AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Biology
Column I represent the size of the soil
particles and Column I represents type of solid components. Which of the following is correct match for the Column I and
Column II.
Column I
A. 0.2 to \( 2.00 \mathrm{mm} \)
(i) Slit
B. Less than 0.002 \( \mathrm{mm} \)
(ii) Clay
\[
\begin{array}{l}
\text { C. } 0.02 \text { to } 0.2 \mathrm{mm} \\
\text { m }
\end{array}
\]
(iii) Coarse and particle
D. 0.002 to \( 0.02 \mathrm{mm} \)
(iv) Fine sand particle
B. (A) - (iv), (B) - (i), (C) - (iii), (D) - (ii)
c. (A) - (iii), (B) - (ii), (C)-(iv), (D) - (i)
D. None of the above
Subject: Physics
There is a mixture of three solid
compounds \( A, B \) and \( C . \) Out of these
compounds \( A \) and \( C \) are soluble in water
and compound \( C \) is sublimable also. In what sequence the following techniques can be used for their effective
separation?
I. Filtration
II. Sublimation
III. Crystallisation from water extract
IV. Dissolution in water
\( A \cdot(\|),(1),(1 \vee),(1 \mid) \)
B. (IV), (I), (II), (III)
c. \( (1),(11),(11),(1 \vee) \)
\( D \cdot(11),(1 V),(1),(11) \)
Subject: Maths
Calculate the mean deviation for the
following data about median.
\( \begin{array}{lcc}\text { Class } & & \\ \text { interval } & & 2 & 7\end{array} \)
\[
\mathbf{1 7}
\]
12
\( 11 \quad 12 \) Frequency 17 12
A . 5.12
в. 2.12
c. 7.21
D. 7.54
Subject: Physics
A beam of light consisting of two wavelengths, 800 nm and 600 nm is used to obtain the interference fringes
in a Young's double slit experiment on a
screen place \( 1.4 \mathrm{m} \) away. If the two slits are separated by \( 0.28 \mathrm{mm} \), Calculate the least distance from the central bright maximum where the bright fringes of the two wavelengths coincidence.
Subject: Maths
Calculate Mean Deviation about
Median
\( \begin{array}{lllll}\text { Class } & 0- & 10- & 20- & 30 \\ & 10 & 20 & 30 & 40\end{array} \)
Frequency \( \quad 5 \quad 10 \quad 20 \)
\( A \cdot 7 \)
B. 8
c. 19
D.
Subject: Chemistry
Which of the following statements are
correct about Mendeleev's periodic table?
i) It is based on increasing order of
atomic numbers.
ii) Mendeleev corrected the atomic
weight of some elements like Be, In etc.
iii) \( \left(\boldsymbol{A} \boldsymbol{r}, \boldsymbol{H}_{2}\right),\left(\boldsymbol{C o}, \boldsymbol{C l}_{2}\right),\left(\boldsymbol{T} \boldsymbol{e}, \boldsymbol{F}_{2}\right) \) are
three inverted pairs.
iv) It is based on increasing order of atomic weights.
A. only (i) correct
B. (ii) and (iv) are correct
c. only (iii) correct
D. (i) and (iv) are correct
Subject: Physics
A particle moves with constant speed \( v \) along a regular hexagon ABCDEF in the same order. Then the magnitude of the velocity for its motion from A to This question has multiple correct options
\( \mathbf{A} \cdot_{F} \) is \( \frac{v}{5} \)
B \( \cdot \) D is \( \frac{v}{3} \)
c. \( \quad \mathrm{c} \) is \( \frac{v \sqrt{3}}{2} \)
D. B is \( v \)
Subject: Physics
Two vessels \( A \) and \( B \) of cross-sections
as shown in figure contain a liquid up
to the same height. As the temperature
rises, the liquid pressure at the bottom
(neglecting expansion of the vessels)
will:
\( \mathbf{A} \). increase in \( A \), decrease in \( B \)
B. increase in \( B \), decrease in \( A \)
C. increase in both \( A \) and \( B \)
D. decrease in both \( A \) and \( B \)
Subject: Maths
\( \triangle \boldsymbol{R} \boldsymbol{S} \boldsymbol{T} \sim \triangle \boldsymbol{U} \boldsymbol{A} \boldsymbol{Y} . \ln \triangle \boldsymbol{R} \boldsymbol{S} \boldsymbol{T}, \boldsymbol{R} \boldsymbol{S}= \)
\( 6 c m, \angle S=50^{\circ}, S T=7.5 \mathrm{cm} . \) The
corresponding sides of \( \triangle R S T \) and
\( \triangle U A Y \) are in the ratio \( 5: 4 . \) Construct
\( \triangle \boldsymbol{U} \boldsymbol{A} \boldsymbol{Y} \)
Subject: Chemistry
The degree of dissociation of \( N_{2} O_{4} \) into
\( N O_{2} \) at 1.5 atmosphere and \( 40^{\circ} C \) is
0.25. Calculate its \( \boldsymbol{K}_{\boldsymbol{p}} \) at \( \boldsymbol{4} \boldsymbol{0}^{\circ} \boldsymbol{C} \)
A. \( K_{p}=0.4 \)
в. \( K_{p}=0.8 \)
\( \mathbf{c} \cdot K_{p}=0.2 \)
D. \( K_{p}=0.6 \)
Subject: Physics
A wire of length L and three identical cells of negligible internal resistance are connected in series. Due to the
current, the temperature of the wire is raised by \( \triangle T \) in time t. N identical cells
are now connected in series with a wire
of length \( 2 L \) of same material and across-section. The temperature is raised by same amount \( \triangle \boldsymbol{T} \) in same
time t. The value of N is
A. 6
B. 4
\( c \cdot 8 \)
\( D \)
Subject: Physics
Two particles having position vectors \( \vec{r}_{1}=3 \hat{i}+5 \hat{j} \mathrm{m} \) and \( \vec{r}_{2}=-5 \hat{i}+3 \hat{j} \mathrm{m} \)
are moving with velocities \( \vec{V}_{1}=4 \hat{i}+ \) \( 3 \hat{j} \mathrm{m} / \mathrm{s} \) and \( \vec{V}_{2}=-a \hat{i}+4 \hat{j} \mathrm{m} / \mathrm{s} . \) If they
collide after 2 seconds, the value of \( a \) is:
A . -2
B. -4
\( c .-6 \)
D. -8
Subject: Physics
m/s strikes a hard wall at an angle of
\( 30^{\circ} \) with the wall. It is reflected with the
same speed and at the same angle. If the ball is in contact with the wall for
0.25 seconds, the average force acting on the wall is?
A . \( 48 \mathrm{N} \)
B. 25N
c. \( 12 \mathrm{N} \)
D. 96N
Subject: Chemistry
For the equilibrium \( N_{2}+3 H_{2} \rightleftharpoons \)
\( 2 N H_{3}, K_{c} \) at \( 1000 K \) is \( 2.37 \times 10^{-3} . \) If
at equilibrium \( \left[\boldsymbol{N}_{2}\right]=\mathbf{2} \boldsymbol{M},\left[\boldsymbol{H}_{2}\right]=\boldsymbol{3} \boldsymbol{M} \)
the concentration of \( \boldsymbol{N} \boldsymbol{H}_{3} \) is:
A . \( 0.00358 M \)
B. \( 0.0358 M \)
c. \( 0.358 M \)
D. 3.58 М
Subject: Physics
At a frequency \( \omega_{0} \) the reactance of a certain capacitor equals that of a certain inductor. If frequency is
changed to \( 2 \omega_{0} . \) The ratio of reactance
of the inductor to that of the capacitor is
\( A \cdot 4: 1 \)
B. \( \sqrt{2}: 1 \)
c. \( 1: 2 \sqrt{2} \)
D. 1: 2
Subject: Maths
If the replacement set \( = \) \{-6,-3,0,3,6,9\}\( ; \) find the truth set of
the following:
\( 2 x-1>9 \)
A \( \cdot\{6,9\} \)
в. \{2,6\}
c. \{7,3\}
D. \{5,8\}
Subject: Maths
STATEMENT -1: Roots of the quadratic equation \( 3 x^{2}-2 \sqrt{6}+2=0 \) are same
STATEMENT -2: A quadratic equation
\( a x^{2}+b x=c=0 \) has two distinct real
roots, if \( b^{2}-4 a c>0 \)
A. Statement - 1 is True, Statement- - 2 is True, Statement 2 is a correct explanation for Statement - 1
B. Statement - 1 is True, Statement - 2 is True : Statement 2 is NOT a correct explanation for Statement- -
c. statement- 1 is True, Statement - 2 is False
D. Statement-1 is False, Statement- - 2 is True
Subject: Maths
n the \( \triangle A B C \),we have \( \angle A>\angle B>\angle C \)
then determine the shortest and the
longest side of the triangle.
A. Shortest side is \( A B \) and the longest side is \( B C \)
B. Shortest side is \( B C \) and the longest side is \( A B \)
C. Shortest side is \( A B \) and the longest side is \( A C \)
D. Shortest side is \( A C \) and the longest side is \( B C \)
Subject: Chemistry
Heating benzene in a large excess of
\( 80 \% D_{4} S O_{2} \) in \( D_{2} O \) results in what
product?
A. \( C_{6} H_{5} S O_{3} D \)
в. \( C_{6} H_{5} \) О О
c. \( C_{6} H_{5} \) D
D. \( C_{6} D_{6} \)
Subject: Maths
\( \ln \) a \( \triangle A B C, \) the sides \( A B, B C \) and \( C A \)
are \( 10 \mathrm{cm}, 8 \mathrm{cm} \) and \( 7 \mathrm{cm} \) respectively.
\( \ln A B \) a point \( P \) is taken such that
\( \boldsymbol{A P}=\mathbf{4} \mathrm{cm} . \) If \( \boldsymbol{P Q} \) is drawn parallel to
\( D C, \) then its length is equal to
A \( .4 .0 \mathrm{cm} \)
B. \( 3.8 \mathrm{cm} \)
c. \( 3.5 \mathrm{cm} \)
D. \( 3.2 \mathrm{cm} \)
Subject: Maths
A small hole is made at the button of a
symmetrical jar as shown in figure.
liquid is filled into the jar upto a certain
height. The rate of descension of liquid
is independent of the level of liquid in
the jar. Then the surface of jar is a
surface of revolution of the curve
\( \mathbf{A} \cdot y=k x^{4} \)
\( \mathbf{B} \cdot y=k x^{2} \)
\( \mathbf{c} \cdot y=k x^{3} \)
D. \( y=k x^{5} \)
Subject: Chemistry
Which statement below is
false regarding empirical formulas?
A. The empirical formula for butyne is \( \mathrm{CH} \)
B. The empirical formula for ammonia is \( N H_{3} \)
C. The empirical formula of \( C H_{2} O \) is \( C_{6} H_{12} O_{6} \)
D. Ionic compounds are written as empirical formulas
E. The empirical and molecular formulas for methane are the same
Subject: Maths
A tower of height b and a flagstaff on top of tower subtend equal at a point on the ground, distant a from the base of the
tower. The height of the flagstaff is
A \( \cdot \frac{b^{2}}{a+b} \)
B. \( \frac{b(a+b)}{a-b} \)
c. \( \frac{b^{2}}{a-b} \)
D. \( b\left(\frac{a^{2}+b^{2}}{a^{2}-b^{2}}\right) \)
Subject: Physics
If a force of \( 200 N \) acts on a body. The
momentum acquired is \( 100 k g m / s \) What is the period for which force acts on the body?
A . \( 0.2 \sec \)
B. \( 0.5 \mathrm{sec} \)
c. \( 0.4 \mathrm{sec} \)
D. 0.25 sec
Subject: Physics
Two positive charges \( Q \) and \( 4 Q \) are placed at points \( A \) and \( B \) respectively where \( \mathrm{B} \) is at a distance 'd' units to the
right of A. The total electric potential due to these charges in minimum at \( \mathrm{P} \) on the line through \( A \) and \( B \), What is (are) the distance(s) of P from A?
A. \( d \) \( \frac{d}{3} \) units to the right of \( A \)
B. \( \frac{d}{3} \) units to the left of
c. \( \frac{d}{5} \) units to the right of
D. d units to the left of A
Subject: Maths
A coin is tossed and a die is thrown
simultaneously :
\( P \) is the event of getting head and a odd
number.
\( Q \) is the event of getting either \( H \) or \( T \)
and an even number.
\( R \) is the event of getting a number on
die greater than 7 and a tail.
\( S \) is the sample space.
Which of the following options is
correct?
A \( . n(S)=12, n(P)=3, n(Q)=2, n(R)=0 \)
В. \( n(S)=12, n(P)=3, n(Q)=3, n(R)=0 \)
c. \( n(S)=12, n(P)=3, n(Q)=6, n(R)=0 \)
D. \( n(S)=12, n(P)=3, n(Q)=5, n(R)=0 \)
Subject: Chemistry
Among the following compounds which will react with acetone to give a product containing \( >\boldsymbol{C}=\boldsymbol{N}-? \)
A. \( C_{6} H_{5} N H C O C l \)
в. \( \left(C H_{3}\right)_{2} N-C H_{3} \)
c. \( C_{6} H_{5} N H N H_{2} \)
D. \( C_{6} H_{5} N H C_{6} H_{5} \)
Subject: Physics
(a) Write using Biot - Savart Law, the expression for magnetic field \( \vec{B} \) due to an element \( \overrightarrow{d l} \) carrying current \( I \) at a distance \( \vec{r} \) from it in a vector form.
Hence derive the expression for the magnetic field due to a current carrying loop of radius \( R \) at a point \( P \) distant \( x \) from its centre along the axis of the
loop.
(b) Explain how Biot - Savart law enables one to express the Ampere's circuital law in the integral form, viz.,
\[
\overrightarrow{\boldsymbol{B}} \cdot \overrightarrow{\boldsymbol{d}} \boldsymbol{l}=\boldsymbol{\mu}_{\boldsymbol{o}} \boldsymbol{I}
\]
where \( I \) is the total current passing through the surface.
Subject: Physics
If the first line of Lyman series has a wavelength \( 1215.4 A \), the first line of Balmer series is approximately
\( \mathbf{A} \cdot 4864 \hat{A} \)
в. \( 1025.5 \AA \)
c. \( 6563 \dot{h} \)
D. 6400 月
Subject: Maths
If \( \hat{i}+p \hat{j}+\hat{k}, 2 \hat{i}+3 \hat{j}+q \hat{k} \) are parallel
vectors then \( (p, q)=? \)
A \( \cdot\left(2, \frac{3}{2}\right) \)
в. (2,2)
c. \( \left(\frac{3}{2}, \frac{3}{2}\right) \)
D. \( \left(\frac{3}{2}, 2\right) \)
Subject: Chemistry
Assertion
\( P_{4} \) exists but \( N_{4} \) does not; \( N_{2} \) exists
but \( P_{2} \) does not
Reason
white phosphorus : \( \boldsymbol{P}_{4} \boldsymbol{N} \equiv \)
\( N 946 k J m o l^{-1}, P \equiv \)
\( \boldsymbol{P} \mathbf{4 8 1} \boldsymbol{k} \boldsymbol{J} \boldsymbol{m o l}^{-1}, \boldsymbol{N}- \)
\( N 160 k J m o l^{-1}, P-P 215 k J m o l^{-1} \)
Greater the B.E., greater the stability [compare BE of \( N \equiv N \) and \( N-N \) (in
\( \left.\left.N_{4}\right) \text { and } P-P\left(\text { in } P_{4}\right)\right] \)
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: Chemistry
The molar mass of \( C a C O_{3} \) is :
\( \mathbf{A} \cdot 68 \mathrm{g} / \mathrm{mol} \)
B. \( 75 \mathrm{g} / \mathrm{mol} \)
c. 82 g/mol
D. \( 100 \mathrm{g} / \mathrm{mol} \)
E . \( 116 \mathrm{g} / \mathrm{mol} \)
Subject: Maths
Find \( \left|\begin{array}{lll}\log e & \log e^{2} & \log e^{3} \\ \log e^{2} & \log e^{3} & \log e^{4} \\ \log e^{3} & \log e^{4} & \log e^{5}\end{array}\right| \)
\( A \)
B.
\( c .4 \log e \)
\( \mathbf{D} \cdot 5 \log e \)
Subject: Physics
A ball falls from a height of \( 5 \mathrm{m} \) and strikes the roof of a lift. If at the time of
the collision, lift is moving in the upward direction with a velocity of 1 \( \mathrm{m} / \mathrm{s}, \) then the velocity with which the
ball rebounds after the collision will be
\( (e=1): \)
A \( .11 \mathrm{m} / \mathrm{s} \)
B. \( 12 \mathrm{m} / \mathrm{s} \)
c. \( 13 \mathrm{m} / \mathrm{s} \)
D. \( 10 \mathrm{m} / \mathrm{s} \)
Subject: Chemistry
For a reaction \( \boldsymbol{A} \stackrel{\boldsymbol{K}_{1}}{\longrightarrow} \boldsymbol{B} \stackrel{\boldsymbol{K}_{2}}{\longrightarrow} \boldsymbol{C} . \) If the
reaction are of \( 1^{s t} \) order then \( \frac{\boldsymbol{d}[\boldsymbol{B}]}{\boldsymbol{d} \boldsymbol{t}} \) is
equal to:
A . \( -k[B] \)
B. \( +k_{1}[A] \)
\( \mathbf{c} \cdot k_{1}[A]-k_{2}[B] \)
D. \( k_{1}[A]+k_{2}[B] \)
Subject: Maths
Find the distance of a perpendicular from the centre of a circle to the chord if
the diameter of the circle is \( 30 \mathrm{cm} \) and
its chord is \( 24 \mathrm{cm} \)
\( \mathbf{A} \cdot 6 \mathrm{cm} \)
в. \( 7 \mathrm{cm} \)
\( \mathrm{c} .9 \mathrm{cm} \)
D. \( 10 \mathrm{cm} \)
Subject: Maths
Assertion
No three consecutive binomial
coefficient can be in G.P. \& H.P.
Reason
Three consecutive binomial coefficients
are in A.P.
A. Both Assertion \& Reason are individually true \& Reason is correct explanation of Assertion,
B. Both Assertion \& Reason are individually true but Reason is not the correct (proper) explanation of Assertion,
c. Assertion is true but Reason is false
D. Assertion is false but Reason is true
Subject: Chemistry
An organic compound 'A' produces a gas with brisk effervescence when
sodium bicarbonate is added to it. The
compound 'A' contains same number of
carbons as in ethane. The compound 'A'
reacts with ethanol to form a sweet
smelling compound 'C' in presence of
conc. \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) acid. Then the name of
compound \( A \) and the gas evolved is:
A. ethanoic acid; \( C O_{2} \)
B. methanoic acid; \( C O_{2} \)
C . ethanoic acid; \( H_{2} \)
D. methanoic acid; \( H_{2} \)
Subject: Physics
The velocity-time graph of a particle moving in a straight line is shown in
figure. The acceleration of the particle
at \( t=9 \) s is
A. zero
B \( \cdot 5 m / s^{2} \)
\( \mathrm{c} \cdot-5 m / s^{2} \)
D. \( -2 m / s^{2} \)
Subject: Maths
Find the area of bounded by \( y=\sin x \) from \( \boldsymbol{x}=\frac{\boldsymbol{\pi}}{\boldsymbol{4}} \) to \( \boldsymbol{x}=\frac{\boldsymbol{\pi}}{\boldsymbol{2}} \)
A \( \cdot \frac{\sqrt{2}-1}{\sqrt{2}} \)
B. \( \frac{1}{2} \)
\( c \cdot \frac{1}{4} \)
D. None of these
Subject: Chemistry
Sea water is found to conatin
\( \mathbf{5 . 8 5 \%} \) Nacl and \( \mathbf{9 . 5 0 \%} \boldsymbol{M g C l}_{2} \) by
weight of solution. Calculate its normal
boiling point assuming \( 80 \% \) ionisation for \( N a C l \) and \( 50 \% \) ionisation of
\( M g C l_{2} \)
\( \left[\boldsymbol{K}_{\boldsymbol{b}}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)=\mathbf{0 . 5 1} \boldsymbol{k g} \boldsymbol{m o l}^{-1} \boldsymbol{K}\right] \)
A. \( T_{b}=51.15^{\circ} \mathrm{C} \)
в. \( T_{b}=78.6^{\circ} \mathrm{C} \)
c. \( T_{b}=102.3^{\circ} \mathrm{C} \)
D. \( T_{b}=157.2^{\circ} \mathrm{C} \)
Subject: Maths
The solution of the equation \( 2 \cos ^{-1} x=\sin ^{-1}(2 x \sqrt{1-x^{2}}) \)
A \( \cdot[-1,0] \)
B \( \cdot[0,1] \)
c. [-1,1]
D. \( \left[\frac{1}{\sqrt{2}}, 1\right] \)
Subject: Chemistry
Assertion
There is a very little difference in acidic
strengths of \( \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{4}, \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{3} \) and
\( \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{2} \)
Reason
The number of unprotonated oxygen
responsible for an increase of acidic strength due to inductive effect
remains the same
Read the above assertion and reason
and choose the correct option regarding
it.
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 wheel with 4 spokes is placed with its
plane perpendicular to a uniform
magnetic field B of magnitude 0.5 T. The
field is directed into the plane of the
paper and is present over the entire
region of the wheel as shown in fig.
When the switch \( \mathrm{S} \) is closed, there is
initial current of 6 A between the axis
and the rim and the wheel begins to
rotate. Resistances of the spokes are 1
2, 4 and \( 8 \Omega \), respectively. Resistance of
rim is negligible. Radius of the wheel is
0.2 \( \mathrm{m} . \) The initial torque acting on the
wheel is \( 6 \times 10^{-x} \) Nm. Find \( x \) than
Subject: Maths
Simplify: \( 3 a^{2}\left(2 a^{2}-3\right)+ \)
\( 4 a\left(2 a^{3}+3\right)-12(a+1) \)
A \( \cdot 14 a^{4}-9 a^{2}-12 \)
B . \( 14 a^{4}+9 a^{2}-12 \)
c. \( 14 a^{4}-9 a^{2}+12 \)
D. None of these
Subject: Physics
A copper disc of radius 0.1 m rotated
about its centre with 10 revolutions per
second in a uniform magnetic field of
0.1 tesla with it's plane perpendicular to the field. The e.m.f. induced across the
radius of disc is:
A \( \cdot \frac{\pi}{10} \) volt
в. \( \frac{2 \pi}{10} \) volt
c. \( \pi \times 10^{-2} \) volt
D. 2 \( \pi \times 10^{-2} \) volt
Subject: Physics
The differential equation representing the SHM of a particule is \( \frac{\mathbf{9} d^{2} \boldsymbol{y}}{d t^{2}}+\mathbf{4} \boldsymbol{y}= \)
0. The time period of the particle is
given by :
A \( \cdot \frac{\pi}{3} \) sec
B . \( \pi \) sec
c. \( \frac{2 \pi}{3} \) sec
D. \( 3 \pi \) sec
Subject: Chemistry
The osmotic pressure of an aqueous solution of sucrose is 2.47 atm at \( 303 \mathrm{K} \)
and the molar volume of the water
present is \( 18.10 \mathrm{cm}^{3} . \) Given \( \Delta H_{v a p}= \) \( \mathbf{5 4 0} \) cal / g. Assume the volume of
solvent equal to the volume of the
solution. The elevation in the boiling point of the solution is :
A \( .5 .145 \times 10^{-2} \)
B. \( 7.565 \times 10^{-2} \)
c. \( 6.355 \times 10^{-2} \)
D. None of these
Subject: Physics
What is the angle between \( \vec{P} \) and the resultant of \( (\vec{P}+\vec{Q}) \) and \( (\vec{P}-\vec{Q}) ? \)
A. zero
в. \( \tan ^{-1} \frac{P}{Q} \)
c. \( \tan ^{-1} \frac{Q}{P} \)
D. \( \tan ^{-1}\left(\frac{P-Q}{P+Q}\right) \)
Subject: Chemistry
Bond order is associated with the
strength of bond and bond length. The higher the bond order, the smaller will
be the bond length and stronger will be the bond.

Arrange \( O_{2}, O_{2}^{+}, O_{2}^{-} \) and \( O_{2}^{2-} \) in order of increasing bond order.
A \( \cdot O_{2}<O_{2}^{-}<O_{2}^{2-}<O_{2}^{+} \)
в. \( O_{2}^{2-}<O_{2}^{-}<O_{2}<O_{2}^{+} \)
c. \( O_{2}^{-}<O_{2}^{2-}<O_{2}^{+}<O_{2} \)
D. \( O_{2}^{2+}<O_{2}^{+}<O_{2}^{-}<O_{2} \)
Subject: Chemistry
Determine the degree of association (polymerisation) for the reaction in
aqueous solution \( 6 H C H O \rightleftharpoons \)
\( \boldsymbol{C}_{\boldsymbol{6}} \boldsymbol{H}_{\mathbf{1 2}} \boldsymbol{O}_{\boldsymbol{6}} \)
If observed(mean) molar mass of
\( H C H O \) and \( C_{6} H_{12} O_{6} \) is 150
A . 0.50
B. 0.833
c. 0.90
D. 0.96
Subject: Chemistry
What would be the stoichiometric
coefficient of hydrochloric acid in the following equation?
\( \boldsymbol{C l}_{2}+_{--} \boldsymbol{H}_{2} \boldsymbol{O} \rightarrow_{--} \boldsymbol{H} \boldsymbol{C l}+_{-} \)
\( \boldsymbol{H} \boldsymbol{C l O}_{3} \)
\( A \)
B. 3
\( c \cdot 5 \)
D. 10
Subject: Maths
If \( \cos (\alpha+\beta)=\frac{4}{5} \) and \( \sin (\alpha-\beta)=\frac{5}{13} \)
where \( \alpha, \beta \) lie between \( 0^{\circ} \) and \( 45^{\circ}, \) then
the value of \( \tan 2 \alpha \) is
A \( \cdot \frac{56}{33} \)
в. \( \frac{46}{33} \)
c. \( \frac{14}{33} \)
D. \( \frac{16}{33} \)
Subject: Biology
Match the following columns.
Column Column I n II
1. \( \alpha \)
\( A \)
Molecular roxygen ketoglutaric acid
B. Electron acceptor
2. Hydrogen acceptor
C. Pyruvate
3. Cytochrome-C dehydrogenase
D. Decarboxylation
4. Acetyl Co-A
\( \mathbf{A} \cdot 2,3,4,1 \)
\( \mathbf{B} \cdot 3,4,2,1 \)
\( \mathrm{C} \cdot 2,1,3,4 \)
D. 4,3,1,2
Subject: Maths
\( \frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{x}}\left(\boldsymbol{x}^{2} \boldsymbol{e}^{\boldsymbol{a} \boldsymbol{x}}\right) \)
A \( \cdot e^{a x}\left(a x^{2}+2 x\right) \)
B \( \cdot e^{a x}\left(2 a x^{2}+2 x\right) \)
C \( \cdot e^{a x}\left(a x^{2}+2 a x\right) \)
D. \( e^{a x}\left(a x^{2}-2 a x\right) \)
Subject: Physics
A point source or IIgnt b is placea at a
distance \( L \) in front of the centre of a
mirror of width d hung vertically on a
wall. A man walks in front of the mirror
along a line parallel to the mirror at a
distance \( 2 L \) from it as shown. The
greatest distance over which he can see
the image of the light source in the
mirror is
A \( \cdot d / 2 \)
B.
\( c \cdot 2 d \)
D. 3d
Subject: Physics
If \( M_{O} \) is the mass of an oxygen isotope
\( \mathrm{s} \boldsymbol{O}^{17}, \boldsymbol{M}_{\boldsymbol{p}} \) and \( \boldsymbol{M}_{\boldsymbol{n}} \) are the masses of a
proton and a neutron, respectively, the
nuclear binding energy of the isotope is
A. \( M_{O} c^{2} \)
B. \( \left(M_{O}-17 M_{n}\right) c^{2} \)
\( \mathbf{c} \cdot\left(M_{O}-8 M_{p}\right) c^{2} \)
D. \( \left(8 M_{p}+9 M_{n}-M_{O}\right) c^{2} \)
Subject: Chemistry
In the isoelectronic series of metal
carbonyl, the \( C 0 \) bond strength is expected to increase in the order.
\( A \)
\( \left[M n(C O)_{6}\right]^{+}<\left[C r(C O)_{6}\right]<\left[V(C O)_{6}\right] \)
\( ^{\mathrm{B}}\left[V(C O)_{6}\right]^{-}<\left[C r(C O)_{6}\right]<\left[M n(C O)_{6}\right]^{+} \)
c. \( \left[V(C O)_{6}\right]^{-}<\left[M n(C O)_{6}\right]^{+}<\left[C r(C O)_{6}\right] \)
D. \( \left[C r(C O)_{6}\right]<\left[M n(C O)_{6}\right]^{+}<\left[V(C O)_{6}\right] \)
Subject: Maths
The minimum value of \( \boldsymbol{f}(\boldsymbol{x})= \)
\( |\boldsymbol{x}-\mathbf{1}|+|\boldsymbol{x}-\mathbf{2}|+|\boldsymbol{x}-\mathbf{3}| \) is:
\( \mathbf{A} \cdot \mathbf{1} \)
B. 2
\( c \cdot 3 \)
D. None of the above
Subject: Biology
(a) In an experiment Griffith introduced heat-killed S-strain bacteria
Streptococcus into a mouse along with live R-strain bacteria. The mouse died
but the scientist recovered living \( \mathrm{S} \) strain bacteria from the dead mouse
Explain the conclusion Griffith arrived at after the experiment.
(b) Explain MacLeod, McCarty and Averys work that followed Griffith's experiment. State the conclusion they arrived at.
Subject: Chemistry
Assertion
Gypsum is added to powdered clinkers to get cement.
Reason
Addition of gypsum to clinker decreases its setting time and thus cement hardens readily on mixing with
water
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