AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Balance the following redox reaction in
basic medium:
\( M n O_{4}^{-}+N O_{2}^{-} \longrightarrow M n O_{2}+N O_{3}^{-} \)
A \( \cdot 2 M n O_{4}^{-}+3 N O_{2}^{-}+H_{2} O \longrightarrow 2 M n O_{2}+3 N O_{3}^{-}+ \)
\( 2 O H^{-} \)
B . \( 2 M n O_{4}^{-}+4 N O_{2}^{-}+H_{2} O \longrightarrow M n O_{2}+3 N O_{3}^{-}+ \)
\( 5 O H^{-} \)
\( \mathrm{c} \cdot 2 \mathrm{Mn} \mathrm{O}_{4}^{-}+5 \mathrm{NO}_{2}^{-}+\mathrm{H}_{2} \mathrm{O} \longrightarrow \mathrm{MnO}_{2}+3 \mathrm{NO}_{3}^{-}+ \)
\( 5 O H^{-} \)
D. None of these
Subject: Physics
A body is constrained to move in the \( y \) direction. It is subjected to a force \( (-2 \hat{i}+15 \hat{j}+6 \hat{k}) \) Newton. The work done by this force in moving the body through a distance of \( 10 \mathrm{m} \) in positive \( y \) direction is:
A. 150
B. 60 J
\( c \ldots-20 J \)
D . - 150 J
Subject: Maths
\( \tan \left[\frac{\pi}{4}+\frac{1}{2} \cos ^{-1}\left(\frac{5}{7}\right)\right]+ \)
\( \cot \left[\frac{\pi}{4}+\frac{1}{2} \cos ^{-1}\left(\frac{5}{7}\right)\right] \) is equal to
\( A \cdot \frac{5}{7} \)
B. \( \frac{10}{7} \)
c. \( \frac{14}{5} \)
\( D \cdot \frac{7}{5} \)
Subject: Chemistry
Which of the following reactions of
Xenon compounds are not feasible?
\( \mathbf{A} \cdot 3 X e F_{4}+6 H_{2} O \longrightarrow 2 X e+X e O_{3}+12 H F+1.5 O_{2} \)
B \( \cdot 2 X e F_{2}+2 H_{2} O \longrightarrow 2 X e+4 H F+O_{2} \)
\( \mathbf{c} \cdot X e F_{6}+R b F \longrightarrow R b\left[X e F_{7}\right] \)
\( \mathbf{D} \cdot X e O_{3}+6 H F \longrightarrow X e F_{6}+3 H_{2} O \)
Subject: Chemistry
What is the volume of water consumed
during acid hydrolysis of \( 1.368 K g \) of
sucrose?
(Given - molar masses of sucrose \( =\mathbf{3 4 2} \)
water \( =18, \) density of water \( =1 g / c m^{3} \)
В. \( 0.720 d m^{3} \)
c. \( 0.18 d m^{3} \)
D. \( 0.018 d m^{3} \)
Subject: Chemistry
Select the incorrect statement among
the following:
\( \mathbf{A} \cdot \) the \( C-O-C \) bond angle in ether is \( 110^{0} \)
B. diethyl ether reacts with excess of HI to form ethyl iodide
C. ethers and alcohols are functional isomers
D. ethers are Lewis base hence do not react with bronsted
acid like \( H_{2} S O_{4} \)
Subject: Biology
In cloning of cattle, a fertilized egg is
taken out of the mother's womb and
A. The egg is divided into 4 pairs of cells which are implanted into the womb of other cows.
B. In the eight cell stage, cells are separated and cultured until small embryos are formed which are implanted into the womb of other cows
C. In the eight cell stage, the individual cells are separated under electrical field for further development in culture media.
D. From this, upto eight identical twins can be produced.
Subject: Maths
Q Type your question
the following information carefully and
answer the questions given below. The sub divided bar diagram given below depicts the result of Class XII students of a school for three years.
The number of students passed with
second class in 2000 is what percent of
number of students passed with first
class in 2002?
A. 50\%
B. 62.5\%
c. \( 45 \% \)
D. 70.5
Subject: Biology
Read the following statements:
(i) The sieve tube elements and
companion cells are connected by pit fields present between their common longitudinal walls.
(ii) Phloem parenchyma is made of elongated non-tapering cylindrical cells that have a scanty cytoplasm.
(iii) Phloem fibers are made of
parenchymatous cells.
(iv) Companion cells help in maintaining the pressure gradient in the sieve tube.
(v) The phloem parenchyma stores food material and other substances like
resins, latex, and mucilage.
How many of the given statements are
correct?
A. Three
в. Two
c. one
D. Four
Subject: Maths
Let \( t \) be a positive integer and \( \Delta_{t}= \) \( \left|\begin{array}{lll}\mathbf{2} t-1 & \boldsymbol{m}^{2}-\mathbf{1} & \cos ^{2}\left(\boldsymbol{m}^{2}\right) \\ \boldsymbol{m}_{C_{t}} & \mathbf{2}^{m} & \cos ^{2}(\boldsymbol{m}) \\ \mathbf{1} & \boldsymbol{m}+\mathbf{1} & \cos \left(\boldsymbol{m}^{2}\right)\end{array}\right| \) then the
value of \( \sum_{t=0}^{m} \Delta_{t} \) is equal to:
\( A \cdot 2^{m} \)
B.
\( \mathbf{c} \cdot 2^{m} \cos ^{2}\left(2^{m}\right) \)
D. \( m^{2} \)
Subject: Chemistry
Write the IUPAC name of the given
compound \( \boldsymbol{H}-\begin{array}{ccccc}\boldsymbol{H} & \boldsymbol{H} & \boldsymbol{H} & \boldsymbol{H} & \boldsymbol{H} \\ \boldsymbol{C} & - & \boldsymbol{C} & -\boldsymbol{C} & - & \boldsymbol{C} & -\boldsymbol{C} \\ \boldsymbol{H} & \boldsymbol{O} \boldsymbol{H} & \boldsymbol{H} & \boldsymbol{C H}_{3} & \boldsymbol{H}\end{array}-\boldsymbol{H} \)
Subject: Maths
If \( \cos \left(2 \sin ^{-1} x\right)=\frac{1}{9}, \) the value of \( x \)
which satify equation is \( \pm \frac{a}{b} . \) Find the value of \( a+b \)
A . 2
B. 3
\( c \cdot 4 \)
D.
Subject: Chemistry
In the equilibrium reaction, \( A+B \rightleftharpoons C+ \)
D, the activation energy for the forward
reaction is 25 kcal mole \( ^{-1} \) and that of
the backward reaction is 15 kcal mole \( ^{-1} \)
Which one of the following statements
is correct?
A. The reaction is exothermic
B. The reaction is endothermic
C. The reaction has \( \Delta H \) of 20 kcal mol-
D. Both \( A \) and \( C \)
Subject: Physics
In a hydraulic machine, a force of \( 2 N \) is
applied on the piston of area of cross
section \( 10 \mathrm{cm}^{2} \). What force is obtained
on its piston of area of cross section
\( 100 \mathrm{cm}^{2} ? \)
A. 20 N
B. 10 N
\( c \cdot 5 N \)
D. 40 N
Subject: Maths
Consider the conic \( e x^{2}+\pi y^{2}-2 e^{2} x- \)
\( 2 \pi^{2} y+e^{3}+\pi^{3}=\pi e . \) Suppose \( P \) is any
point on the conic and \( S_{1}, S_{2} \) are the
foci of the conic, then the maximum
value of \( \left(\boldsymbol{P S}_{1}+\boldsymbol{P S}_{2}\right) \) is
A \( . \pi e \)
в. \( \sqrt{\pi e} \)
\( c \cdot 2 \sqrt{\pi} \)
D. \( 2 \sqrt{e} \)
Subject: Chemistry
The correct expression for the rate of
reaction of elementary reaction, \( \boldsymbol{A}+ \)
\( B \rightarrow C \) is :
\( \mathbf{A} \cdot \frac{d[C]}{d t}=K[A] \)
\( \mathbf{B} \cdot \frac{d[C]}{d t}=K[B] \)
\( \mathbf{C} \cdot \frac{-d[A]}{d t}=K[A][B] \)
\( \mathbf{D} \cdot \frac{-d[A]}{d t}=K[A] \)
Subject: Maths
If \( f(x) \) and \( g(x) \) are two solutions of the differential equation \( a \frac{\mathrm{d}^{2} \mathbf{y}}{\mathbf{d x}^{2}}+\mathbf{x}^{2} \frac{\mathbf{d y}}{\mathbf{d x}}+ \)
\( \mathbf{y}=\mathbf{e}^{\mathbf{X}}, \) then \( f(\boldsymbol{x})-\boldsymbol{g}(\boldsymbol{x}) \) is the solution
of
A \( \cdot a^{\frac{d^{2} y}{d x^{2}}}+\frac{d y}{d x}+y=e^{x} \)
B. \( a^{2} \frac{d^{2} y}{d x^{2}}+y=e^{x} \)
\( ^{\mathbf{C}} \cdot \underset{\mathrm{d} \mathrm{x}^{2}}{\frac{\mathrm{d}^{2} \mathrm{y}}{\mathrm{d} \mathrm{x}}}+\mathrm{x}^{2} \frac{\mathrm{d} \mathrm{y}}{\mathrm{d}}=0 \)
D. \( a \frac{\mathrm{d}^{2} \mathrm{y}}{\mathrm{dx}^{2}}+\mathrm{y}=\mathrm{e}^{\mathrm{x}} \)
Subject: Chemistry
In the reaction between \( C l_{2} \) and hot
conc. NaOH, which is correct?
A. The oxidation number of \( C l_{2} \) changes from 0 to +5 and o to -
B. \( C l_{2} \) undergoes disproportionation
C. \( C l_{2} \) undergoes self or auto redox change
D. All of these
Subject: Maths
If \( z_{1} \) and \( z_{2} \) are complex numbers, prove
that \( \left|z_{1}+z_{2}\right|^{2}=\left|z_{1}\right|^{2}+\left|z_{2}\right|^{2} \) if and only
is \( z_{1} \bar{z}_{2} \) is pure imaginary.
Subject: Physics
In system called the star system we have 1 star kilogram \( =10^{20} k g .1 \)
starmeter \( =10^{8} m, 1 \) starsecond \( = \)
\( 10^{3} \)second then calculate the value of
1 joule in this system.
A \( \cdot 10^{-30} \) star joule
B . \( 10^{-27} \) star joule
C \( .10^{-32} \) star joule
D. None of these
Subject: Maths
State the following statement is True or False
The area bounded by the circle \( x^{2}+ \) \( \boldsymbol{y}^{2}=\mathbf{1}, \boldsymbol{x}^{2}+\boldsymbol{y}^{2}=\boldsymbol{4} \) and the pair of lines
\( \sqrt{3}\left(x^{2}+y^{2}\right)=4 x y, \) is equal to \( \frac{\pi}{2} . \) The
statement is true or false.
A. True
B. False
Subject: Maths
If \( p \) 's truth value is \( T \) and \( q^{\prime} \) s truth value
is \( F, \) then which of the following have
the truth value \( T \) ?
(i) \( p \vee q \)
(ii) \( \sim \boldsymbol{p} \vee \boldsymbol{q} \)
\( (\text { iii) } p \vee(\sim q) \)
\( (\text { iv }) p \wedge(\sim q) \)
A \( \cdot(i),(\text { ii) }, \) (iii)
B. (i), (iii), (iv)
c. (i), (ii), (iv)
D. (ii), (iii), (iv)
Subject: Chemistry
Which of the following has lowest boiling point?
A \( \cdot \mathrm{H}_{2} \mathrm{O} \)
в. \( \mathrm{H}_{2} \mathrm{s} \)
c. \( \mathrm{H}_{2} \mathrm{Se} \)
D. \( \mathrm{H}_{2} \mathrm{Te} \)
Subject: Physics
At what velocity does water emerge from an orifice in a tank in which gauge
pressure is \( 3 \times 10^{5} N m^{-2} \) before the flow starts?
(Take the density of water \( =1000 \mathrm{kg} \mathrm{m}^{-3} \)
.)
\( \mathbf{A} \cdot 24.5 m s^{-1} \)
B . \( 14.5 \mathrm{ms}^{-1} \)
c. \( 34.5 m s^{-1} \)
D. \( 44.5 \mathrm{ms}^{-1} \)
Subject: Physics
A car is moving on a circular level road of curvature \( 300 m \). If the coefficient of
friction is 0.3 and acceleration due to
gravity is \( 10 m / s^{2}, \) the maximum speed
of the car can be
A. \( 90 \mathrm{km} / \mathrm{h} \)
B. \( 81 \mathrm{km} / \mathrm{h} \)
\( c \cdot 108 \mathrm{km} / \mathrm{h} \)
D. \( 162 \mathrm{km} / \mathrm{h} \)
Subject: Physics
toppr
Q Type your question
that we receive from the sun is
transferred to us by a process which,
unlike conduction or convection, does
not require the help of a medium in the intervening space which is almost free of particles. Radiant energy travels in space as electromagnetic spectrum.
Thermal radiations travel through
vacuum with the speed of light. Thermal
radiations obey the same laws of
reflection and refraction as light does.
They exhibit the phenomena of interference, diffraction and
polarization as light does.
The emission of radiation from a hot
body is expressed in terms of that emitted from a reference body (called
the black body at the same
temperature. A black body absorbs and
hence emits radiations of all
wavelengths. The total energy E emitted
by a unit area of a black body per
second is given by \( \boldsymbol{E}=\boldsymbol{\sigma} \boldsymbol{T}^{4} \) where \( \boldsymbol{T} \) is
the absolute temperature of the body
and \( \sigma \) is a constant known as Stefan's
constant. If the body is not a perfect
black body, then \( E=\varepsilon \sigma T^{4} \) where \( \varepsilon \) is
the emissivity of the body.

The rate at which energy is radiated by
a body depends upon:
This question has multiple correct options
A. the surface area of the body
B. the temperature of the body
C. the nature of the surface of the body
D. the emissivity of the surface of the body
Subject: Chemistry
Standard molar enthalpy of combustion
of glucose is \( -2880 k J . \) If only \( 25 \% \) of energy is available for muscular work
and \( 1.0 k m \) walk consume \( 90 k J \) of
energy, what is the maximum distance
(in \( \mathrm{km} \) ) a person can walk after eating \( 90 g \) of glucose.
Subject: Chemistry
In which of the following pair of complexes, the experimental magnetic moment and the geometric shapes
same?
A \( \cdot K\left[M n O_{4}\right] \) and \( K_{2}\left[N i C l_{4}\right] \)
B. \( _{K_{2}\left[N i(C N)_{4}\right] \text { and } K_{4}\left[N i(C N)_{4}\right]} \)
c. \( _{K_{2}\left[N i(C N)_{4}\right] \text { and } K_{2}\left[N i\left(N H_{3}\right)_{2} C l_{2}\right]} \)
D. \( _{K_{3}\left[F e(C N)_{6}\right] \text { and } K_{4}\left[F e(C N)_{6}\right.} \)
Subject: Maths
In the rhombus \( A B C D, A C \) and \( B D \) are the diagonals. If the diagonals are \( 16 \mathrm{cm} \) and \( 12 \mathrm{cm} . \) Find the length of each of its sides.
\( A \cdot 10 \mathrm{cm} \)
B. 12 \( \mathrm{cm} \)
\( c \cdot 9 \mathrm{cm} \)
D. \( 8 \mathrm{cm} \)
Subject: Biology
Which of the following is a correct comparison between mitosis and
meiosis?
A. Meiosis II resembles mitosis when sister chromatids
split
B. Both prophase of mitosis and meiosis include pairing up of homologous chromosomes
C. In mitosis, aligning of maternal and paternal chromosomes can be random whereas, in meiosis, the alignment is fixed
D. Replication of chromosomes occurs at the start of mitosis and meiosis during prophase
Subject: Physics
A force is applied to box of mass \( 4 \mathrm{kg} \) and it changes the velocity from \( 3 \mathrm{m} / \mathrm{s} \) to \( 6 \mathrm{m} / \mathrm{s} \) in \( 8 \mathrm{s} \). Determine the work done
by force during the this process.
A . 27 J
B. 54 J
c. 72 J
D. 96 J
E. cannot be determined from the information given
Subject: Maths
In a triangle \( A B C, \) the co-ordinates of
vertices \( A, B \) and \( C \) are (4,7),(-2,3)
and (0,1) respectively. find the
equation of median through vertex \( \boldsymbol{A} \) Also, find the equation of the line
through vertex \( B \) and parallel to \( A C \)
Subject: Chemistry
What is the correct representation of
solubility product of \( A g_{2} C r O_{4} ? \)
A \( \cdot\left[A g^{+}\right]^{2}\left[C r O_{4}^{-2}\right] \)
B \( \cdot\left[A g^{+}\right]\left[C r O_{4}^{-2}\right] \)
c. \( \left[2 A g^{+}\right]\left[C r O_{4}^{-2}\right] \)
D. \( \left[2 A g^{+}\right]^{2}\left[C r O_{4}^{-2}\right] \)
Subject: Physics
Two particles of masses \( m_{1} \) and
\( \boldsymbol{m}_{2}\left(\boldsymbol{m}_{1}>\boldsymbol{m}_{2}\right), \) initially at rest, move
towards each other under an inverse
square law force of attraction. Pick out
the correct statement about the centre
of mass (CM) ofthe system
A. The CM moves towards \( m_{1} \)
B. The CM moves towards \( m_{2} \)
c. The CM remains at rest
D. The motion of CM is accelerated
Subject: Physics
A spring wrapped on a wheel of MOI 0.2
\( \mathrm{kg} \mathrm{m}^{2} \) and radius \( 10 \mathrm{cm} \) over a light
pulley to support a block of mass \( 2 \mathrm{kg} \) as shown in fig. Find the acceleration of the block.
A \( \cdot 0.89 \mathrm{ms}^{-2} \)
B. \( 1.12 \mathrm{ms}^{-2} \)
\( c \cdot 0.69 \mathrm{ms}^{-2} \)
D. none
Subject: Maths
Sum of the first \( p, q \) and \( r \) terms of an
A.P. are \( a, b \) and \( c, \) respectively. Prove that \( \frac{\boldsymbol{a}(\boldsymbol{q}-\boldsymbol{r})}{\boldsymbol{p}}+\frac{\boldsymbol{b}(\boldsymbol{r}-\boldsymbol{p})}{\boldsymbol{q}}+ \)
\( \frac{c(p-q)}{r}=0 \)
Subject: Maths
State true or false.
Given universal set= \( = \) \( \left\{-\mathbf{6},-\mathbf{5} \frac{\mathbf{3}}{\mathbf{4}},-\sqrt{\mathbf{4}},-\frac{\mathbf{3}}{\mathbf{5}},-\frac{\mathbf{3}}{\mathbf{8}}, \mathbf{0}, \frac{\mathbf{4}}{\mathbf{5}}, \mathbf{1}, \mathbf{1} \frac{\mathbf{2}}{\mathbf{3}}\right. \)
From the given set, find set of non-
negative integers is \{0,1\}
A. True
B. False
Subject: Maths
The interval a for which the local
minimum value of the function \( \boldsymbol{f}(\boldsymbol{x})= \) \( 2 x^{3}-21 x^{2}+60 x+a \) is positive. is
в. \( (-\infty,-25) \)
c. \( (25, \infty) \)
D. \( (-25, \infty) \)
Subject: Physics
In terms of potential difference \( V \)
electric current I, permittivity \( \varepsilon_{0} \)
permeability \( \mu_{0} \) and speed of light \( c, \) the dimensionally correct equation(s) is(are).
This question has multiple correct options
A \( \cdot \mu_{0} I^{2}=\varepsilon_{0} V^{2} \)
В \( \cdot \varepsilon_{0} I=\mu_{0} V \)
c. \( I=\varepsilon_{0} c V \)
D. \( \mu_{0} c l=\varepsilon_{0} V \)
Subject: Physics
A \( T \) shaped object with dimensions
shown in fig, is lying on smooth floor. \( \mathbf{A} \) force \( F \) is applied at point \( P \) parallel to
AB such that the object has only translation motion without rotation.
Find location of \( \boldsymbol{P} \) from \( \boldsymbol{C} \)
A \( \cdot \frac{2}{3} l \)
в. \( \frac{3}{2} l \)
\( c \cdot \frac{4}{3} l \)
D.
Subject: Chemistry
A mixture of \( \boldsymbol{H}_{2} \boldsymbol{O} \) and solid \( \boldsymbol{A} \boldsymbol{g} \boldsymbol{C l} \)
shaken to obtain saturated solution.
The solid is filtered and to \( 100 m L \)
filtrate, \( 100 m L \) of \( 0.03 M N a B r \) is added, will a precipitate formed? \( \boldsymbol{K}_{s p} \boldsymbol{A} \boldsymbol{g} \boldsymbol{C l}=\mathbf{1 0}^{-10}, \boldsymbol{K}_{s p} \boldsymbol{A} \boldsymbol{g} \boldsymbol{B r}=\mathbf{5} \times \)
\( \mathbf{1 0}^{-13} \)
Subject: Chemistry
In the hydrogen atom, the energy difference between the states \( n=2 \) and
\( n=3 \) is \( \mathrm{E} \) eV. The ionisation potential of \( \mathrm{H} \)
atom is:
A. 3.2
в. 5.6 Е
\( c \cdot 7.2 E \)
D. 13.2 E
Subject: Physics
The waveforms of a light wave traveling
in vacuum are given by \( \boldsymbol{x}+\boldsymbol{y}+\boldsymbol{z}=\boldsymbol{c} \)
The angle made by the direction of propagation of light with the \( X \) -axis is
A \( \cdot 0^{\circ} \)
B \( \cdot 45^{\circ} \)
\( c \cdot 90^{\circ} \)
D. \( \cos ^{-1} \frac{1}{\sqrt{3}} \)
Subject: Chemistry
On analysis, a certain compound was
found to contain 254 g of iodine and 80
g of oxygen. The formula of the compound is:
A . \( I O \)
B. \( I_{2} O \)
\( \mathrm{c} \cdot I_{5} \mathrm{O}_{3} \)
D. \( I_{2} O_{5} \)
Subject: Chemistry
Assertion
The heat absorbed during the isothermal expansion of an ideal gas against vacuum is zero.
Reason
The volume occupied by the molecules of an ideal gas is zero.
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
Let \( z_{1}=2-i, z_{2}=-2+i \)
Find
(i) \( \operatorname{Re}\left(\frac{z_{1} z_{2}}{\overline{z_{1}}}\right) \)
(ii) \( \operatorname{Im}\left(\frac{1}{z_{1} \overline{z_{1}}}\right) \)
Subject: Physics
A solenoid has a core of a substance
with relative permeability \( 600 . \) What is the magnetic permeability of the given substance?
A \( \cdot 20 \pi \times 10^{-5} N A^{-2} \)
B. \( 21 \pi \times 10^{-5} N A^{-2} \)
c. \( 22 \pi \times 10^{-5} N A^{-2} \)
D. \( 24 \pi \times 10^{-5} N A^{-2} \)
Subject: Maths
In the figure, \( A P=3 \mathrm{cm}, A R= \)
\( 4.5 \mathrm{cm}, A Q=6 \mathrm{cm}, A B=5 \mathrm{cm}, \) and
\( A C=10 \mathrm{cm} . \) Find the length (in \( \mathrm{cm} \) ) of
\( \boldsymbol{A D} \)
Subject: Maths
Area bounded by the curves \( \frac{y}{x}=\log x \) and \( \frac{\boldsymbol{y}}{\mathbf{2}}=-\boldsymbol{x}^{2}+\boldsymbol{x} \) equals:
A. 7/12
B. 12/7
\( c \cdot 7 / 6 \)
D. 6/7
Subject: Physics
The kinetic energy possessed by a body with mass \( m \) and moving with a velocity \( v \) at a height \( h \) is given by
\( A \cdot m g h \)
B. \( m v^{2} \)
c. \( \frac{1}{2} m g h \)
D. \( \frac{1}{2} m v^{2} \)
Subject: Physics
A uniform magnetic field is restricted
within a region of radius \( r . \) The
magnetic field changes with time at a rate \( \frac{d \vec{B}}{d t} . \) Loop 1 of radius \( R>r \) enclose the region \( r \) and loop 2 of radius \( R \) is
outside the region of magnetic field as shown in the figure below. Then the
e.m.f. generated is :
\( A \)
B. Zero in loop 1 and zero in loop 2
c. \( \quad \frac{d \vec{B}}{d t} \pi r^{2} \) in loop 1 and \( -\frac{d \vec{B}}{d t} \pi r^{2} \) in loop 2
D. \( -\frac{d \vec{B}}{d t} \pi R^{2} \) in loop 1 and zero in
Subject: Physics
In YDSE of equal width slits, if intensity
at the centre of screen is \( I_{0}, \) then
intensity at a distance of \( \beta / 4 \) from the
central maxima is \( (\beta \) is the fringe
width) :
A \( \cdot I_{0} \)
в. \( \frac{I_{0}}{2} \)
c. \( \frac{I_{0}}{4} \)
D. \( \frac{I_{0}}{3} \)
Subject: Maths
If \( f(x)=\left\{\begin{array}{cl}a x+3, & x \leq 2 \\ a^{2} x-1, & x>2\end{array}, \) then the \right.
values of \( a \) for which \( f \) is continuous for
all \( x \) are
A. 1 and -2
B. 1 and 2
c. -1 and 2
D. -1 and -2
E. 0 and 3
Subject: Physics
A: The corpuscular theory fails in explaining the velocities of light in air and water.
B: According to corpuscular theory, the light should travel faster in a 'denser medium than in a rarer medium.
A. If both A and B are true but the B is the correct explanation of A
B. If both A and B are true but the B is not the correct explanation of A
c. If A is true but B is false
D. If both the A and B are false
E. If B is true but A is false
Subject: Chemistry
CO is isostructural with
This question has multiple correct options
\( \mathbf{A} \cdot \operatorname{Sn} C l_{2} \)
\( \mathbf{B} \cdot H g C l_{2} \)
\( \mathbf{c} \cdot S C l_{2} \)
\( \mathbf{D} \cdot Z n I_{2} \)
Subject: Chemistry
Assertion
Vitamin D cannot be stored in our body.
Reason

Vitamin D is fat soluble vitamin and is
excreted out of the body with urine.
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
Figure shows three spherical and
equipotential surfaces \( A, B \) and \( C \)
around a point charge \( q . \) The potential
difference \( \boldsymbol{V}_{\boldsymbol{A}}-\boldsymbol{V}_{\boldsymbol{B}}=\boldsymbol{V}_{\boldsymbol{B}}-\boldsymbol{V}_{\boldsymbol{C}} . \) If \( \boldsymbol{t}_{1} \)
and \( t_{2} \) be the distances between them,
then :
\( \mathbf{A} \cdot t_{1}=t_{2} \)
в. \( t_{1}>t_{2} \)
c. \( t_{1}<t_{2} \)
\( \mathbf{D} \cdot t_{1} \leq t_{2} \)
Subject: Physics
A parallel plate capacitor with air between the plates is charged to a potential difference of \( 500 V \) and then
insulated. A plastic plate is inserted between the plates filling the whole gap. The potential difference between the plates now becomes \( 75 V . \) The dielectric
constant of plastic is :
A \( .10 / 3 \)
B. 5
\( c \cdot 20 / 3 \)
D. 10
Subject: Physics
For a wave displacement amplitude is
\( 10^{-8} m, \) density for air \( 1.3 k g . m^{-3} \)
velocity in air \( 340 m^{-1} \) and frequency is
\( 2000 H z . \) The average intensity of wave
is
A \( \cdot 5.3 \times 10^{-4} \mathrm{Wm}^{-2} \)
B. \( 5.3 \times 10^{-5} \mathrm{Wm}^{-2} \)
c. \( 5.3 \times 10^{-8} \mathrm{Wm}^{-2} \)
D. \( 5.3 \times 10^{-6} \mathrm{Wm}^{-2} \)
Subject: Chemistry
An aqueous solution of glucose is \( 10 \% \) (w/v). The volume in which 1 mole of glucose is dissolved, will be:
\( \mathbf{A} \cdot 180 \mathrm{L} \)
B. 91 L
c. \( 0.91 \mathrm{L} \)
D. 1.8 L
Subject: Chemistry
One ampere of current is passed for
9650 seconds through molten \( A l C l_{3} \)
What is the weight in grams of \( \boldsymbol{A l} \) deposited at cathode? (Atomic weight of \( A l=27 \) )
A . 0.9
в. 9.
c. 0.09
D. 90.0
Subject: Chemistry
Calculate hydrolysis constant for 0.01
(N) solution of \( \boldsymbol{C} \boldsymbol{H}_{3} \boldsymbol{C} \boldsymbol{O}_{2} \boldsymbol{N} \boldsymbol{a}\left(\boldsymbol{K}_{\boldsymbol{a}} \) for \right.
\( \boldsymbol{C H}_{3} \boldsymbol{C O}_{2} \boldsymbol{H}=\mathbf{1 . 8} \times \mathbf{1 0}^{-\mathbf{5}} \mathbf{)} \)
Subject: Chemistry
The following reactions take place during the extraction of copper from copper ore:
(a) \( 2 C u_{2} S(l)+3 O_{2}(g) \rightarrow \)
\( 2 C u_{2} O(l) 2 C u_{2} O(l)+2 S O_{2}(g) \)
(b) \( 2 C u_{2} O(l)+C u_{2} S(l) \rightarrow 6 C u(l)+ \)
\( S O_{2}(g) \)
If \( C u_{2} O \) and \( C u_{2} S \) act as oxidising and
reducing agent respectively in reaction
(b) then enter 1 else 0.
Subject: Biology
Assertion
The proton gradient results in
movement of protons across the
membrane to stroma through the
transmembrane channel of the \( F_{0} \) of the
ATPase.
Reason
This proton gradient leads to release of
energy
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect