnetic moment
\( 0.355 J T^{-1} \) rests with its plane normal
to an external field of magnitude \( 5.0 \times \)
\( 10^{-2} \mathrm{T} . \) The coil is free to turn about an
axis in its plane perpendicular to the field direction. When the coil is turned
slightly and released, it oscillates about its stable equilibrium with a frequency
of \( 2 \mathrm{Hz} \). The moment of inertia of the coil
about its axis of rotation is?
A \( \cdot 1.13 \times 10^{-1} \mathrm{kg} \mathrm{m}^{2} \)
B . \( 1.13 \times 10^{-2} \) kg \( m^{2} \)
C \( \cdot 1.13 \times 10^{-3} \mathrm{kg} \mathrm{m}^{2} \)
D. \( 1.13 \times 10^{-4} \mathrm{kg} \mathrm{m}^{2} \)
Subject: Physics
Assertion
The effects of charge exchange are usually only noticed when at least one
of the surfaces has a high resistance to
electrical flow.
Reason
This is because the charges that transfer to or from the highly resistive
surface are more or less trapped there for a long enough time for their effects to be observed.
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
Two stones are thrown vertically upwards simultaneously with their initial velocities \( u_{1} \) and \( u_{2} \) respectively.
The heights reached by them would be in the ratio of
A \( \cdot u_{1}^{2}: u_{2}^{2} \)
в. \( u_{1}: u_{2} \)
c. \( u_{2}^{2}: u_{2}^{2} \)
D . \( u_{2}: u_{1} \)
Subject: Chemistry
A sample of ammonia has a mass of
51.1 \( g \). How many molecules are in this
sample?
A. \( 1.8 \times 10^{23} \) molecules
B. \( 3.6 \times 10^{23} \) molecules
c. \( 9.1 \times 10^{23} \) molecules
D. \( 1.8 \times 10^{24} \) molecules