AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle of \( 30^{0} \) with each other. When suspended in a liquid
of density \( 0.8 \mathrm{gcm}^{-3}, \) the angle remains
the same. If density of the material of
the sphere is \( 1.6 \mathrm{gcm}^{-3} \), the dielectric
constant of the liquid is :
\( A \cdot 4 \)
B. 3
\( c \cdot 2 \)
\( D \)
Subject: Physics
The bulk modulus of elasticity for monoatomic ideal gas during an isothermal process is \( (\mathrm{P}= \) pressure of the gas)
A. \( P \)
в. \( \frac{2 P}{3} \)
c. \( \frac{5 P}{3} \)
D. \( \frac{7 P}{3} \)
Subject: Physics
freely slide on a pair of parallel smooth
horizontal rails placed in vertical
magnetic field \( B \). The rails are
connected by a capacitor of
capacitance \( C . \) The electric resistance
of the rails and the wire is zero. If a
constant force \( F \) acts on the wire as
shown in the figure. Then, the
acceleration of the wire can be given as
\( ^{\mathbf{A}} \cdot_{a}=\frac{C^{2} B^{2} l-F}{m} \)
\( ^{\mathbf{B}} \cdot_{a}=\frac{F}{m+C B l} \)
\( ^{\mathbf{C}} \cdot_{a}=\frac{F C^{2} B^{2} l}{m} \)
D. \( a=\frac{F}{m+C B^{2} l^{2}} \)
Subject: Chemistry
In the presence of \( S O_{3}^{2-} \) and \( S^{2-} \) in a
mixture, on adding dil. \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4}, \) one
notices:
A. \( S O_{2} \) and \( H_{2} S \) are not formed
B. \( S O_{2} \) and \( H_{2} S \) formed during change undergoes a redox change forming colloidal sulphur and thus, no smell
c. a smell of burning sulphur
D. a smell of rotten egg
Subject: Physics
The specific resistance \( \rho \) of a circular wire of radius \( r, \) resistance \( R, \) and length
is given by \( \rho=\pi r^{2} R / l . \) Given: \( r= \)
\( \mathbf{0 . 2 4} \pm \mathbf{0 . 0 2 c m}, \boldsymbol{R}=\mathbf{3 0} \pm \mathbf{1 \Omega}, \) and \( \boldsymbol{l}= \)
\( 4.80 \pm 0.01 c m . \) The percentage error in
\( \rho \) is nearly:
A . \( 7 \% \)
в. \( 9 \% \)
c. \( 13 \% \)
D. 20\%
Subject: Chemistry
For an equilibrium reaction involving gases, the forward reaction is first order
while the reverse reaction is second
order. The units of \( \boldsymbol{K}_{\boldsymbol{p}} \) for forward equilibrium is:
A . atm
B \( . a t m^{2} \)
c. \( a t m^{-1} \)
D. \( a t m^{-2} \)
Subject: Maths
The set of all solution of the inequality \( (1 / 2)^{x^{2}-2 x}<1 / 4 \) contains the set:
\( A \cdot(-\infty, 0) \)
B \( \cdot(-\infty, 1) \)
\( \mathbf{c} \cdot(1, \infty) \)
D \cdot \( (3, \infty) \)
Subject: Chemistry
A baseball of mass \( 200 \mathrm{g} \) is moving with velocity \( 30 \times 10^{2} \mathrm{cm} / \mathrm{s} \). If we can locate
the baseball with an error equal in
magnitude to the \( \lambda \) of the light used \( \mathbf{5 0 0 0} \boldsymbol{A} \), then the uncertainty in
momentum compared with the total momentum of base ball is:
A \( .1 .75 \times 10^{-29} \)
В. \( 1.34 \times 10^{-29} \)
c. \( 1.89 \times 10^{-29} \)
D. \( 2.03 \times 10^{-29} \)
Subject: Chemistry
When \( 3 g \) of carbon is burnt in \( 8 g \) of oxygen, \( 11 g \) of carbon dioxide is
produced. What mass of carbon dioxide will be formed when \( 3 g \) of carbon is burnt in \( 50 g \) oxygen?
A . \( 12 g \)
в. 13 g
c. \( 11 g \)
D. \( 10 g \)
Subject: Maths
Which one of the following relations on \( \mathbf{Z} \) is equivalence relation?
A \( . x R_{1} y \Leftrightarrow|x|=|y| \)
В. \( x R_{2} y \Leftrightarrow x \geq y \)
c. \( x R_{3} y \Leftrightarrow \frac{x}{y} \)
D. \( x R_{4} y \Leftrightarrow x<y \)
Subject: Maths
The general solution of the equation
\( \sin x+\cos x=1 \) is
A \( \cdot x=2 n \pi+\frac{\pi}{2}, n=0,\pm 1,\pm 2 \)
B \( \cdot x=n \pi+\left((-1)^{n}+1\right) \frac{\pi}{4}, n=0,\pm 1,\pm 2 \)
C \( x=n \pi+\left((-1)^{n}-1\right) \frac{\pi}{4}, n=0,\pm 1,\pm 2 \)
D. \( x=2 n \pi, n=0,\pm 1,\pm 2 \)
Subject: Chemistry
The above process is:
\[
\begin{array}{c}
\boldsymbol{H} \boldsymbol{g} \boldsymbol{S} \stackrel{\boldsymbol{O}_{2}}{\longrightarrow} \boldsymbol{H} \boldsymbol{g} \boldsymbol{S} \cdot \boldsymbol{H} \boldsymbol{g} \boldsymbol{O} \\
& \downarrow \boldsymbol{\Delta} \\
\boldsymbol{H} \boldsymbol{g}
\end{array}
\]
A. auto oxidation
B. self reduction
c. thermal reduction
D. none of the above
Subject: Physics
The maximum speed of the molecules of a gas in a vessel is \( 400 \mathrm{m} / \mathrm{s} \). If half of the gas leaks out, at constant
temperature, the \( r m s \) speed of the
remaining molecules will be-
A. \( 800 \mathrm{m} / \mathrm{s} \)
B . \( 400 \sqrt{2} \mathrm{m} / \mathrm{s} \)
c. \( 400 \mathrm{m} / \mathrm{s} \)
D. \( 200 \mathrm{m} / \mathrm{s} \)
Subject: Physics
A mass is at the center of a square, with
four masses at the corners as
shown. Rank the choices according to
the magnitude of the gravitational force
on the center mass.
\( \mathbf{A} \cdot F_{A}=F_{B}<F_{C}=F_{D} \)
B . \( F_{A}>F_{B}<F_{D}<F_{C} \)
\( \mathbf{c} \cdot F_{A}=F_{B}>F_{C}=F_{D} \)
D. None
Subject: Physics
Two liquid jets coming out of the small
holes at \( P \) and \( Q \) intersect at the point \( R \)
Find the position of \( R \) if we maintain the
liquid level constant
A \( \cdot \sqrt{2} h \)
B. \( 2 \sqrt{2} h \)
\( c \cdot 3 \sqrt{2} h \)
D. \( 5 \sqrt{2} h \)
Subject: Physics
The length of a wire of cross-sectional
\( \operatorname{area} 1 \times 10^{-6} m^{2} \) is \( 10 \mathrm{m} . \) The young's
modulus of the material of the wire is
25 G.pa. When the wire is subjected to a tensile force of \( 100 N \), the
elongation produced in \( m m \) is:
A . 0.04
B. 0.4
\( c \cdot 4 \)
D. 40
Subject: Physics
The plane face of a plano convex lens is
silvered. If \( \mu \) be the refractive index and
R, the radius of curvature of curved
surface, then system will behave like a concave mirror of curvature.
A \( . \mu R \)
в. \( R^{2} / \mu \)
\( \mathbf{c} \cdot R /(\mu-1) \)
D. \( [(\mu+1) /(\mu-1)] R \)
Subject: Maths
If the straight line \( y=m x+c \) is
parallel to the axis of the parabola \( \boldsymbol{y}^{2}= \) \( l x \) and intersects the parabola at
\( \left(\frac{c^{2}}{8}, c\right) \) then the length of the latus rectum is
A . 2
B. 3
\( c \cdot 4 \)
D.
Subject: Maths
Let \( X \) be any point on the side \( B C \) of \( a \) triangle ABC. If \( \mathrm{XM}, \mathrm{XN} \) are drawn parallel to BA and CA meeting CA, BA in M, N respectively; MN meets BC
produced in \( T, \) prove that \( \boldsymbol{T} \boldsymbol{X}^{2}=\boldsymbol{T} \boldsymbol{B} \times \)
\( \boldsymbol{T} \boldsymbol{C} \)
Subject: Maths
If \( 2(a-8 \times 5)-2 \times 7=3 \times 1 \times a+ \)
\( \mathbf{7} \times \mathbf{4}-(\mathbf{8} \times \mathbf{1} \times \mathbf{a}-\mathbf{1}), \) find \( \boldsymbol{a} \)
A \( \cdot \frac{123}{8} \)
B. \( \frac{123}{7} \)
c. \( \frac{8}{123} \)
D. \( \frac{7}{123} \)
Subject: Chemistry
Assertion
Aluminium a good reducing agent.
Reason

Aluminium has strong affinity for oxygen and is thus readily oxidized.
Read the above assertion and reason
and choose the correct option regarding
¡t.
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
The motion of a body is given by the equation \( \frac{d v}{d t}=6-3 v: w \) here \( v \) is in
\( \boldsymbol{m} / \boldsymbol{s} . \) If the body was at rest at \( \boldsymbol{t}=\mathbf{0} \)
(i) the terminal speed is \( 2 m / s \)
(ii) the magnitude of the initial acceleration is \( 6 m / s \)
(iii) the speed varies with time as \( v= \)
\( 2\left(1-e^{-3 t}\right) m / s \)
(iv) The speed is 1 m/s,when the
acceleration is half the initial
\( \mathbf{A} \cdot(i),(i i i) \)
B. \( (i i),(i i i),(i v) \)
c. \( (i),(i i),(i i i) \)
D. Alll
Subject: Maths
Which of these four numbers \( \sqrt{\boldsymbol{\pi}^{2}}, \sqrt[3]{\boldsymbol{0 . 8}}, \sqrt[4]{.00016}, \sqrt[3]{-1} \cdot \sqrt{(.09)^{-1}} \) is
(are) rational:
A. none
B. all
c. the first and fourth
D. only the fourth
E. only the first
Subject: Physics
Two particles of mass \( m \) each are tied
at the ends of a light string of length \( 2 a \)
The whole system is kept on a frictionless horizontal surface with the
string held tight so that each mass is at a distance \( a \) from the center \( P \) (as
shown in the figure). Now, the mid-point of the string is pulled vertically downwards with a small but constant
force \( F \). As a result, the particles move
towards each other on the surface. Find
the magnitude of acceleration, when the separation between them becomes
\( \mathbf{2} \boldsymbol{x} \)
Subject: Physics
Find the gravitational force between two atoms in a hydrogen molecule. Given that \( G=6.67 \times 10^{-11} N m^{2} k g^{-2} \) and
mass of hydrogen atom \( 1.67 \times 10^{-27} k g \)
and the distance between the two
atoms1 \( ^{\circ} A . \) The answer is \( 1.86 \times \)
\( 10^{-x y} N \) then \( x+y= \)
Subject: Physics
When a nucleus with atomic number \( z \)
and mass number A undergoes a
radioactive decay process
A. both \( z \) and \( A \) will decrease if the process is \( \alpha \) -decay
B. Z will decrease but A will not change if the process is \( \beta^{+}- \) decay
c. z will increase but A will not change, if the process is \( \beta^{-}- \) decay
D. z and A will remain unchanged if the process is \( \gamma \) decay
Subject: Maths
In the figure given \( L_{1} \) and \( L_{2} \) are
parallel. The sum of the angles \( \boldsymbol{\alpha}, \boldsymbol{\beta}, \boldsymbol{\gamma} \)
marked in the diagram is:
\( A \cdot 180^{\circ} \)
В. \( 270^{\circ} \)
\( c \cdot 360^{\circ} \)
D. \( \leq 270^{\circ} \)
Subject: Chemistry
The IUPAC name of the compound is:
A. 3 -keto- 2 -methylhex- 5 -en-al
B. 3-keto-2-methylhex-4-en-al
C. 5 -formylhex- 2 -en-3-one
D. 5-methyl-4-oxohex-2-en-5-al
Subject: Maths
Find the intersection of \( \boldsymbol{A} \) and \( \boldsymbol{B}, \) and
represent it by Venn diagram:
\( \boldsymbol{A}=\{\boldsymbol{a}, \boldsymbol{c}, \boldsymbol{d}, \boldsymbol{e}\}, \boldsymbol{B}=\{\boldsymbol{b}, \boldsymbol{d}, \boldsymbol{e}, \boldsymbol{f}\} \)
\( \mathbf{A} \cdot\{a, c, d, e\} \)
B \( \cdot\{d, e\} \)
\( \mathbf{c} \cdot\{a, b, c, d, e\} \)
D. None of these
Subject: Maths
If \( p \) and \( q \) are two statement then \( (p \leftrightarrow \)
\( \sim q) \) is true when
A. \( p \) and \( q \) both are true
B. \( p \) and \( q \) both are false
C. \( p \) is false and \( q \) is true
D. None of these
Subject: Maths
If the median of the following frequency distribution is \( 28.5 . \) find the missing frequencies.
30
\( \mathrm{c} \)
\[
\begin{array}{lll}
0- & 10- & 30 \\
10 & 20 &
\end{array}
\]
Freq.
२० 15
A \( \cdot f_{1}=7, f_{2}=8 \)
B . \( f_{1}=8, f_{2}=7 \)
c. \( f_{1}=6, f_{2}=9 \)
D. \( f_{1}=9, f_{2}=6 \)
Subject: Physics
What is the mass of neutron?
A \( \cdot 1.675 \times 10^{-24} g \)
В. \( 9.1 \times 10^{-31} k g \)
c. \( 1.675 \times 10^{-30} g \)
D. \( 9.1 \times 10^{-27} k g \)
Subject: Maths
\( \operatorname{Let} \boldsymbol{A}=\left[\begin{array}{cc}\sin \boldsymbol{\theta} & \mathbf{0} \\ \mathbf{0} & -\boldsymbol{\operatorname { s i n } \boldsymbol { \theta }}\end{array}\right] \cdot \). If \( \boldsymbol{A}+\boldsymbol{A}^{\boldsymbol{T}} \) is a
null matrix, then the number of values
of \( \boldsymbol{\theta} \) in \( [\mathbf{0}, \mathbf{2} \boldsymbol{\pi}] \) is
A . 4
B. 3
\( c \cdot 2 \)
D.
Subject: Chemistry
At what temperature is the kinetic energy of a gas molecule half of its
value at \( 327^{\circ} \mathrm{C} \) ?
A . \( 13.5^{\circ} \mathrm{C} \)
B . \( 150^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 27^{\circ} C \)
D. \( -123^{\circ} \mathrm{C} \)
Subject: Chemistry
Which combination will give the strongest covalent bond?
A \( \cdot K^{+} \) and \( C l^{-} \)
B. \( K^{+} \) and \( O^{2} \)
c. \( C a^{2+} \) and \( C l^{-} \)
D. \( C a^{2+} \) and \( O^{2} \)
Subject: Biology
Read the following statements carefully
(I) Energy transfer in the biotic world always proceeds from the autotrophs.
(II) Energy flow in undirectional
(III) Energy availability is maximum at the tertiary level
(IV) There is loss of energy from one
trophic level to that other.

Select the relevant statements for the
forest ecosystem.
\( \mathbf{A} \cdot \) ।, ॥ and \( 1 \mathbf{V} \)
B. I, II and III
c. ।, III and IV
D. II, III and IV
Subject: Maths
In how many years will a sum of Rs. 800 at \( 10 \% \) per annum compounded, semiannually become Rs. 926.10 ?
A \( \cdot 1 \frac{1}{3} \)
в. \( 1 \frac{1}{2} \)
c. \( _{2} \frac{1}{3} \)
D. \( _{2} \frac{1}{2} \)
Subject: Physics
A parallel plate condenser has plates of
area \( 200 \mathrm{cm}^{2} \) and separation \( 0.05 \mathrm{cm} \)
The space between plates have been
filled with a dielectric having \( \mathbf{k}=\mathbf{8} \) and
then charged to 300 volts. The stored energy:
A . \( 121.5 \times 10^{-6} \mathrm{J} \)
В. \( 28 \times 10^{-6} \mathrm{J} \)
D. \( 1.6 \times 64 \times 10^{-5} \mathrm{J} \)
Subject: Physics
A light rod of length \( 2.00 m \) is suspended from the ceiling horizontally by means of two vertical wires of equal length tied to its ends. One of the wires is made of steel and is of cross section
\( 10^{-3} m^{2} \) and the other is of brass of
cross-section \( 2 \times 10^{-3} m^{2} . \) Find out the
position along the rod at which a weight may be hung to produce.(Youngs modulus for steel is \( 2 \times 10^{11} \mathrm{N} / \mathrm{m}^{2} \) and for
brass is \( 10^{11} \mathrm{N} / \mathrm{m}^{2} \) )
a) equal stress in both wires
b) equal strains on both wires
A. \( 1.33 m, 1 m \)
в. \( 1 m, 1.33 m \)
c. \( 1.5 m, 1.33 m \)
D. \( 1.33 m, 1.5 m \)
Subject: Maths
Express the following as a rational number i.e. in the form \( \frac{a}{b} ; \) where \( a, b \in I \) and \( \boldsymbol{b} \neq \mathbf{0} \)
\( 0.4375=? \)
A \( \cdot \frac{5}{16} \)
в. \( \frac{7}{16} \)
\( c \cdot \frac{3}{16} \)
D. \( \frac{9}{16} \)
Subject: Physics
If speed of infrasonics, audible and
ultrasonics waves are \( v_{i}, v_{a} \) and \( v_{u} \) then
A \( \cdot v_{i}>v_{a}>v_{u} \)
В . \( v_{i}=v_{a}=v_{u} \)
c. \( v_{i}<v_{a}<v_{u} \)
D. \( v_{i}>v_{a}, v_{u}>v_{a} \)
Subject: Physics
A thin copper wire length L increases its length by \( 1 \% \) heated from
temperature \( T_{1} \) and \( T_{2} \) What is the
percentage change in area when a thin copper plate having dimension \( 2 \mathrm{Lx} \) Lis
heated from \( \boldsymbol{T}_{1} \) to \( \boldsymbol{T}_{2} \)
A. \( 0.5 \% \)
B . 1 \%
c. \( 2 \% \)
D. 4 \%
Subject: Physics
A bob of mass \( 10 m \) is suspended
through an inextensible string of length
When the bob is at rest in equilibrium
position two particles, rach of mass \( m \)
strike it as shown in Fig. The particles
stick after collision. Choose the correct
statement from the following.
A. Impulse in the string due to tension is 2 mu.
B. velocity of the system just after collision is \( \nu=\frac{u \sqrt{3}}{14} \)
c. Loss of energy is \( \frac{137}{28} m u^{2} \)
nergy is \( \frac{137}{56} m u^{2} \)
Subject: Chemistry
Assertion
Extraction of gold from its native ore
involves leaching the metal ore with dilute solution of NaCN in presence of
air.
Reason
This is an oxidation reaction and leads
to the formation of a soluble complex.
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: Maths
If \( \boldsymbol{y}=\log [\log (\log \boldsymbol{x})], \) then value of \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \)
is.
A \( \cdot \frac{1}{x \log x} \)
в. \( \frac{1}{x \log x \log (\log x)} \)
c. \( \frac{1}{x \log (\log x)} \)
D.
Subject: Physics
A carpet of mass \( M \) made of inextensible material is along its length
in the form of a cylinder of radius \( R \) and
is kept on a rough floor. The carpet starts unrolling without sliding on the floor when a negligibly small push is given to it. If the horizontal velocity of the axis of the cylindrical part of the
carpet when its radius reduces to \( \boldsymbol{R} / \mathbf{2} \) is \( \sqrt{\frac{x}{3} g R}, \) find the value of \( x \)
Subject: Maths
Let \( a_{1}, a_{2}, a_{3} \) and \( a_{4} \) be in AP. If \( a_{1}+ \)
\( a_{4}=10 \) and \( a_{2} \cdot a_{3}=24, \) then the least
term of them is
A . 1
B. 2
\( c .3 \)
D. 4
E. 5
Subject: Physics
A body is projected horizontally from a point above the ground and motion of the body is described by the equation
\( \boldsymbol{x}=\mathbf{2} \boldsymbol{t}, \boldsymbol{y}=\mathbf{5} \boldsymbol{t}^{2} \) where \( \boldsymbol{x}, \) and \( \boldsymbol{y} \) are
horizontal and vertical coordinates in
meter after time \( t . \) The initial velocity of the body will be
A. \( \sqrt{29} \mathrm{m} / \mathrm{s} \) horizontal
B . \( 5 \mathrm{m} / \mathrm{s} \) horizontal
c. \( 2 m / s \) vertical
D. \( 2 m / s \) horizontal
Subject: Chemistry
A 0.5 molal solution of ethylene glycol in water is used as the coolant in a car. If
the freezing point constant of water is \( 1.86 \mathrm{K} . \mathrm{kg} / \mathrm{mol} \), the mixture will freeze at:
\( \mathbf{A} \cdot 0.93^{0} C \)
B. \( -0.93^{0} C \)
c. \( 1.86^{0} C \)
D. \( -1.86^{0} C \)
Subject: Physics
What is work done in holding a body of mass \( 20 \mathrm{kg} \) at a height of \( 2 \mathrm{m} \) above the
ground? \( \left(g=10 m / s^{2}\right) \)
A . \( 40 \mathrm{J} \)
B. 400 J
c. \( 10 J \)
D. zero
Subject: Physics
A rope thrown over a pulley has a ladder
with a man A no one of its ends and a
counterbalancing mass \( \mathrm{M} \) on its other end. The man whose mass is \( \mathrm{m} \), climbs upwards by \( \vec{\Delta} r \) relative to the ladder
and then stops. Ignoring the masses of the pulley and the rope, as well as the friction in the pulley axis, find the displacement of the centre of mass of
this system
Subject: Maths
An investigator interviewed 100 students to determine their preferences for the three drinks: milk ( \( M \) ), coffee
\( (C) \) and tea \( (T) . \) He reported the following: 10 students had all the three drinks \( M, C, T ; 20 \) had \( M \) and \( C \) only; \( \mathbf{3 0} \) had \( \boldsymbol{C} \) and \( \boldsymbol{T} ; \mathbf{1 2} \) had \( \boldsymbol{M} \) only \( ; \mathbf{5} \) had \( C \) only; 8 had \( T \) only. Then how many did not take any of three drinks is
A . 20
B. 30
\( c .36 \)
D. 42
Subject: Physics
Assertion
To increase the length of a thin steel
wire of \( 0.1 \mathrm{cm}^{2} \) cross sectional area by
\( 0.1 \%, \) a force of \( 2000 N \) is required, its
\( \boldsymbol{Y}=\mathbf{2 0 0} \times \mathbf{1 0}^{\mathbf{9}} \boldsymbol{N} \boldsymbol{m}^{-\mathbf{2}} \)
Reason
It is calculated by \( Y=\frac{\boldsymbol{F} \times \boldsymbol{L}}{\boldsymbol{A} \times \boldsymbol{\Delta} \boldsymbol{L}} \)
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: Maths
1250 persons went to see a circus-show
Each adult paid Rs. 75 and each child
paid Rs. 25 for the admission ticket Find the number of adults and number
of children, if the total collection from them amounts to Rs. 61,250
A. Adults \( =600 \) and children \( =650 \)
B. Adults = 300 and children = 450
c. Adults \( =800 \) and children \( =700 \)
D. Adults \( =640 \) and children \( =800 \)
Subject: Physics
A coil of inductance 1 henry and
resistance \( 10 \Omega \) is connected to an ideal
battery of emf \( 50 \mathrm{V} \) at time \( t=0 \)

Calculate the ratio of the rate at which
magnetic energy is stored in the coil to the rate at which energy is supplied by the battery at \( t=0.1 \) sec.
A.
в. \( \frac{1}{e-1} \)
\( c \cdot_{1-\frac{1}{e}} \)
\( D \cdot \frac{1}{e} \)
Subject: Chemistry
Assertion
Bromine has a higher boiling point than chlorine.
Reason
Bromine has stronger dispersion forces than chlorine.
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 body starts from rest and moves with
a uniform acceleration. The ratio of the
distance covered in the \( n^{t h} \) second to
the distance covered in \( n \) seconds is
given by
A \( \cdot \frac{2}{n}-\frac{1}{n^{2}} \)
B. \( \frac{1}{n^{2}}-\frac{1}{n} \)
c. \( \frac{2}{n^{2}}-\frac{1}{n} \)
D. \( \frac{2}{n}+\frac{1}{n^{2}} \)
Subject: Biology
Match the following.
List-II List-I
(A) Simple squamous
(I) Ureters epithelium
(B) Simple cuboidal
(II) Epididymis epithelium
\( (C) \)
Non-ciliated simple
(III) Lining of columnar epithelium \( \quad \) alveoli of lungs
Lining of
(D) Transitional epithelium (IV) Li
thyro thyroid vesicles
\( (E) \)
Pseudostratified non-
(V) Mucosa of stomach ciliated columnar and epithelium intestine
\( \mathbf{A} \cdot A-(1), B-(11), C-(1 V), D-(111), E-(V) \)
B. \( A-(V), B-(111), C-(11), D-(I V), E-(1) \)
C \( \cdot A-(11), B-(1 V), C-(111), D-(V), E-(1) \)
D. \( A-(111), B-(I V), C-(V), D-(1), E-(11) \)
Subject: Maths
The function \( \boldsymbol{f}:(\boldsymbol{R}-\mathbf{0}) \rightarrow \mathbf{R} \) given by
\( f(x)=\frac{1}{x}-\frac{2}{e^{2 x}-1} \) can be made
continuous at \( x=0 \) by defining \( f(0) \) as
A . 2
B. - -
c. 0
\( D \)
Subject: Physics
Match items given in A suitably with
items given \( B \) and \( C \)
\begin{tabular}{|c|c|c|}
\hline \( \mathrm{A} \) & \( \mathrm{B} \) & \( \mathrm{C} \) \\
\hline Microphone & Sonar & Electrical energy gets convented to sund energy \\
\hline Ultra sonic sound & Permanent magnet & Sound energy gets converted to electrical energy Conventiennal source of energy \\
\hline CNG & Butane & Non-conventional source of energy \\
\hline
\end{tabular}
Subject: Maths
Which one of the following statements
is correct?
\( \mathbf{A} \cdot \) If \( g(x)(\neq 0) \) and \( f(x) \) are two polynomials \( \epsilon F(x), \) then there exists unique polynomials \( q(x) \) and \( r(x) \epsilon F(x) \) such that \( f(x)=g(x) q(x)+r(x), \) where deg. \( r(x)< \) \( \operatorname{deg} . g(x) \)
B. If \( g(x)(\neq 0) \) and \( f(x) \) are two polynomials \( \epsilon F(x) \), then there exists unique polynomials \( q(x) \) and \( r(x) \epsilon F(x) \) such that \( f(x)=g(x) q(x)+r(x), \) where deg. \( r(x) \leq \)
\( \operatorname{deg} . g(x) \)
C . If \( g(x)(\neq 0) \) and \( f(x) \) are two polynomials \( \epsilon F(x) \), then there exists unique polynomials \( q(x) \) and \( r(x) \epsilon F(x) \) such that \( f(x)=g(x) q(x)+r(x), \) where either \( r(x)=0 \)
or deg. \( r(x)<\operatorname{deg} . g(x) \)
D. If \( g(x)(\neq 0) \) and \( f(x) \) are two polynomials \( \epsilon F(x) \), then there exists unique polynomials \( q(x) \) and \( r(x) \epsilon F(x) \) such that \( f(x)=g(x) q(x)+r(x), \) where either \( r(x)=0 \) or deg. \( r(x)>\operatorname{deg} . g(x) \)
Subject: Maths
If \( \boldsymbol{A}+\boldsymbol{B}+\boldsymbol{C}=\boldsymbol{\pi}, \) then
\( \left|\begin{array}{ccc}\sin (\boldsymbol{A}+\boldsymbol{B}+\boldsymbol{C}) & \sin \boldsymbol{B} & \cos \boldsymbol{C} \\ \sin \boldsymbol{\theta} & \tan \boldsymbol{A} \\ \cos (\boldsymbol{A}+\boldsymbol{B}) & -\tan \boldsymbol{A} & \boldsymbol{0}\end{array}\right|= \)
Subject: Maths
The complex numbers \( \sin x+i \cos 2 x \)
and \( \cos x-i \sin 2 x \) are conjugate to
each other, for
A . \( x=n \pi \)
B. \( x=\left(n+\frac{1}{2}\right) \pi \)
c. \( x=0 \)
D. No value of \( x \)
Subject: Maths
A transversal intersects two parallel
lines. if the measure of one of the angle is \( 50^{0} \), then the measure of its
corresponding angle is
A \( \cdot 40^{\circ} \)
B. \( 130^{\circ} \)
\( c \cdot 180^{\circ} \)
D. \( 50^{\circ} \)