AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Biology
Assertion
Metaphase II begins with splitting of centromere of each chromosomes into
two
Reason
In Anaphase II chromosomes align at
the equator.
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 long parallel wires are at a distance
of \( 1 \mathrm{m} \). If both of them carry one ampere of current in same direction, then the
force of attraction on unit length of the wires will be
A \( \cdot 2 \times 10^{-7} N / m \)
B . \( 4 \times 10^{-7} N / m \)
c. \( 8 \times 10^{-7} N / m \)
D. \( 10^{-7} N / m \)
Subject: Physics
Under certain circumstances, a nucleus can decay by emitting a particle more massive than an \( \alpha \) -particle. Consider
the following decay processes:
\( 223 R a \rightarrow \frac{209}{82} P b+\frac{14}{6} C \)
88
\( 223 R a \rightarrow 219 R n+4 H e \)
88
Calculate the \( Q \) -values for these decays and determine that both are
energetically allowed.
Subject: Maths
The volume of cube is \( 36 \mathrm{cm}^{3} . \) Its
surface area is
A \( \cdot 6(36)^{\frac{3}{2}} \)
B. \( (36)^{\frac{3}{2}} \)
c. \( 6(36)^{\frac{2}{5}} \)
D. None
Subject: Maths
\( \boldsymbol{x}=\boldsymbol{e}^{\boldsymbol{\theta}}(\sin \boldsymbol{\theta}+\cos \boldsymbol{\theta}), \boldsymbol{y}=\boldsymbol{e}^{\boldsymbol{\theta}}(\sin \boldsymbol{\theta}-\boldsymbol{1}) \)
\( \cos \boldsymbol{\theta}) \)
Fine \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \)
Subject: Chemistry
What is the oxidising agent in the following reaction? \( \mathbf{2} \boldsymbol{F} \boldsymbol{e}_{\boldsymbol{a} \boldsymbol{q}}^{\mathbf{2}+}+\boldsymbol{C l}_{\mathbf{2}(\boldsymbol{g})} \rightarrow \mathbf{2} \boldsymbol{F} \boldsymbol{e}_{(\boldsymbol{a q})}^{\mathbf{3}+}+\mathbf{2} \boldsymbol{C l}_{(\boldsymbol{a} \boldsymbol{q})}^{-} \)
A \( \cdot F e^{2} \)
в. \( C l_{2} \)
\( \mathrm{c} \cdot F e^{3} \)
D. \( C l^{-} \)
Subject: Physics
An object is placed at \( 40 \mathrm{cm} \) from the optic centre of a convex lens on its
principal axis. if the focal length of the lens is \( 24 \mathrm{cm} \), find how far from the lens
the screen should be placed to obtain a well-defined image.
A . \( 48 \mathrm{cm} \)
B. 38 cm
\( c .50 \mathrm{cm} \)
D. \( 60 \mathrm{cm} \)
Subject: Physics
Five identical resistor are initially arranged a shown in the figure be clear
lines. If two similar resistances
are added as shown by the dashed lines
then change in resistance in final and
initial arrangement is
\( \mathbf{A} \cdot 2 \Omega \)
B. \( 1 \Omega \)
\( c \cdot 3 \Omega \)
D. \( 4 \Omega \)
Subject: Chemistry
Assertion
\( N O_{2} \) is reddish brown and its dimer
\( N_{2} O_{4} \) is colourless
Reason
There is a dative bond formation
between two \( N O_{2} \) molecules.
A. Both assertion and reason are CORRECT and reason is the CORRECT explanation of the assertion
B. Both assertion and reason are CORRECT, but reason is NOT THE CORRECT explanation of the assertion
c. Assertion is CORRECT, but reason is INCORRECT
D. Assertion is INCORRECT, but reason is CORRECT
Subject: Physics
Two strings \( A \) and \( B \) have lengths \( i_{A} \)
and \( l_{B} \) and carry pendulum of masses
\( M_{A} \) and \( M_{B} \) at their lower ends the
upper ends being supported by rigid
supports. If \( n_{A} \) and \( n_{B} \) are their
frequencies of their oscillations and
\( \boldsymbol{n}_{\boldsymbol{A}}=\boldsymbol{2} \boldsymbol{n}_{\boldsymbol{B}}, \) then :
A \( . l_{A}=4 l_{B} \), regardless of masses
B . \( l_{B}=4 l_{4}, \) regardless of masses
C . \( M_{A}=2 M_{B}, l_{A}=2 l_{B} \)
D. \( M_{B}=2 M_{A}, l_{B}=2 l_{A} \)
Subject: Biology
Choose the correct statements with
regard to human respiration.
(A) Inspiration is facilitated by the contraction of phrenic and external inter-costal muscles
(B) Healthy human can inhale or exhale about 2000 to \( 3000 \mathrm{ml} \) of air per
minute
(C) Functional residual capacity represent the volume of left out air in lungs after expiration
(D) Total lung capacity is the total volume of air that could be accomodated in the lungs after forced inspiration.
A \( . \) A, \( c, \),
в. в, D,
\( c \cdot c, D, B \)
D. A, BCC
Subject: Physics
A hot liquid contained in a container of
negligible heat capacity loses temperature at rate \( 3 K / \)min just before it begins to solidify. The temperature remains constant for 30 min. If the ratio of specific heat capacity of liquid to specific latent heat of fusion is \( \frac{x}{90} K^{-1} . \) Find \( x \). (given that rate of losing heat is constant).
Subject: Maths
What can you say about the prime factorisations of the denominators of
the following rationals:
(i) 43.123456789
(ii) \( 43 . \overline{123456789} \) (iii) \( \mathbf{2 7} \mathbf{.} \overline{\mathbf{1 4 2} \mathbf{8 5 7}} \) (iv) 0.120120012000120000
Subject: Physics
Express the speed \( 36 k m h^{-1} \) in \( m s^{-1} \)
\( \mathbf{A} \cdot 3600 m s^{-1} \)
B. \( 10 m s^{-1} \)
\( \mathrm{c} \cdot 0.6 \mathrm{ms}^{-1} \)
D. \( 36 m s^{-1} \)
Subject: Physics
The ionization energy of the hydrogen atom is \( 13.6 \mathrm{eV} \). The potential energy of the electron in \( n=2 \) state of hydrogen atom is
A. \( +3.4 e V \)
B. - 3.4eV
\( \mathrm{c} .+6.8 \mathrm{eV} \)
D. \( -6.8 e V \)
Subject: Maths
\( \boldsymbol{y}=\log \boldsymbol{x} \) satisfies for \( \boldsymbol{x}>1, \) the
equality
This question has multiple correct options
A. \( x-1>y \)
B. \( x^{2}-1>y \)
c. \( y>x-1 \)
D. \( \frac{x-1}{x}<y \)
Subject: Physics
A boy standing between two cliffs claps
and hears 2 echoes after 2 s and 2.5 s
respectively. If the velocity of sound is \( 330 m s^{-1}, \) find the distance between he
two cliffs:
A. \( 742.50 \mathrm{m} \)
B. 274.50 \( \mathrm{m} \)
c. 472.50 \( \mathrm{m} \)
D. 442.50 \( \mathrm{m} \)
Subject: Physics
A particle can move only along \( x- \) axis.
Three pairs of initial and final positions
of particle at two successive times are
given
Initial poistion Final positioin Pair \( 1 \quad-3 m \) The \( +5 m \)
\( 2 \quad-3 m \) \( -7 m \)
3 \( +7 m \) \( -3 m \)
Find the sum of magnitudes of
displacement in the pairs which give
negative displacement in \( \boldsymbol{m} \)
Subject: Maths
If \( m=^{n} \mathrm{C}_{2}, \) then \( ^{m} \mathrm{C}_{2} \) equals
\( \mathbf{A} \cdot^{n+1} \mathbf{C}_{4} \)
B. \( 3 x^{n+1} \mathrm{C}_{4} \)
\( \mathrm{c} \cdot^{n} \mathrm{C}_{4} \)
D. \( n+1 \mathrm{C}_{3} \)
Subject: Chemistry
From the list of alkenes given below, identify the alkenes which on ozonolysis give only ketones.
(a) 2 methyl-1-butene
(b) 1-butene
(c) 2,3 -dimethyl-2-butene
(d) 3 -methyl-2-pentene
(e) 3,4 -dimethyl-3-hexene
(f) 2,5-dimethyl-2,4-hexadiene
\( A \cdot a, b \) and \( c \)
B. \( c \) and \( e \) only
c. \( d, e \) and \( f \)
D. \( c, d \) and \( e \)
Subject: Chemistry
In the reaction of \( 2 N O+O_{2} \rightarrow 2 N O_{2} \)
if the rate of disappearance of \( \boldsymbol{O}_{2} \) is 16 \( g m \) min \( ^{-1}, \) then the rate of
apperance of \( N O_{2} \) is:
A \( .90 \mathrm{gm} \mathrm{min}^{-1} \)
B. \( 46 \mathrm{gm} \) min\( ^{-1} \)
\( \mathrm{c} \cdot 28 \mathrm{gm} \min ^{-1} \)
D. 32 gm min\( ^{-1} \)
Subject: Maths
\( \operatorname{Let} f(x)=2 \tan ^{-1} x+\sin ^{-1}\left(\frac{2 x}{1+x^{2}}\right) \)
Then
A \( \cdot f^{\prime}(2)=f^{\prime}(3) \)
B . \( f^{\prime}(2)=0 \)
\( \mathbf{c} \cdot f^{\prime}(1 / 2)=16 / 5 \)
D. All of these
Subject: Maths
A manufacturing firm produces steel pipes in three planet with daily production daily production of 500 1000 and 2000 units reespectively. According to past experience, it is known that the fraction of defective
output produced by the three planets are respectively \( 0.005,0.008,0.010 . \) if \( a \) pipe is selected from a day's total production and faund to be defective,
find the probability that is has come
from the first plant
Subject: Physics
A body is thrown vertically upwards
from \( A, \) the top of the tower. It reaches
the ground in time \( t_{1} \). If it is thrown
vertically downwards from \( A \) with the
same speed, it reaches the ground in
time \( t_{2} . \) If it is allowed to fall freely from
\( A, \) then the time it takes to reach the
ground is given by
A \( \cdot t=\frac{t_{1}+t_{2}}{2} \)
B. \( t=\frac{t_{1}-t_{2}}{2} \)
C \( . t=\sqrt{t_{1} t_{2}} \)
D \( \cdot t=\sqrt{\frac{t_{1}}{t_{2}}} \)
Subject: Biology
The Calvin cycle proceeds in three
stages.
(1) Reduction, during which carbohydrate is formed at the expense of the photochemically made ATP and NADPH.
(2) Regeneration, during which the carbon dioxide acceptor ribulose- 1,5 biphosphate is formed
(3) Carboxylation, during which carbon dioxide combines with ribulose- -1, 5biphosphate

Identify the correct sequence from the following.
A .3,1,2
в. 3, 2,
\( c \cdot 1,2,3 \)
D. 2,1,
E. None of the above
Subject: Physics
A mixture of light, consisting of wavelength 590nm and an unknown wavelength, illuminates Young's double slit and gives rise to two overlapping interference patterns on the screen. The
central maximum of both lights coincide. Further, it is observed that the third bright fringe of known light coincides with the 4 th bright fringe of the unknown light. From this data, the wavelength of the unknown light is
A. \( 885.0 \mathrm{nm} \)
B. 442.5 nm
c. \( 776.8 \mathrm{nm} \)
D. 393.4 nm
Subject: Physics
The coil is wound on an iron core and
looped back on itself so that core has two sets of closely wound coils carrying current in opposite directions. The self inductance is
\( A \cdot 0 \)
B. \( 2 L \)
\( \mathrm{c} \cdot 2 \mathrm{L}+\mathrm{M} \)
D. \( L+2 M \)
Subject: Biology
The figure given below show three
velocity substrate concentration curves
for an enzyme reaction. What do the
curves a, b and c depict respectively?
A. a- Normal enzyme reaction
b- Competitive inhibition
c- Non-competitive inhibition
B. a- Enzyme with an allosteric modulator added
b- Normal enzyme activity
c- Competitive inhibition
C. a- Enyzme with an allosteric stimulator
b- Competitive inhibitor added
c- Normal enzyme reaction
D. a- Normal enzyme reaction
b- Non-competitive inhibitor added
c- Allosteric inhibitor added
Subject: Biology
John and Radha were classmates since
childhood. When Radha became eleven
years old, she developed a little swelling on her neck. She visited the doctor who
started medication for her. After a few
years, John also developed a slight
protrusion on his throat. He got worried
and went to the doctor. But, the doctor
assured him that it was a normal
feature in boys while they are growing
up. Which one is the reason for the
difference in diagnosis?
A. Radha's symptom is hyper/hypothyroidism, John's symptom is of puberty i.e. development of Adam's apple
B. Radha's symptom is of puberty i.e., development of Adam's apple, John's symptom is hyper/hypo thyroidism
C. Radha and John's symptoms are of hypothyroidism
D. Radha and John's symptoms are of hyperthyroidism
Subject: Chemistry
For the equilibrium system
\( 2 H X(g) \rightleftharpoons H_{2}(g)+X_{2}(g) \)
the equilibrium constant is \( 1.0 \times 10^{-5} \)
What is the concentration of \( \mathrm{HX} \) if the
equilibrium concentration of \( \boldsymbol{H}_{2} \) and
\( X_{2} \) are \( 1.2 \times 10^{-3} M, \) and \( 1.2 \times 10^{-4} M \)
respectively?
A \( \cdot 12 \times 10^{-4} M \)
В. \( 12 \times 10^{-3} M \)
c. \( 12 \times 10^{-2} M \)
D. \( 12 \times 10^{-1} M \)
Subject: Physics
A research satellite of mass \( 200 \mathrm{kg} \) circles the earth in an orbit of average radius \( \frac{3 R}{2}, \) where \( R \) is the radius of the earth. Assuming the gravitational pull on a mass \( 1 \mathrm{kg} \) on earth's surface to be
\( 10 \mathrm{N}, \) the pull on this satellite will be:
A . \( 860 \mathrm{N} \)
B. 889 N
c. \( 827 \mathrm{N} \)
D. 798 N
Subject: Maths
If \( \sqrt{\frac{1-\sin A}{1+\sin A}}+\frac{\sin A}{\cos A}=\frac{1}{\cos A}, \) for all
permissible values of \( A, \) then \( A \) belongs
to
This question has multiple correct options
A. First Quadrant
B. Second Quadrant
c. Third Quadrant
D. Fourth Quadrant
Subject: Biology
Here is the diagram of prothallus. Identify \( A, B \) and \( C \)
A. A - archegonia, B - antheridia, C - rhizoids
B. A - antheridia, B - archegonia, C - rhizoids
c. A - archegonia, B - antheridia, C- roots
D. A - antheridia, B - archegonia, C - roots
Subject: Physics
x-y curve at an instant for a wave
travelling along \( x \) axis on a string is shown. Slope at the point \( A \) on the curve,
as shown, is \( 53^{\circ} \)
This question has multiple correct options
A. Transverse velocity of the particle at point A is positive if the wave is travelling along the positive x axis.
B. Transverse velocity of the particle at point A is positive if the wave is travelling along the negative x axis of the particle at point \( A \)
C. The magnitude of transverse velocity of the particle at point A is greater than the wave speed.
D. The magnitude of the transverse velocity of the particle at point A is lesser than wave speed
Subject: Maths
Find the value of
\( \arg \left((1+i)^{i}\right) \)
A \( \cdot \frac{1}{4} \ln (2) \)
в. \( \frac{1}{2} \ln (2) \)
\( ^{\text {c. }} \frac{1}{2} \ln \left(\frac{1}{2}\right) \)
D \( \cdot \ln (2) \)
Subject: Physics
For minima to take place between two monochromatic light waves of
wavelength \( \lambda \), the path difference
should be
A \( . n \lambda \)
B. \( (2 n-1) \frac{\lambda}{4} \)
c. \( (2 n-1) \frac{\lambda}{2} \)
D. \( (2 n-1) \lambda \)
Subject: Maths
The D.E of the family of rectangular hyperbolas which have the coordinate
axes as asymptotes is:
A. \( x y_{1}+y=0 \)
в. \( x y_{2}+y_{1}=0 \)
\( \mathbf{c} \cdot x y_{2}=y \)
D. \( x y_{2}+y=0 \)
Subject: Physics
Which pair is not correct for the
instrument used in the laboratory and
their uses from the following?
Instrument uses
To measure the electric
\( \begin{array}{ll}\text { (A) } & \text { Voltmeter }\end{array} \quad \) potential difference
To measure the electric
(B) \( \quad \) Ammeter \( \quad \) current
To detect the presence
(C) Galvanometer of current
To supply the electric
(D) \( \quad \) Resistor \( \quad \) energy to circuit
\( A \cdot A \)
B. B
\( c \cdot c \)
\( D \cdot D \)
Subject: Maths
For all positive integers \( n, P(n) \) is true
and \( 2^{n-2}>3 n \), then which of the
following is true?
\( \mathbf{A} \cdot P(3) \) is true
\( \mathbf{B} \cdot P(5) \) is true
C. If \( P(m) \) is true then \( P(m+1) \) is also true.
D. If \( P(m) \) is true then \( P(m+1) \) is not true.
Subject: Maths
If one of the zeroes of the polynomial \( \boldsymbol{f}(\boldsymbol{z})=\boldsymbol{p}^{2} \boldsymbol{z}^{2}+\boldsymbol{8} \boldsymbol{z}+\boldsymbol{1} \boldsymbol{6} \) is reciprocal of
the other, then the value of \( p \) is:
\( A \ldots \pm 4 \)
B. - 5
\( c \cdot 6 \)
D. -
Subject: Maths
The two observations \( A \& B \) are given
by \( 100,101, \ldots \ldots .149 \) and
\( 200,201, \ldots \ldots, 249 \) with \( V_{A} \) and \( V_{B} \) are
variances of \( A \) and \( B \) than \( V_{A} \) is equal
to:
A. \( V_{B} \)
в. \( 100 V_{B} \)
\( \mathbf{c} \cdot 50 V_{B} \)
D. \( 200 V_{B} \)
Subject: Chemistry
\( \boldsymbol{F} \boldsymbol{e}_{\boldsymbol{x}} \boldsymbol{O}_{3}(\boldsymbol{s})+\boldsymbol{2} \boldsymbol{A} \boldsymbol{l}(\boldsymbol{s}) \rightarrow \boldsymbol{2} \boldsymbol{F} \boldsymbol{e}(\boldsymbol{l})+ \)
\( \boldsymbol{A l}_{2} \boldsymbol{O}_{\boldsymbol{y}}(\boldsymbol{s})+\boldsymbol{H} \boldsymbol{e} \boldsymbol{a} \boldsymbol{t} \)
Find the value of \( x \) and \( y \)
A. \( x=2, y=3 \)
в. \( x=3, y=2 \)
c. \( x=2, y=2 \)
D. \( x=3, y=3 \)
Subject: Chemistry
Molecules of ethanoic acid dimerises in
benzene due to \( H- \) bonding if al molecules of ethanoic acid associated
in benzene then:
A. boiling boiling of ethanoic acid become half of norma value
B. freezing point of ethanoic acid become twice of normal value
c. molar mass become twice of normal value
D. vapour pressure of solution decreases due to dimerisation
Subject: Maths
\( \operatorname{Let} \boldsymbol{S}_{\boldsymbol{n}}=\frac{\boldsymbol{n}}{(\boldsymbol{n}+\mathbf{1})(\boldsymbol{n}+\mathbf{2})}+ \)
\( \frac{n}{(n+2)(n+4)}+\frac{n}{(n+3)(n+6)}+ \)
\( \ldots .+\frac{1}{6 n}, \) then \( \lim _{n \rightarrow \infty} S_{n} \) is
This question has multiple correct options
A \( \cdot \ln \frac{3}{2} \)
B. \( \ln \frac{9}{2} \)
\( c \cdot>1 \)
D . < 2
Subject: Physics
In the case of the Bohr atomic model if
\( E_{K} \) and \( U \) are the kinetic and potential
energies of an electron in an orbit then:
\( \mathbf{A} \cdot E_{K}+U=0 \)
B . \( E_{K}-U=0 \)
\( \mathbf{c} \cdot 2 E_{K}+U=0 \)
D. \( E_{K}+2 U=0 \)
Subject: Physics
A circular coil of mean radius of \( 7 \mathrm{cm} \)
and having 4000 tums is rotated at the rate of 1800 revolutions per minute in the earth's magnetic field \( (\mathrm{B}=0.5 \) Gauss ), The peak value of emf induced is
A . \( 1.158 \mathrm{v} \)
B. 0. 58 v
c. \( 0.29 v \)
D. 5.8
Subject: Maths
Evaluate the following integrals:
\( \int \sqrt{2 x-x^{2}} d x \)
A \( \cdot(x-1) \sqrt{2 x-x^{2}}+\frac{1}{2} \sin ^{-1}(x-1)+C \)
B. \( \frac{1}{2}(x-1) \sqrt{2 x-x^{2}}+2 \sin ^{-1}(x-1)+C \)
c. \( \frac{1}{2}(x-1) \sqrt{2 x-x^{2}}+\frac{1}{2} \sin ^{-1}(x-1)+C \)
D. none of these
Subject: Chemistry
Calculate the energy required to excite two litre of hydrogen gas at 1 atom and \( 298 \mathrm{k} \) to the first excited state of atomic
hydrogen. The energy for the
disassociation of \( \mathrm{H}_{2} \) bond is \( 436 \mathrm{kJ} \) mol
\( -1 . \) Also calculate the minimum
frequency of photon to break this bond.
A. \( 8.523 \times 10^{15} \mathrm{Hz} \)
В . \( 1.096 \times 10^{15} \) Н \( z \)
c. \( 1.633 \times 10^{15} \mathrm{Hz} \)
.
D. 2.806 \( \times 10^{15} \mathrm{Hz} \)
Subject: Chemistry
Which of the following best define the term hyperconjugation?
A. Transfer of \( \mathrm{H} \) from \( \sigma_{C-H} \) bond to the \( \pi \) system.
B. Participation of an H-atom on terminal carbon in the electron sharing.
C. Delocalisation of electron density from a proper oriented \( \sigma \) -bond into \( \pi \) system.
D. Interaction between a' properly aligned, electron pair with the empty \( \pi \) system.
Subject: Physics
A metal oxide has the formula \( M_{2} O_{3} \). It
can be reduced by \( \boldsymbol{H}_{2} \) to give free metal
and water. \( 0.15 \% \) g of \( M_{2} O_{3} \) required 6
mg of \( \boldsymbol{H}_{2} \) for complete reduction. The
atomic mass of the metal is:
A. 27.9
B. 79.8
\( c . \) 55.8
D. 159.8
Subject: Chemistry
In the reaction, \( \boldsymbol{A}+\boldsymbol{B} \longrightarrow \boldsymbol{C}+\boldsymbol{D}, \) the
rate \( \left(\frac{d x}{d t}\right) \) when plotted against time \( t^{\prime} \) gives a straight line parallel to time axis and at some time \( ^{\prime} t^{\prime}, \frac{d x}{d t}=k . \) The order and rate of reaction will be:
A. \( 1, k+1 \)
в. \( 0, k \)
\( \mathbf{c} \cdot(1+k), 1 \)
D. \( k, k+1 \)
Subject: Chemistry
In the reaction, \( \boldsymbol{C u}(\boldsymbol{s})+\boldsymbol{2} \boldsymbol{A} \boldsymbol{g}^{+}(\boldsymbol{a} \boldsymbol{q}) \rightarrow \)
\( \boldsymbol{C u}^{2+}+\mathbf{2} \boldsymbol{A} \boldsymbol{g}(\boldsymbol{s}) \)
A \( \cdot \) cu(s) is oxidised to \( C u^{2} \)
B. \( \operatorname{Cu}(\mathrm{s}) \) reduced to \( C u^{2+}(a q) \)
c. \( \operatorname{Ag} \) (aq) is oxidised to \( \mathrm{Ag} \) (s)
D. Both Cu(s) and \( A g^{+} \) (aq) are oxidised
Subject: Physics
mounted on one end of a balance beam
and introduced between the poles of an
electromagnet as shown in fig. The area
of the coil is \( S=1 c m^{2}, \) the length of the
right arm of the balance beam is \( l= \)
\( 30 \mathrm{cm} . \) When there is no current in the
coil the balance is in equilibrium. On
passing a current \( I=22 m A \) through
the coil, equilibrium is restored by
putting an additional weight of mass
\( \boldsymbol{m}=\mathbf{6 0} \mathrm{mg} \) on the balance pan. Find the
magnetic induction field (in terms of
\( \left.\times 10^{-1} T\right) \) between the poles of the electromagnet, assuming it to be uniform:
Subject: Chemistry
The element with the electronic
configuration \( [\boldsymbol{X} \boldsymbol{e}] \boldsymbol{4} \boldsymbol{f}^{14} \boldsymbol{5} \boldsymbol{d}^{1} \boldsymbol{6} \boldsymbol{s}^{2} \) is a
A. representative element
B. transition element
c. actinide element
D. Lanthanides element
Subject: Physics
A satellite of mass \( 250 k g \) is orbiting the Earth a height of \( 500 k m \) above the
surface of Earth. How much energy
must be expended to rocket the satellite out of the gravitational influence of the Earth ? Given mass of
the Earth \( =6.0 \times 10^{24} \) kgradius of the
Earth \( =6400 \mathrm{km} ; \) and \( \mathrm{G}=6.67 \mathrm{x} \)
\( 10^{-11} N m^{2} k g^{-2} \)
Subject: Chemistry
A \( 10 \% \) solution of \( N a C l \) means that in
\( 100 g \) of solution there is:
A. \( 5.85 g \) NaCl
в. \( 58.5 g \) NaCl
c. \( 10 g \) NaCl
D. \( 94 g \) NaCl
Subject: Maths
The probability that atleast one of the
events \( A, B \) happens is \( 0.6 . \) If probability of their simultaneously happening is \( 0.5, \) then \( \boldsymbol{P}(\overline{\boldsymbol{A}})+\boldsymbol{P}(\overline{\boldsymbol{B}})= \)
A . 0.4
B. 0.8
c. 0.9
D. 1.
Subject: Chemistry
Total \( 2 c-2 e \) and \( 3 c-2 e \) bonds in
\( B e\left(B H_{4}\right)_{2} \) are respectively:
\( A \cdot 8,4 \)
B. 4,8
\( c \cdot 4,4 \)
\( D .8,8 \)
Subject: Physics
Assertion: The magnetic field lines of the earth resemble that of a magnetic
dipole located at the centre of the earth. Reason: The axis of the dipole coincide with the axis of rotation of the earth.
A. If both assertion and reason are true and reason is the correct explanation of assertion.
B. If both assertion and reason are true and reason is not the correct explanation of assertion.
c. If assertion is true but reason is false
D. If both assertion and reason are false
Subject: Maths
\( \operatorname{Let} \boldsymbol{S}=\{(\boldsymbol{a}, \boldsymbol{b}, \boldsymbol{c}) \in \boldsymbol{N} \times \boldsymbol{N} \times \boldsymbol{N}: \boldsymbol{a}+ \)
\( \boldsymbol{b}+\boldsymbol{c}=\mathbf{2 1}, \boldsymbol{a} \leq \boldsymbol{b} \leq \boldsymbol{c}\} \) and \( \boldsymbol{T}= \)
\( \{(a, b, c) \in N \times N \times N: \)
\( a, b, c a r e i n A P\}, \) where \( N \) is the set of
all natural numbers. Then, the number
of elements in the set \( S \cap T \) is
\( A \cdot 6 \)
B. 7
c. 13
D. 14
Subject: Physics
\( A \) thin prism \( P_{1} \) with angle \( 6^{\circ} \) and made from glass of refractive index 1.54 is
combined with another thin prism \( P_{2} \) of
refractive index 1.72 to produce dispersion without deviation. The
angle of prism \( P_{2} \) will be.
A . \( 4^{\circ} 30^{\circ} \)
B. \( 8.5^{\circ} \)
c. \( 6.5^{\circ} \)
D. None of these
Subject: Maths
The equation of tangent at those points where the curve \( y=x^{2}-3 x+2 \) meets
\( x \) -axis are
A. \( x-y+2=0, x-y-1=0 \)
в. \( x+y-1=0, x-y-2=0 \)
c. \( x-y-1=0, x-y=0 \)
D. \( x-y=0, x+y=0 \)
Subject: Physics
Two identical calorimeters \( P \) and \( Q \)
contain an equal quantity of the water
at \( 12^{\circ} \mathrm{C} . \mathrm{A} 5 \mathrm{g} \) piece of metal \( x \) of specific heat 0.2 cal \( g^{-1 o} C^{-1} \) is
dropped into \( P \) and a \( 5 g \) piece of metal \( y \) into Q. The equilibrium temperature in
\( P \) is \( 22^{\circ} C \) and in \( Q 23^{\circ} C . \) If the initial
temperature of both the metals is \( 40^{\circ} \mathrm{C} \) Find the specific heat of metal \( y \)
Subject: Maths
Suppose \( f(x) \) is a function satisfying the following conditions.
\( (a) f(0)=2, f(1)=1 \)
(b) \( f(x) \) has a maximum at \( x=5 / 2, \) and
(c) for all \( x \in R \)
\( \boldsymbol{f}^{\prime}(\boldsymbol{x})= \)
\( \mid \begin{array}{ccc}2 a x & 2 a x-1 & 2 a x+b+ \\ b & b+1 & -1 \\ 2(a x+b) & 2 a x+2 b+1 & 2 a x+b\end{array} \)
where \( a, b \) are constants, then