AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
A charge \( q \) is located at the centre of a
cube.The electric flux through any face is -
\( \mathbf{A} \cdot \frac{2 \pi q}{6(4 \pi \varepsilon)} \)
В. \( \frac{4 \pi q}{6(4 \pi \varepsilon)} \)
\( \mathbf{c} \cdot \frac{\pi q}{6(4 \pi \varepsilon)} \)
D. \( \frac{q}{6(4 \pi \varepsilon 0)} \)
Subject: Maths
The value of \( \sin 27^{\circ}-\cos 27^{\circ} \) is equal to
?;where \( \cos \theta=\frac{\sqrt{5}+1}{4} \)
A. \( -\frac{\sqrt{3-\sqrt{5}}}{2} \)
B. \( -\frac{\sqrt{5-\sqrt{5}}}{2} \)
c. \( \frac{\sqrt{5}-1}{2 \sqrt{2}} \)
D. \( \frac{\sqrt{3-\sqrt{5}}}{2} \)
Subject: Physics
Four identical cells of emf \( \boldsymbol{E} \) and
internal resistance \( r \) are to be
connected in series. Suppose if one of the cell is connected wrongly, the equivalent emf and effective internal resistance of the combination is
\( \mathbf{A} \cdot 4 E \) and \( 4 r \)
B. \( 4 E \) and \( 2 r \)
\( \mathbf{c} \cdot 2 E \) and \( 4 r \)
D. \( 2 E \) and \( 2 r \)
Subject: Physics
A \( 5 k g \) ball is thrown upwards with a
speed of \( 10 \mathrm{m} / \mathrm{s} \). Then, the maximum
height attained by it is:
\( \mathbf{A} \cdot 5 m \)
в. 15 т
\( c .50 m \)
D. 25 \( m \)
Subject: Physics
The wavelength range of thermal
radiation is
A. from \( 4000 \AA \) to 7000 ,
B. from 7700 A to \( 4 \times 10^{6} \) A
c. from \( 10^{6} \AA \) to \( 10^{8} \AA \)
D. from \( 4 \times 10^{-12} \AA \) to \( 4 \times 10^{8} \AA \)
Subject: Physics
A body of mass \( 10 \mathrm{kg} \) moving with a velocity of \( 5 m s^{-1} \) hits a body of 1 gm at rest. Find the velocity of the second body after collision assuming it to be perfectly elastic?
A \( \cdot 10 m s^{-1} \)
B. \( 5 m s^{-1} \)
\( \mathbf{c} \cdot 15 m s^{-1} \)
D. \( 0.10 m s^{-1} \)
Subject: Maths
AOBCA is a quadrant of a circle of
radius \( 3.5 \mathrm{cm} \) with centre \( 0 . \mathrm{P} \) is adjoint
on OB such that \( O P=2 c m \). The area of
the shaded part is
A \( \cdot 12.25 \mathrm{cm}^{2} \)
8. \( 6.125 \mathrm{cm}^{2} \)
\( c \cdot 12.5 \mathrm{cm}^{2} \)
D. None of thes
Subject: Physics
An electronic test circuit produced a
resonant curve of half power frequency points at \( 414 H z \) and \( 436 H z \). If \( Q \) factor
be \( 10, \) the resonant frequency of the circuit is:
A \( .220 H z \)
B. \( 22 H z \)
c. \( 2.2 H z \)
D. \( 0.22 H z \)
Subject: Physics
A silicon diode has a "knee voltage of
threshold voltage" value of \( 0.7 \mathrm{V} \). This \( \mathrm{Si} \)
diode is connected in a circuit as shown
in the figure

Potential \( V_{0} \) of point \( p \) in the circuit will
be:
A . \( -0.44 v \)
B. 0.44V
c. \( 4.4 v \)
\( D,-4,4\rangle \)
Subject: Chemistry
The cryoscopic constant for acetic acid is \( 3.6 K k g / \) mol. A solution of \( 1 g \) of a hydrocarbon in \( 100 g \) of acetic acid
freezes at \( 16.14^{\circ} \mathrm{C} \) instead of the usual
\( 16.60^{\circ} \mathrm{C} . \) The hydrocarbon contains \( 92.3 \% \) carbon. If the molecular formula
is \( C_{6} H_{6} . \) Find the value of \( x \) and \( y \)
A. \( x=2, y=4 \)
В. \( x=3, y=5 \)
c. \( x=4, y=4 \)
D. \( x=6, y=6 \)
Subject: Chemistry
3 g of activated charcoal was added to \( 50 \mathrm{mL} \) of the acetic acid solution
\( (0.06 N) \) in a flask. After an hour, it was filtered and the strength of the filtrate was found to be \( 0.042 N . \) The amount of
acetic acid adsorbed (per gram of charcoal) is :
A. \( 18 \mathrm{mg} \)
B. \( 36 \mathrm{mg} \)
c. \( 42 \mathrm{mg} \)
D. \( 54 \mathrm{mg} \)
Subject: Maths
If \( P=\cos \frac{\pi}{20} \cdot \cos \frac{3 \pi}{20} \cdot \cos \frac{7 \pi}{20} \cdot \cos \frac{9 \pi}{20} \& Q \)
\( =\cos \)
\( \frac{\pi}{11} \cdot \cos \frac{2 \pi}{11} \cdot \cos \frac{4 \pi}{11} \cdot \cos \frac{8 \pi}{11} \cdot \cos \frac{16 \pi}{11}, \) ther
is
A. not defined
B. 1
\( c \cdot 2 \)
D. none of these
Subject: Chemistry
The correct order of energy difference
between adjacent energy levels in \( H \)
atom:
\( \mathbf{A} \cdot E_{2}-E_{1}>E_{3}-E_{2}>E_{4}-E_{3} \)
B \( \cdot E_{2}-E_{1}>E_{4}-E_{3}>E_{3}-E_{2} \)
\( \mathbf{c} \cdot E_{4}-E_{3}>E_{3}-E_{2}>E_{2}-E_{1} \)
D \( \cdot E_{3}-E_{2}>E_{4}-E_{3}>E_{2}-E_{1} \)
Subject: Physics
Two parallel wires in free space are \( 10 \mathrm{cm} \) apart and each carries a current
of \( 10 A \) in the same direction. The force
exerted by one wire on other per metre of length of the wire is
A \( \cdot 2 \times 10^{-6} N \)
B . \( 2 \times 10^{-4} N \)
c. \( 2 \times 10^{-3} N \)
D \( \cdot 2 \times 10^{-2} N \)
Subject: Maths
\( (\sin \theta+\cos \theta)(1-\sin \theta \cos \theta) \) can be
written as:
\( \mathbf{A} \cdot \sin \theta+\cos \theta \)
\( \mathbf{B} \cdot \sin ^{3} \theta-\cos ^{3} \theta \)
\( \mathbf{c} \cdot \sin ^{3} \theta+\cos ^{3} \theta \)
\( \mathbf{D} \cdot \sin \theta-\cos \theta \)
Subject: Maths
Let \( s_{1}, s_{2}, s_{3} \) be the sums of \( n \) term of
each being 1 and the common
differences 1,2,3 respectively. If \( s_{1}+s_{3}= \)
\( \lambda s_{2}, \) then the value of \( \lambda \) is
A . 1
B . 2
\( c .3 \)
D. None of these
Subject: Maths
If \( \vec{x} \) and \( \vec{y} \) are two non-collinear vectors
and \( a, b \) and \( c \) represent the sides of a
\( \Delta A B C \) satisfying \( (a-b) \vec{x}+(b- \)
\( c) \overrightarrow{\boldsymbol{y}}+(\boldsymbol{c}-\boldsymbol{a})(\overrightarrow{\boldsymbol{x}} \times \overrightarrow{\boldsymbol{y}})=0, \) then \( \Delta \boldsymbol{A} \boldsymbol{B C} \)
is ( where \( \vec{x} \times \vec{y} \) is perpendicular to the
plane of \( \vec{x} \text { and } \vec{y}) \)
A. An acute-angle triangle
B. An obtuse-angled triangle
c. Right-angled triangle
D. A scalene triangle
Subject: Physics
Find out the angular acceleration of a washing machine, starting from rest, accelerates within \( 3.14 s \) to a point
where it is revolving at a frequency of
\( \mathbf{2 . 0 0 H z} \)
A. \( 0.100 r a d / s^{2} \)
B. \( 0.637 r a d / s^{2} \)
c. 2.00 rad \( / s^{2} \)
D. 4.00 rad \( / s^{2} \)
E \( .6 .28 \mathrm{rad} / \mathrm{s}^{2} \)
Subject: Chemistry
A hydrogen-like atom(atomic number
Z) is in a higher excited state of quantum number n. This excited atom can make a transition to the first state
by successively emitting two photons of energies 10.20 eV and 17.00 eV.
Alternatively, the atom from the same excited state can make a transition to
the second excited state by emitting two photons of energies 4.24 eV and 5.95
eV. The hydrogen-like atom is :
\( \mathbf{A} \cdot \mathrm{Li}^{2} \)
B \( \cdot \mathrm{He}^{+} \)
c. \( H \)
D. none
Subject: Maths
The interval in which the function \( \mathbf{f}(\mathbf{x})=\mathbf{x}+\mathbf{e}^{-\mathbf{x}}+\tan \frac{\boldsymbol{\pi}}{\mathbf{1 2}} \) is increasing
is
\( A \cdot(-\infty, 0) \)
B. \( (1, \infty) \)
\( c \cdot(-1, \infty) \)
D. \( (0, \infty) \)
Subject: Chemistry
(A) is binary orange coloured paramnetic compound of a univalent cation. 1.422 g of (A) reacts completely with 0.321 g of sulphur ina evacuated and sealed tube to give 1.743 g of a while crystalline solid (B) that forms hydrated
double salt (C) with \( A l_{2}\left(S O_{4}\right)_{3} ; \) Here,
compounds \( (A),(B), \) and \( (C) \) are \( K O_{2} \) \( \boldsymbol{K}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) and \( \boldsymbol{K}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \cdot \boldsymbol{A} \boldsymbol{l}_{2}\left(\boldsymbol{S} \boldsymbol{O}_{4}\right)_{3} \cdot \boldsymbol{2} \boldsymbol{4} \boldsymbol{H}_{2} \boldsymbol{O} \)
respectively.
If true enter 1 , else enter 0 .
Subject: Physics
An automobile spring extends \( 0.2 \mathrm{m} \) for
\( 5000 \mathrm{N} \) load. The ratio of potential energy stored in this spring when it has been compressed by \( 0.2 \mathrm{m} \) to the potential energy stored in a \( 10 \mathrm{F} \) capacitor at a potential difference of \( 10000 \mathrm{V} \) will be:
A \( \cdot 1 / 4 \)
B.
\( c \cdot 1 / 2 \)
\( D \cdot 2 \)
Subject: Maths
Two dice are thrown The events \( A, B \)
and \( C \) are as follows:
A : getting an even number on the first die
B : getting an odd number on the first die
C : getting the sum of the numbers on the dice \( \leq 5 \)
Describe the events
(i) \( A^{\prime} \)
(ii) not \( \boldsymbol{B} \)
(iii) \( \boldsymbol{A} \) or \( \boldsymbol{B} \)
(iv) \( A \) and \( B \)
(v) \( A \) but not \( C \)
(vi) \( B \) or \( C \)
(vii) \( B \) and \( C \)
(viii) \( \boldsymbol{A} \cap \boldsymbol{B}^{\prime} \cap \boldsymbol{C}^{\prime} \)
Subject: Chemistry
A gas \( (X) \) is obtained when copper reacts with dilute HNO3. The gas thus formed reacts with oxygen to give brown fumes of (Y). (Y) when dissolved in
water gives an important acid (Z) and the \( \operatorname{gas}(X) . X, Y, \) and \( Z \) respectively are:
A \( \cdot \) NO; \( N O_{2} ; H N O_{3} \)
в. \( N O_{2} ; \) NO; \( H N O_{3} \)
\( \mathrm{c} \cdot N_{2} \mathrm{O} ; \mathrm{NO} ; \mathrm{H} N O_{2} \)
D. NO; \( N_{2} O ; H N O_{3} \)
Subject: Physics
The equation of a progressive wave is \( \boldsymbol{y}=\mathbf{0 . 5} \sin 2 \pi\left(\frac{\boldsymbol{t}}{\mathbf{0 . 0 0 4}}-\frac{\boldsymbol{x}}{\mathbf{5 0}}\right), \) where \( \boldsymbol{x} \) is
in \( c m . \) The phase difference between two points separated by a distance \( 5 \mathrm{cm} \) at any instant is :
A \( \cdot \frac{\pi}{5} \)
в.
c. \( \frac{\pi}{2} \)
D.
Subject: Chemistry
Consider following three halides:
(।) \( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\boldsymbol{C l} \)
(II) \( \boldsymbol{C H}_{2}=\boldsymbol{C H}-\boldsymbol{C l} \)
\( (\| I) \quad C_{6} H_{5} C l \)
Arrange \( C-C l \) bond length of these
compounds in decreasing order
A \( . I>I I>I I I \)
в. \( I>I I I>I I \)
c. \( I I I>I I>I \)
D. \( I I>I I I>I \)
Subject: Physics
An initially parallel cylindrical beam travels in a medium of refractive index
\( \boldsymbol{\mu}(\boldsymbol{I})=\boldsymbol{\mu}_{0}+\boldsymbol{\mu}_{2} \boldsymbol{I}, \) where \( \boldsymbol{\mu}_{0} \) and \( \boldsymbol{\mu}_{2} \)
are positive constants and lis the intensity of the light beam. The intensity of the beam is decreasing with increasing radius. The speed of light in the medium is
A. minimum on the axis of the beam
B. the same everywhere in the beam
c. directly proportional to the intensity
D. maximum on the axis of the beam
Subject: Physics
Assertion
From the relation \( Y=\frac{F l}{A \Delta l}, \) we can say
that, if length of a wire is doubled, its
Young's modulus of elasticity will also
becomes two times.
Reason
Modulus of elasticity is a material
property.
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
Evaluate the integral \( \int_{0}^{a} \sqrt{a^{2}-x^{2}} d x \)
A \( \cdot \frac{a^{2}}{4} \)
B \( \cdot \pi a^{2} \)
c. \( \frac{\pi a^{2}}{2} \)
D. \( \frac{\pi a^{2}}{4} \)
Subject: Chemistry
\( \begin{array}{ll}\text { List - I } & \text { List - II } \\ \text { I) } \Psi^{2} \text { depends only upon distance } & \begin{array}{l}\text { a) } p- \\ \text { orbitals }\end{array} \\ \begin{array}{l}\text { 11) } \Psi^{2} \text { depends upon distance and on } \\ \text { one direction }\end{array} & \begin{array}{l}\text { b) } \mathrm{d}- \\ \text { orbital }\end{array} \\ \begin{array}{l}\text { III) } \Psi^{2} \text { depends upon distance and on } \\ \text { two directions }\end{array} & \begin{array}{l}\text { c) } \mathrm{f} \text { - } \\ \text { orbital }\end{array} \\ \begin{array}{l}\text { IV) } \Psi^{2} \text { depends upon distance and on } \\ \text { three directions }\end{array} & \begin{array}{l}\text { d) } \mathrm{s} \text { - } \\ \text { orbitals }\end{array}\end{array} \)
\( A \cdot|-d,| I-c,|I|-b, \mid V-a \)
B. \( |-c,||-b,|||-a, \mid V-d \)
C. \( |-d,| I-a,|I|-b, \mid V-c \)
D. I-d, II-a, III-c, IV-b
Subject: Physics
A rectangular block \( 5 \mathrm{m} \times 4 \mathrm{m} \times 2 \mathrm{m} \) lies
on a table with its largest surface in contact with the table. The work done to
keep it so that the block rests on the smallest surface is, if its density is 600 \( \mathbf{k} \boldsymbol{m}^{-\mathbf{3}} \)
A . 352800 J
B. zero
c. \( 376000 \mathrm{J} \)
D. \( 24,0000 \mathrm{J} \)
Subject: Physics
A convex lens of focal length \( 20 \mathrm{cm} \) and another plano convex lens of focal
length \( 40 \mathrm{cm} \) are placed coaxially (see
fig). The plano convex lens is silvered on plane surface. What should be the
distance d (in cm) so that final image of
the object 'O' is formed on 0 itself?
\( A \cdot 10 \mathrm{cm} \)
B. 40 \( \mathrm{cm} \)
\( c \cdot 20 \mathrm{cm} \)
D. 80 cm
Subject: Chemistry
Assertion
Colloidal sol \( \boldsymbol{F e}(\boldsymbol{O H})_{3} \) formed by
peptization carries positive charge.
Reason

During the formation of positively
charged colloidal particles of \( \boldsymbol{F e}(\boldsymbol{O H})_{3} \)
the electrons are lost by the colloidal
particles of \( \boldsymbol{F e}(\boldsymbol{O H})_{3} \)
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 tangent and normal to the curve \( y= \)
\( 2 \sin x+\sin 2 x \) are drawn at
\( \boldsymbol{P}\left(\boldsymbol{x}=\frac{\boldsymbol{\pi}}{\boldsymbol{3}}\right) \)
then area of the quadrilateral formed by tangent, the normal at \( p \) and coordinate
axes is
A \( \frac{\pi}{3} \)
в. \( 3 \pi \)
c. \( \frac{\pi \sqrt{3}}{2} \)
D.
Subject: Physics
The longitude on which the Indian Standard Time is based is:
\( \mathbf{A} \cdot 60^{\circ} E \)
B \( \cdot 66 \frac{1^{\circ}}{2}^{E} \)
\( \mathbf{c} \cdot 72 \frac{1^{0}}{2} E \)
D. \( 82 \frac{1^{\circ}}{2}^{E} \)
Subject: Physics
Which of the above is incosistent for the
given meter bridge:
\( \begin{array}{lll}\text { 1. } & 1000 \Omega & \text { 60 cm } \\ \text { 2. } & 100 \Omega & \text { 13 cm } \\ \text { 3. } & 10 \Omega & 1.5 \mathrm{cm} \\ \text { 4. } & 1 \Omega & 1 \mathrm{cm}\end{array} \)
\( A \)
B.
\( c \)
\( D \)
Subject: Chemistry
Bond order of \( \boldsymbol{O}_{2}, \boldsymbol{O}_{2}^{+}, \boldsymbol{O}_{2}^{-} \) and \( \boldsymbol{O}_{2}^{2-} \) is in
order
A \( \cdot O_{2}^{-}<O_{2}^{2-}<O_{2}<O_{2}^{+} \)
B. \( O_{2}^{2-}<O_{2}^{-}<O_{2}<O_{2}^{-} \)
c. \( O_{2}^{+}<O_{2}<O_{2}^{-}<O_{2}^{2} \)
D. \( O_{2}<O_{2}^{+}<O_{2}^{-}<O_{2}^{2} \)
Subject: Chemistry
\( \boldsymbol{H} \boldsymbol{O}-\boldsymbol{C} \boldsymbol{H}_{2}-\boldsymbol{C} \boldsymbol{H}_{2}-\underset{_{O H}}{_{I}}-\boldsymbol{C} \boldsymbol{H}_{2}- \)
\( \boldsymbol{O H} \frac{\boldsymbol{H I O}_{4}}{\boldsymbol{\Delta}} \)
Identify the product of the above reaction.
Subject: Chemistry
Alanine forms Zwitter ion which exists
as
A. \( C H_{3}-\quad C \quad H C O O^{-} \) in a medium of \( p H=12 \)
\( C H_{3}-C_{\uparrow} H C O O \)
\( +N H_{3} \)
B. \( C H_{3}-\underset{t_{1}}{C} H C O O H \) in a medium of \( p H=4 \)
c. \( C H_{3}-C H-C O O^{-} \) in a medium of \( p H=7 \) \( C H_{3}-C H-C O O \)
\( _{N H_{2}} \)
D. None of these
Subject: Chemistry
Correct order of acidic strength.
\( (I) \)
\( (\|) \)
\( \mathbf{A} \cdot I>I I>I I I \)
B. \( I I>I I I>I \)
\( \mathbf{c} \cdot I>I I I>I I \)
D. \( I I I>I I>I \)
Subject: Chemistry
\( \Delta G^{o} \) versus \( T \) plot in the Ellingham's diagram slopes downward for which of the reaction?
\( ^{\mathbf{A}} \cdot c+\frac{1}{2} O_{2} \rightarrow C O \)
в. \( c O+\frac{1}{2} O_{2} \rightarrow C O_{2} \)
\( \mathrm{c} \cdot_{2 A g+\frac{1}{2}} O_{2} \rightarrow A g_{2} O \)
D. \( _{M g+\frac{1}{2} O_{2} \rightarrow M g O} \)
Subject: Physics
The deflection in a moving coil galvanometer falls from 50 divisions to
10 divisions when a shunt of \( 20 \Omega \) is
connected with it. The resistance of
galvanometer coil is?
A . \( 48 \Omega \)
B . \( 50 \Omega \)
\( \mathbf{c} .52 \Omega \)
D. \( 30 \Omega \)
Subject: Chemistry
When balanced using smallest, wholenumber coefficients, the correct
coefficients for the following equation
are:
\( -A l C l_{3}+_{-} H_{2} S O_{4} \rightarrow_{-} A l_{2}\left(S O_{4}\right)_{3}+_{-} \)
\( \boldsymbol{H} \boldsymbol{C l} \)
в. 2,3,1,6
\( \mathrm{c} .1,3,1,3 \)
D. 2,3,1,3
Subject: Physics
A plank with a small block on top of it is undergoing vertical SHM. Its period is 2 sec.The minimum amplitude at which the block will separate from plank is :
A \( \cdot \frac{10}{\pi^{2}} \)
в. \( \frac{\pi^{2}}{10} \)
c. \( \frac{20}{\pi^{2}} \)
D. \( \frac{\pi}{10} \)
Subject: Chemistry
For equilibrium, \( 2 N O_{2}(g) \rightleftharpoons \)
\( N_{2} O_{4}(g)+14.6 k \) cal increases of
temperature would
A. Favour the formation of \( N_{2} O_{4} \)
B. Not after the equilibrium
C. Favour the decomposition of \( N_{2} O_{4} \)
D. Stop the reaction
Subject: Maths
Find the slope of the line passing through the following pairs:
\( (0,-\sqrt{3}) \) and (3,0)
A. \( -\frac{\sqrt{3}}{3} \)
B. \( \frac{3}{\sqrt{3}} \)
c. \( -\frac{3}{\sqrt{3}} \)
D. \( \frac{\sqrt{3}}{3} \)
Subject: Physics
What does coulomb's law of attraction
and repulsion states?
\( \mathbf{A} \cdot F \) is directly proportional to \( q_{1} q_{2} \) and inversely proportional to \( \left(r_{12}\right)^{2} \)
B. F is directly proportional to \( q_{1} q_{2} \) and inversely proportional to \( \left(r_{12}\right) \)
C. \( F \) is indirectly proportional to \( q_{1} q_{2} \) and directly proportional to \( \left(r_{12}\right)^{2} \)
D. None
Subject: Chemistry
Which of the following is the formula of Sorel's cement?
A. \( K C l \cdot M g C l_{2} \cdot 6 H_{2} O \)
в. \( M g C l_{2} \cdot 5 M g O \cdot x H_{2} O \)
\( \mathbf{c} \cdot \operatorname{CaSO}_{4} \cdot 2 H_{2} O \)
D. \( M g C O_{3} \cdot C a C O_{3} \)
Subject: Chemistry
Assertion
For four half-cell reactions involving different number of electrons,
\( \boldsymbol{E}_{4}=\boldsymbol{E}_{1}+\boldsymbol{E}_{2}+\boldsymbol{E}_{3} \)
Reason
\( \boldsymbol{\Delta} \boldsymbol{G}_{4}=\boldsymbol{\Delta} \boldsymbol{G}_{1}+\boldsymbol{\Delta} \boldsymbol{G}_{2}+\boldsymbol{\Delta} \boldsymbol{G}_{3} \)
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: Chemistry
Identify the gas \( (C) \)
A \( . C O \)
в. \( C O_{2} \)
\( \mathrm{c} \cdot^{14} \mathrm{CO}_{2} \)
D. A mixture of \( ^{14} \mathrm{CO}_{2} \) and \( \mathrm{CO}_{2} \)
Subject: Maths
Assertion
Let \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{2}+\mathbf{7} \boldsymbol{x}+\boldsymbol{4} \) be a polynomial
function, then \( \boldsymbol{f}^{\prime}(\mathbf{2})=\mathbf{1 1} \)
Reason
A polynomial function is differentiable everywhere
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: Physics
A uniform meter scale can be balanced
at the \( 70.0 \mathrm{cm} \) mark when a mass
\( 0.05 k g \) is hung from the \( 94.0 c m \) mark.
Find the mass of the metre scale :
\( \mathbf{A} \cdot 6 k g \)
в. \( 0.06 \mathrm{kg} \)
c. \( 0.07 \mathrm{kg} \)
D. \( 60 \mathrm{kg} \)
Subject: Physics
Find out the acceleration of the ball
between \( t=0 \) and \( t=4 \) as shown above
velocity-time graph.
A . zero
B . \( 1 \mathrm{m} / \mathrm{s}^{2} \)
c. \( 2 m / s^{2} \)
D. \( 4 m / s^{2} \)
ह. \( 8 m / s^{2} \)
Subject: Chemistry
From the Ellingham graphs on carbon, which of the following statements is false?
A \( \cdot C O_{2} \) is more stable than \( C O \) at less than 983 k
B. \( C O \) reduces \( F e_{2} O_{3} \) to \( F e \) at less than 983 k
c. \( C O \) is less stable than \( C O_{2} \) at more than 983 k
D. \( C O \) reduces \( F e_{2} O_{3} \) to \( F e \) in the reduction zone of Blast furnace
Subject: Maths
A chord of a circle of radius \( 12 \mathrm{cm} \)
subtends an angle of \( 60^{\circ} \) at the centre.
Find the area of the corresponding segment of the circle. (Use \( \pi=3.14 \)
and \( \sqrt{\mathbf{3}}=\mathbf{1 . 7 3} \)
A \( \cdot 17.43 \mathrm{cm}^{2} \)
B. \( 13.08 \mathrm{cm}^{2} \)
\( \mathbf{c} \cdot 11.66 \mathrm{cm}^{2} \)
D. \( 9.64 c m^{2} \)
Subject: Physics
How fast should a girl of \( 40 \mathrm{kg} \) run so that her kinetic energy is 320 J?
\( A \cdot 64 \mathrm{m} / \mathrm{s} \)
B. \( 8 \mathrm{m} / \mathrm{s} \)
\( c \cdot 16 m / s \)
D. \( 4 \mathrm{m} / \mathrm{s} \)
Subject: Maths
Using the properties of determinants,
find the value of
\( \left|\begin{array}{ccc}\mathbf{0} & \boldsymbol{a} & -\boldsymbol{b} \\ -\boldsymbol{a} & \boldsymbol{0} & -\boldsymbol{c} \\ \boldsymbol{b} & \boldsymbol{c} & \boldsymbol{0}\end{array}\right| \)
Subject: Maths
Chords of the circle \( x^{2}+y^{2}+2 g x+ \)
\( 2 f y+c=0 \) subtends a right angle at
the origin. The locus of the feet of the perpendiculars from the origin to these chords is
A \( \cdot x^{2}+y^{2}+g x+f y+c=0 \)
B . \( 2\left(\mathrm{x}^{2}+\mathrm{y}^{2}\right)+\mathrm{gx}+\mathrm{fy}+\mathrm{c}=0 \)
C \( \cdot 2\left(\mathrm{x}^{2}+\mathrm{y}^{2}+\mathrm{gx}+\mathrm{fy}\right)+\mathrm{c}=0 \)
D. \( x^{2}+y^{2}+2(g x+f y+c)=0 \)
Subject: Maths
\( \left|\begin{array}{ccc}\mathbf{1}+\boldsymbol{x} & \mathbf{2} & \mathbf{3} \\ \mathbf{1} & \mathbf{2}+\boldsymbol{x} & \mathbf{3} \\ \mathbf{1} & \mathbf{2} & \mathbf{3}+\boldsymbol{x}\end{array}\right|=\mathbf{0} \operatorname{then} \boldsymbol{x}= \)
\( A \)
B. -1
\( c .-6 \)
\( D \)
Subject: Chemistry
Identify the substance in each of the following pairs of samples that has the
higher entropy?
(A) \( B r_{2}(l) \) or \( B r_{2}(g) \)
(B) \( C_{2} H_{6}(g) \) or
\( \boldsymbol{C}_{3} \boldsymbol{H}_{8}(\boldsymbol{g}) \)
(C) \( M g O(s) \) or \( N a C l(s) \)
(D) \( K O H(s) \)
or \( \boldsymbol{K} \boldsymbol{O} \boldsymbol{H}(\boldsymbol{a} \boldsymbol{q}) \)
Subject: Maths
Four point charges \( \boldsymbol{q}_{\boldsymbol{A}}=\boldsymbol{2 \mu} \boldsymbol{C}, \boldsymbol{q}_{B}= \)
\( \mathbf{5} \mu C, \boldsymbol{q}_{C}=2 \mu C, \boldsymbol{q}_{D}=5 \mu C \) are located
at the four corners of a square ABCD of side \( 10 \mathrm{cm} . \) The force on a charge of
\( 1 \mu C \) placed at the centre of the square
is
A. zero
B. Towards AB
c. Towards BC
D. Towards AD
Subject: Physics
Two waves having equation \( x_{1}= \)
\( \boldsymbol{a} \sin \left(\omega t+\mathbf{\Phi}_{1}\right) \) and \( \boldsymbol{x}_{2}=\boldsymbol{a} \sin (\boldsymbol{\omega} \boldsymbol{t}+ \)
\( \mathbf{\Phi}_{2} \) ) If in the resultant wave the
frequency and amplitude remains equals to amplitude of superimposing waves. Then phase difference between
them :
A. \( \frac{\pi}{6} \)
в. \( \frac{2 \pi}{3} \)
c. \( \frac{\pi}{4} \)
D. \( \frac{\pi}{9} \)
Subject: Physics
A resistor \( R, \) an inductor \( L \) and \( a \)
capacitor \( C \) are connected in series to a
source of frequency \( n \). If the resonant
frequency is \( n \), then the current lags behind voltage, when
\( \mathbf{A} \cdot n=0 \)
в. \( n<n_{r} \)
\( \mathbf{c} \cdot n=n_{r} \)
D \( \cdot n>n_{r} \)
Subject: Biology
Assertion
The first living organisms were heterotrophs.
Reason
They were surrounded by performed organic molecules which they used as
food.
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 concentration of \( \left[\boldsymbol{H}^{+}\right] \) and \( [\boldsymbol{O H}]^{-} \) in
a 0.1 M aqueous solution of \( 2 \% \) ionised
weak monobasic acid is
\( \left[\text { ionicproducto fwater }=1 \times 10^{-14}\right] \)
A \( \cdot 0.02 \times 10^{-3} \) M and \( 5 \times 10^{-11} \) M
B. \( 1 \times 10^{-3} \) M and \( 3 \times 10^{-11} \) M
C . \( 2 \times 10^{-3} \) M and \( 5 \times 10^{-12} \) M
D. \( 3 \times 10^{-2} \) M and \( 4 \times 10^{-13} \) M