AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
Spherical balls of radius \( \boldsymbol{R} \) are failing
in a viscous fluid of viscosity \( \eta \) with a
velocity \( v . \) The retarding viscous force
acting on the spherical ball is
A. directly proportional to \( R \) but inversely proportional to
\( v \)
B. directly proportional to both radius \( R \) and velocity \( v \).
c. inversely proportional to both radius \( R \) and velocity \( v \)
D. inversely proportional to \( R \) but inversely proportional to \( v \)
Subject: Chemistry
Imagine an atom made up of a proton and a hypothetical particle of double
the mass of the electron but having the same charge as the electron. Apply the Bohr atomic model and consider all
possible transitions of this hypothetical particle to the first excited level. The largest wavelength photon that will be emitted has wavelength \( \lambda \) (given in
terms of the Rydberg constant \( R \) for the hydrogen atom) is equal to:
A \( \frac{9}{5 R} \)
в. \( \frac{36}{5 R} \)
c. \( \frac{18}{5 R} \)
D.
Subject: Maths
The function \( \boldsymbol{f}:\left[-\frac{\mathbf{1}}{\mathbf{2}}, \frac{\mathbf{1}}{\mathbf{2}}\right] \rightarrow\left[-\frac{\boldsymbol{\pi}}{\mathbf{2}}, \frac{\boldsymbol{\pi}}{\mathbf{2}}\right] \)
defined by \( \sin ^{-1}\left(3 x-4 x^{3}\right) \) is
A. both one-one onto
B. onto but not one-one
c. one-one but not onto
D. niether one-one nor onto
Subject: Chemistry
The aqueous solution of the salt will
colored in the case of:
This question has multiple correct options
\( \mathbf{A} \cdot Z n\left(N O_{3}\right)_{2} \)
в. \( \operatorname{LiNO}_{3} \)
\( \mathrm{c} \cdot \mathrm{Co}\left(\mathrm{NO}_{3}\right)_{2} \)
D. \( C r C l_{3} \)
Subject: Physics
There is \( 900 \mathrm{mA} \) of current through a wire with 40 turns. What is the
reluctance of the circuit if the flux is
\( 400 \mu \mathrm{Wb} ? \)
A \( .14,400 A t / W b \)
в. \( 1,440 A t / W b \)
c. \( 9,000 A t / W b \)
D. \( 90,000 A t / W b \)
Subject: Maths
If \( x \sin y=\sin (y+a) \) and \( \frac{d y}{d x}= \)
\( \frac{A}{1+x^{2}-2 x \cos a} \) then the value of \( A \) is
\( A \cdot 2 \)
B. \( \cos a \)
\( c .-\sin a \)
D. - -
Subject: Physics
A boy of height \( 1.5 m \) with his eye leve
at \( 1.4 m \) stands before a plane mirror of
length \( 0.75 m \) fixed on the wall. The
height of the lower edge of the mirror above the floor is \( 0.8 m . \) Then
A. the boy will see his full image
B. the boy cannot see his hair
c. the boy cannot see his feet
D. the boy can neither see his hair nor his feet
Subject: Chemistry
The equilibrium constant \( K \) for the
reaction \( : 2 H I(g) \rightleftharpoons H_{2}(g)+I_{2}(g) \) at
room temperature is 2.85 and that at \( 698 K \) is \( 1.4 \times ! 0^{-2} . \) This implies that
the forward reaction is:
A. exothermic
B. endothermic
c. slow
D. unpredictable
Subject: Maths
A manufactures purchases a second
hand machine for \( R s .60000 \) and
spends some amount towards repairs
then its value goes up to \( R s .90000 . \) If depreciation is \( 10 \% \) per annum, what will be the value of the machine after
two years?
(a) \( R s .48600 \)
(b) \( R s .81000 \)
Subject: Physics
Consider a track having frictional
coefficient \( \mu . A \) block of mass \( m \) is released from point \( \boldsymbol{P} \) situated at
height \( h . \) Which of the following is
correct?
A. It can reach at \( V \)
B. It cannot reach at \( V \)
c. It can reach at \( V \), if \( \mu \) is reduced to \( \mu / 2 \)
D. It can reach at \( V \), if \( \mu \) is increased to \( 2 \mu \)
Subject: Chemistry
\( B F_{3} \) and \( N F_{3} \) both molecules are
covalent, but \( B F_{3} \) is non-polar and \( N F_{3} \)
is polar. Its reason is:
A. in uncombined state boron is metal and nitrogen is gas
B. \( B-F \) bond has no dipole moment whereas \( N-F \) bond has dipole moment.
C. The size of boron atom is smaller than nitrogen
D. \( B F_{3} \) is planar whereas \( N F_{3} \) is pyramidal
Subject: Physics
A mass of \( 2 k g \) rests on an inclined
planes of gradient 1 in 8 as shown. The work done in sliding it from the lowest point of the inclined to the highest
point, if the coefficient of friction is 0.2
is -
A. \( 192 J \)
B. \( 19.2 \mathrm{J} \)
c. \( 48 J \)
D . \( 52 J \)
Subject: Maths
The following table gives production yield per hectare wheat of 100 farms of a village.
\( \begin{array}{llll}\text { production } & \mathbf{5 0}- & \mathbf{5 5}- & \mathbf{6 0}- \\ \text { of fields } & \mathbf{5 5} & \mathbf{6 0} & \mathbf{6 5}\end{array} \)
Numbers of
farms 2
Change the distribution to a more than type distribution and its ogive.
Subject: Biology
Assertion
Carbohydrates are most suitable for the
production of energy in the body than protein and fats.
Reason
Carbohydrates can be stored in the tissues as glycogen and can be used for production of energy whenever
necessary.
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
After contact with first sphere, sphere \( C \) is brought in contact with the second sphere then find the charge left on
sphere B.
A \( \cdot 4.87 \times 10^{-7} C \)
B. \( 0 C \)
c. \( 6.5 \times 10^{-7} C \)
D. \( 3.25 \times 10^{-7} C \)
Subject: Chemistry
Compound \( \quad \Delta \boldsymbol{H}_{t}(\boldsymbol{k} c a l / \boldsymbol{m o l}) \) \( H_{2} O(g) \) \( C_{2} H_{4}(g) \) 5
\( C O_{2}(g) \) -94.1
What is the heat of combustion of
one mole of \( \boldsymbol{C}_{2} \boldsymbol{H}_{4} \) ?
A . \( +316.3 \mathrm{kcal} \)
B . -12.5 kcall
c. -291.3 kcal
D. - 374.1 kcal
E . \( -57.8 \mathrm{kcal} \)
Subject: Chemistry
In a fuel cell, hydrogen and oxygen react to produce electricity. In the process, hydrogen gas is oxidized at anode and
oxygen at cathode. If 67.2 L of \( H_{2} \) at STP
reacts in 15 min, the average current (in \( A \) ) produced is :
Anode reaction \( : H_{2}+2 \stackrel{\ominus}{O} H \rightarrow 2 H_{2} O+ \)
\( 2 e^{-} \)
Cathode reaction \( : \boldsymbol{O}_{2}+\mathbf{2} \boldsymbol{H}_{2} \boldsymbol{O}+ \)
\( 2 e^{-} \rightarrow 4^{\ominus} \)
(write your answer to nearest integer)
Subject: Maths
Assertion
If \( \boldsymbol{y}= \)
\( (1+x)\left(1+x^{2}\right)\left(1+x^{4}\right) \ldots\left(1+x^{2^{n}}\right) \)
then \( \frac{d y}{d x} \) at \( x=0 \) is 1
Reason
\( y=\frac{1-x^{2^{n+1}}}{1-x} \)
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
Find the measure of all the angles of a
parallelogram, if one angle is \( 24^{\circ} \) less than twice the smallest angle.
A \( \cdot 68^{\circ}, 112^{\circ}, 68^{\circ}, 112^{\circ} \)
B . \( 48^{\circ}, 72^{\circ}, 48^{\circ}, 72^{\circ} \)
c. Insufficient data
D. None of these
Subject: Physics
The line \( A A^{\prime} \) is on a changed infinite conducting plane which is perpendicular to the plane of the paper. The plane has a surface density of
charge \( \sigma \) and \( \mathrm{B} \) is a ball of mass \( \mathrm{m} \) with
a like charge of magnitude \( q . B \) is connected by a string from a point on the line \( A A^{\prime} . \) The tangent of the angle \( (\theta) \) formed between the line \( A A^{\prime} \) and the
string is:
A \( \cdot \frac{q \sigma}{2 \epsilon_{c} m g} \)
В . \( \frac{q \sigma}{4 \pi \epsilon \theta} m g \)
c. \( \frac{q \sigma}{2 \pi \epsilon m g} \)
D. \( \frac{q \sigma}{\epsilon_{0} m g} \)
Subject: Maths
If a line makes angles \( \alpha, \beta, \gamma \) and \( \delta \) with
the diagonals of a cube, Then, \( \cos ^{2} \alpha+ \) \( \cos ^{2} \beta+\cos ^{2} \gamma+\cos ^{2} \delta=\frac{a}{b}, \) where \( a \)
and \( b \) are in lowest form, find \( a+b \)
\( A \cdot 7 \)
B. 6
c. 8
D. None of these
Subject: Maths
If \( \boldsymbol{A}=\left[\boldsymbol{a}_{i j}\right] \) is a scalar matrix of order
\( \boldsymbol{n} \times \boldsymbol{n} \) such that \( \boldsymbol{a}_{\boldsymbol{i} j}=\boldsymbol{k} \) for all then
trace of \( A \) is equal to
\( A \cdot n k \)
в. \( n+k \)
c. \( n / k \)
D. none of these
Subject: Physics
If speed(V), acceleration(A) and force(F) are considered as fundamental units,
the dimension of Young's modulus will
be?
A. \( V^{-2} A^{2} F^{2} \)
a \( \cdot F^{-2} F^{-} \)
В. \( V^{-4} A^{2} F \)
c. \( V^{-4} A^{-2} F \)
D. \( V^{-2} A^{2} F^{-2} \)
Subject: Maths
If \( f(x) \) satisfies Rolles theorem for \( f(x) \) in \( [\boldsymbol{a}, \boldsymbol{b}] \) then \( \int_{a}^{\boldsymbol{b}} \boldsymbol{f}^{\prime}(\boldsymbol{x}) \boldsymbol{d} \boldsymbol{x}= \)
\( \mathbf{A} \cdot f(b)+f(a) \)
B . \( f(a) \)
\( c \cdot f(b) \)
D.
Subject: Physics
The waves are represented by the following equations
\( \boldsymbol{y}_{1}=\mathbf{5} \sin 2 \boldsymbol{\pi}(\mathbf{1 0} \boldsymbol{t}-\mathbf{0 . 1} \boldsymbol{x}) \)
\( \boldsymbol{y}_{2}=\mathbf{1 0} \sin 2 \pi(\mathbf{2 0} \boldsymbol{t}-\mathbf{0 . 2} \boldsymbol{x}) \)
Ratio of intensities \( \frac{\boldsymbol{I}_{2}}{\boldsymbol{I}_{1}} \) will be :
\( \mathbf{A} \cdot \mathbf{1} \)
B. 2
\( c \cdot 4 \)
D. 16
Subject: Physics
Assertion
Time taken by the bomb to reach the ground from a moving aeroplane depends on height of aeroplane only.
Reason
Horizontal component of velocity of the bomb remains constant and vertical
component of bomb changes due to gravity.
A. Both Assertion and Reason are true and the Reason is correct explanation of the Assertion.
B. Both Assertion and Reason are true, but Reason is not correct explanation of the Assertion.
C. Assertion is true, but the Reason is false
D. Assertion is false, but the Reason is true.
Subject: Physics
If the linear momentum of a particle is \( 2.2 \times 10^{4} k g m s^{-1}, \) then what will be its
de-Broglie wavelength ? (Take hr. 6.6 \( x \) \( \left.10^{-34} J s\right) \)
A \( \cdot 3 \times 10^{-29} \mathrm{m} \)
B. \( 3 \times 10^{-29} \) о \( m \)
c. \( 6 \times 10^{-29} \mathrm{m} \)
D. \( 6 \times 10^{-29} \) и \( m \)
Subject: Maths
Show that:
\[
\tan ^{-1}\left(\frac{\sqrt{1+x}-\sqrt{1-x}}{\sqrt{1+x}+\sqrt{1-x}}\right)=\frac{\pi}{4}
\]
\( \frac{1}{2} \cos ^{-1} x,-\frac{1}{\sqrt{2}} \leq x \leq 1 \)
Subject: Physics
A potentiometer is connected between and B and the balance point is obtained
at \( 203.6 \mathrm{cm} . \) When the end of the
potentiometer connected to B is shifted to \( C, \) then the balance point is obtained
at \( 24.6 \mathrm{cm} . \) If now the potentiometer be connected between \( \mathrm{B} \) and \( \mathrm{C} \), the balance
point will be at:
A. \( 179.0 \mathrm{cm} \)
В. \( 197.2 \mathrm{cm} \)
c. \( 212.0 \mathrm{cm} \)
D. \( 228.0 \mathrm{cm} \)
Subject: Physics
Magnetic field intensity of a shot magnet at a distance \( 1 \mathrm{m} \). on axial line
is 1 Oersted. At a distance \( 2 \mathrm{m} \). on the
same line the intensity in Oersted is
then :-
A . 0.75
B. 0.125
\( c .0 .25 \)
D. 0.5
Subject: Chemistry
Complete and balance the following
compound. Acidic solution of \( F e^{2+} \) ion gives a brown ring when it comes in
contact with \( N O^{-} 3 \) ion. Complete the
following reaction of this process.
\[
\begin{array}{l}
{\left[\boldsymbol{F e}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{6}\right]^{2+}+\boldsymbol{N} \boldsymbol{O}_{3}^{-}+\boldsymbol{H}^{+} \rightarrow} \\
------+\left[\boldsymbol{F} e\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{6}\right]^{3+}+\boldsymbol{H}_{2} \boldsymbol{O}
\end{array}
\]
Subject: Maths
\( \boldsymbol{R}=\lim _{\boldsymbol{x} \rightarrow \mathbf{0}^{+}} \boldsymbol{f}(\boldsymbol{x}) \) is equal to
A \( \cdot \frac{\pi}{2} \)
в. \( \frac{\pi}{2 \sqrt{2}} \)
c. \( \frac{\pi}{\sqrt{2}} \)
D. \( \sqrt{2} \pi \)
Subject: Biology
Match the following colums.
\begin{tabular}{ll|ll} 
& Column I & & Columns II \\
A. & Polyuria & 1. & WBCs pus in urine \\
B. & Pyuria & 2. & High level of uric acid in blood \\
C. & Gout & 3. & Excess of urine output \\
D. & Haematuria & 4. & Presence of blood (RBCs) in urine
\end{tabular}
\( \mathbf{A} \)
B. \( A-2, B-3, C-1, D-4 \)
C. \( A-1, B-2, C-3, D-4 \)
D. \( A-4, B-3, C-2, D-1 \)
Subject: Chemistry
Chlorine is the main factor to damage ozone layer. CFC is considered
responsible for \( 80 \% \) of total decrease in
ozone layer. If the pollution in the atmosphere increases, which of the following is possible in future?
P. The ice at poles will melt and all the organisms will die living at the island.
Q. Many organisms living at island may migrate.
R. The existence of forests on the Earth
will be no more.
A . Only Q
B. Only P and Q
c. All P, Q and R
D. only Q and R
Subject: Physics
A particle of mass \( m \) moving with a velocity \( (3 \hat{\hat{i}}+2 \hat{j}) m s^{-1} \) collides with stationary body of mass \( M \) and finally moves with a velocity \( (-2 \hat{i}+\hat{j}) m s^{-1} \) If \( \frac{M}{m}=\frac{1}{13}, \) then:
A \( \cdot \) the impuse received by \( M \) is \( m(5 \hat{i}+\hat{j}) \)
B. The velocity of the \( M \) is \( \frac{1}{13}(5 \hat{i}+\hat{j}) \)
c. the coefficient of restitutions \( \frac{11}{17} \)
D. All of the above are correct
Subject: Physics
Two liquids of specific heat ratio 1: 2
are at temperature \( 2 \theta \) and \( \theta \)
This question has multiple correct options
A. if equal amounts of them are mixed, then temperature of mixture is 1.56
B. if equal amounts of them are mixed,then temperature is \( \frac{4}{3} \theta \)
C. for their equal amounts, the ratio of heat capacities is 1: 1
D. For their equal amounts, the ratio of their heat capacities is 1: 2
Subject: Chemistry
Select correct order of sizes of different
species.
\( \mathbf{A} \cdot Z r=H f ; N b=T a ; F e=C o=N i \)
B \( \cdot Z r^{4+}<Z r ; N b^{3+}<T a^{3+}, F e^{3+}<F e^{2+}<F e \)
\( \mathbf{c} \cdot Z r^{4+}=H f^{4+} ; N b^{3+}=T a^{3+} ; F e<C o<N i \)
D. \( Z r^{4+}<H f^{4+} N b^{3+}=T a^{3+}, N i<C u<C o \)
Subject: Chemistry
Which of the following is outer orbital complex?
\( \mathbf{A} \cdot\left[C o F_{6}\right]^{-3} \)
B. \( \left[C u\left(H_{2} O\right)_{6}\right]^{+2} \)
C. \( \left[\operatorname{Co}\left(N H_{3}\right)_{6}\right]^{+2} \)
D. All
Subject: Chemistry
The IUPAC name of the given compound
is :
A. 3-Bromo-5-chloro-1-methylcyclohexanol
B. 5-Bromo-3-chloro-1-methyl-cyclohexanol
C. 1-Bromo-5-chloro-3-methyl-3-cyclohexanol
D. 5-Bromo-1-chloro-3-methyl-3-cyclohexanol
Subject: Physics
A car is going with a linear momentum
p. When brakes are applied, it comes to
a stop in a distance \( s \). If the same car
were going with a linear momentum \( 2 p \) and the brakes are applied, it comes to a stop in a distance of (assume that the
brake force is same in the two cases)
\( \mathbf{A} \cdot 2 s \)
B.
c. \( 4 s \)
D.
Subject: Maths
The S.D of a variable \( x \) is \( \sigma . \) The S.D of the variate \( \frac{\boldsymbol{a} \boldsymbol{x}+\boldsymbol{b}}{\boldsymbol{c}} \) where \( \boldsymbol{a}, \boldsymbol{b}, \boldsymbol{c} \) are
constant, is
A \( \cdot\left(\frac{a}{c}\right) \sigma \)
В. \( \left|\frac{a}{c}\right| \sigma \)
\( ^{\mathrm{c}} \cdot\left(\frac{a^{2}}{c^{2}}\right) \sigma \)
D. none of these
Subject: Maths
In the given figure, \( \boldsymbol{A} \boldsymbol{E} \| \boldsymbol{D} \boldsymbol{B}, \boldsymbol{B C}= \)
\( \mathbf{7} \boldsymbol{c m}, \boldsymbol{B} \boldsymbol{D}=\mathbf{5} \boldsymbol{c m}, \boldsymbol{D} \boldsymbol{C}=\mathbf{4} \boldsymbol{c m} . \) If \( \boldsymbol{C} \boldsymbol{E}= \)
\( 12 c m, \) find \( A E \) and \( A C \)
Subject: Chemistry
In a hydrogen atom, the energy of an electron in an orbit is -3.4 eV. When it is
excited to the next higher energy level and comes back to ground state, calculate the wave length of emitted
radiation.
\( \mathbf{A} \cdot 9 \times 10^{-7} m \)
В. \( 9 \times 10^{-9} m \)
\( \mathbf{c} \cdot 9 A^{\circ} \)
D. none of these
Subject: Maths
\( f\left|\begin{array}{ccc}\mathbf{1} & \boldsymbol{a} & \boldsymbol{b} \boldsymbol{c} \\ \mathbf{1} & \boldsymbol{b} & \boldsymbol{c a} \\ \mathbf{1} & \boldsymbol{c} & \boldsymbol{a b}\end{array}\right|=\boldsymbol{\lambda}\left|\begin{array}{ccc}\boldsymbol{a}^{2} & \boldsymbol{b}^{2} & \boldsymbol{c}^{2} \\ \boldsymbol{a} & \boldsymbol{b} & \boldsymbol{c} \\ \mathbf{1} & \boldsymbol{1} & \boldsymbol{1}\end{array}\right|, \) then \( \lambda \) is
equal to
\( A \cdot 1 \)
B. -1
\( c \cdot 2 \)
\( D .-3 \)
Subject: Chemistry
Isomers of propanoic acid are:
\( \mathbf{A} \cdot H C O O C_{2} H_{5} \) and \( C H_{3} C O O C H_{3} \)
B. \( H-C O O C_{2} H_{5} \) and \( C_{3} H_{7} C O O H \)
\( \mathbf{c} \cdot C H_{3} C O O C H_{3} \) and \( C_{3} H_{7} O H \)
D. \( C_{3} H_{7} O H \) and \( C H_{3} C O C H_{3} \)
Subject: Maths
\( A \) and \( B \) are two sets having 3 elements in common.ff \( n(\mathbf{A})=\mathbf{5}, n(\mathbf{B})=\mathbf{4} \) then
Find
\( \boldsymbol{n}(\boldsymbol{A} \times \boldsymbol{B}) \boldsymbol{a} \boldsymbol{n} \boldsymbol{d} \boldsymbol{n}[(\boldsymbol{A} \times \boldsymbol{B}) \cap(\boldsymbol{B} \times \boldsymbol{A})] \)
Subject: Chemistry
For the reaction system:
\( \mathbf{2} N O(g)+O_{2}(g) \rightarrow 2 N O_{2}(g) \) volume
is suddenly reduced to half its value by increasing the pressure on it. If the reaction is of first order with respect to
\( O_{2} \) and second order with repeat to \( \mathrm{NO} \)
the rate of reaction will:
A. increase to eight times of its initial value
B. increase to four times of its initial value
c. decrease to one-fourth of its initial value
D. decrease to one-eighth of its initial value
Subject: Chemistry
If \( P, V, T \) represents pressure, volume
and temperature of the gas, the correct representation of Boyle's law is :
A \( \cdot V \propto \frac{1}{P}(\mathrm{P} \text { is constant }) \)
В. \( P V=R T \)
\( ^{\mathrm{c}} \cdot_{V} \propto \frac{1}{P}(\text { at constant } \mathrm{T}) \)
D. \( P V=n R T \)
Subject: Physics
A curved road is \( 7.5 ~ m \) wide and its
outer edge is raised by 1.5 m over the inner edge. The radius of curvature is
\( 50 m . \) For what speed of the car is this
road suited? \( \left(\boldsymbol{g}=\mathbf{1 0 m} / \boldsymbol{s}^{2}\right) \)
A. \( 5 \mathrm{m} / \mathrm{s} \)
в. \( 10 \mathrm{m} / \mathrm{s} \)
c. \( 15 \mathrm{m} / \mathrm{s} \)
D. 20 \( m / s \)
Subject: Maths
If the vectors \( 3 \bar{p}+\bar{q} ; 5 \bar{p}-3 \bar{q} \) and \( 2 \bar{p}+ \)
\( \bar{q} ; 4 \bar{p}-2 \bar{q} \) are pairs of mutually
perpendicular vectors then \( \sin (\theta) \) is \( (\theta \) is the angle between \( \overline{\boldsymbol{p}} \) and \( \overline{\boldsymbol{q}} \)
A \( \cdot \sqrt{55} / 4 \)
B . \( \sqrt{55} / 8 \)
c. \( 3 / 16 \)
D. \( \sqrt{247} / 16 \)
Subject: Maths
Let \( S=1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\ldots \) find the
sum of first 20 terms of the series
A \( \cdot \frac{2^{20}-1}{2^{20}} \)
в. \( \frac{2^{19}-1}{2^{19}} \)
\( ^{\mathrm{c}} \cdot \frac{2^{20}-1}{2^{19}} \)
D. \( \frac{2^{19}-1}{2^{20}} \)
Subject: Chemistry
The correct order of solubility in water
for \( \mathrm{He}, \mathrm{Ne}, \mathrm{Ar}, \mathrm{Kr}, \) Xe is :
\( \mathbf{A} \cdot H e>N e>A r>K r>X e \)
В \( . X e>K r>A r>N e>H e \)
C \( . N e>A r>K r>H e>X e \)
D \( . A r>N e>H e>K r>X e \)
Subject: Chemistry
The products obtained when chlorine gas reacts with cold and dilute aqueous
NaOH are:
A \( \cdot C l O^{-} \) and \( C l O_{3}^{-} \)
в. \( C l O_{2}^{-} \) and \( C l O_{3}^{-} \)
c. \( C l^{-} \) and \( C l O^{-} \)
D. \( C l^{-} \) and \( C l O_{2}^{-} \)
Subject: Chemistry
For the following equilibrium \( 2 F e(s)+ \)
\( \mathbf{3} \boldsymbol{H}_{\mathbf{2}} \boldsymbol{O}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{F} \boldsymbol{e}_{\mathbf{2}} \boldsymbol{O}_{\mathbf{3}}(\boldsymbol{s})+ \)
\( \mathbf{3} \boldsymbol{H}_{2}(\boldsymbol{g}), \boldsymbol{K}_{c}=\mathbf{2 7 .} \) Hence ratio of molar
concentration of \( \boldsymbol{H}_{2}(\boldsymbol{g}) \) and \( \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g}) \) is:
\( A \cdot 3 \)
B.
\( c \cdot 9 \)
D. 27
Subject: Physics
The pressure inside a tyre is 4 times that of atmosphere. If the tyre burst suddenly at temperature \( 300 K, \) what will be the new temperature?
\( \mathbf{A} \cdot 300(4)^{7 / 2} \)
В. \( 300(4)^{2 / 7} \)
\( \mathbf{C} \cdot 300(2)^{7 / 2} \)
D. \( 300(4)^{-2 / 7} \)
Subject: Maths
The locus of a point \( P \) which moves such
that \( P A^{2}-P B^{2}=2 k^{2} \) where \( A \) and \( B \)
\( \operatorname{are}(3,4,5) \) and (-1,3,-7) respectively
is
A. \( 8 x+2 y+24 z-9+2 k^{2}=0 \)
B. \( 8 x+2 y+24 z-2 k^{2}=0 \)
c. \( 8 x+2 y+24 z+9+2 k^{2}=0 \)
D. \( 8 x-2 y+24 z-2 k^{2}=0 \)
Subject: Chemistry
molecular formula \( C_{4} H_{8} O_{3} . \) It evolves
\( C O_{2} \) with \( N a H C O_{3} .^{\prime} X^{\prime} \) on reaction with
Li \( A l H_{4} \) give achiral compound 'X' is:
\( A \)
B
\( c \)
D.
Subject: Physics
A person bangs on a copper pipe that is part of a large warehouse. The sound
can be heard in the pipe 100.0 meters away in 0.02174 seconds.
If the frequency of the sound is
\( \mathbf{5 0 0 . 0} \boldsymbol{H z}, \) what is the wavelength of the
second wave in the copper pipe?
A. \( 1087 \mathrm{m} \)
в. 0.187 т
c. \( 9.200 m \)
D. \( 0.004348 \mathrm{m} \)
ह. \( 2,300,000 m \)
Subject: Biology
Why does the total amount of \( C O_{2} \) in the atmosphere remains constant even
though respiration liberates \( C O_{2} ? \)
\( A \cdot C O_{2} \) acts as a buffer
B. \( C O_{2} \) is converted to carbohydrates in photosynthesis
\( \mathrm{c} \cdot \mathrm{CO}_{2} \) forms carbonic acid
D. \( C O_{2} \) undergoes cleavage during photosynthesis
Subject: Maths
If \( f(x) \) is a function satisfying \( f\left(\frac{1}{x}\right)+ \)
\( x^{2} f(x)=0 \) for all non-zero \( x, \) then \( \int_{\sin \theta}^{\operatorname{cosec} \theta} f(x) d x \) equals to:
A \( \cdot \sin \theta+\operatorname{cosec} \theta \)
B. \( \sin ^{2} \theta \)
\( \mathrm{c} \cdot \operatorname{cosce}^{2} \theta \)
D. None of these
Subject: Chemistry
Vant Hoff's equation is
A \( \cdot \log \frac{K_{2}}{K_{1}}=\frac{-\Delta H^{0}}{2.303 R}\left[\frac{T_{2}-T_{1}}{T_{2} T_{1}}\right] \)
B. \( \log \frac{K_{2}}{K_{1}}=\frac{\Delta H^{0}}{2.303 R}\left[\frac{T_{2}-T_{1}}{T_{2}+T_{1}}\right] \)
C. \( \log \frac{K_{2}}{K_{1}}=\frac{\Delta H^{0}}{2.303 R}\left[\frac{T_{2}-T_{1}}{T_{2} T_{1}}\right] \)
D. \( \log _{\frac{K_{1}}{L}=\frac{\Delta H^{0}}{2.203 R}}\left[\frac{T_{3}+T_{1}}{T_{1} 2_{1}}\right] \)
Subject: Maths
\( \lim _{x \rightarrow 1} \frac{\sqrt{1-\cos 2(x-1)}}{x-1} \)
A. exists and it equals \( \sqrt{2} \)
B. exists and it equals \( -\sqrt{2} \)
c. does not exist because \( x-1 \rightarrow 0 \)
D. does not exist because left hand limit is not equal to right hand linitt
Subject: Physics
Two thin similar convex glass pieces
are joined together front to front with its rear portion silvered such that a sharp
image is formed \( 20 \mathrm{cm} \) from the mirror.
When the air between the glass pieces
is replaced by water \( \left(\mu_{W}=4 / 3\right), \) then the image formed from the mirror is at
a distance of
\( A \cdot 8 \mathrm{cm} \)
B. \( 10 \mathrm{cm} \)
\( c \cdot 6 \mathrm{cm} \)
D. \( 12 \mathrm{cm} \)
Subject: Chemistry
The ratio between the \( \boldsymbol{R} \boldsymbol{M} \boldsymbol{S} \) velocity of
\( H_{2} \) at \( 50 K \) and \( R M S \) velocity of \( O_{2} \) at
\( 800 K \) will be:
A . 4:
B. 2:
c. 1:
D. 1:
Subject: Physics
When a force 6 N is exerted at \( 30^{\circ} \) to a
wrench at a distance of \( 8 \mathrm{cm} \) from a nut
as shown in Fig, it is just able to loosen
it. What force \( F \) is required to loosen the
nut if applied \( 16 \mathrm{cm} \) away to the wrench
and normal to the wrench ?
\( A \cdot 3 N \)
B. \( \sqrt{3} N \)
c. 1.5
D. None