AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
The enthalpy of combustion of propane
\( C_{3} H_{8} \) ) gas in terms of given data is :
Bond energy (kJ/mol)
\[
\begin{array}{llll}
\varepsilon_{C-H} & \varepsilon_{O=O} & \varepsilon_{C-=0} & \varepsilon_{O-H} \\
+x_{1} & +x_{2} & +x_{3} & +x_{4}
\end{array}
\]
Resonance energy of \( C O_{2} \) is \( -z k J / m o l \) and \( \Delta \boldsymbol{H}_{\text {vaporization}}\left[\boldsymbol{H}_{\mathbf{2}} \boldsymbol{O}(\boldsymbol{l})\right] \) is
\[
\boldsymbol{y}(\boldsymbol{k} \boldsymbol{J} / \boldsymbol{m o l})
\]
A \( \cdot 8 x_{1}+2 x_{5}+5 x_{2}-6 x_{3}-8 x_{4}-4 y-3 z \)
B . \( 6 x_{1}+x_{5}+5 x_{2}-3 x_{3}-4 x_{4}-4 y-3 z \)
c. \( 8 x_{1}+2 x_{5}+5 x_{2}-6 x_{3}-8 x_{4}-y-z \)
D. \( 8 x_{1}+x_{5}+5 x_{2}-6 x_{3}-8 x_{4}-4 y+3 z \)
Subject: Physics
A remote-sensing satellite of earth revolves in a circular orbit at a height of
\( 0.25 \times 10^{5} \mathrm{m} \) above the surface of earth
If earth's radius is \( 6.38 \times 10^{6} \mathrm{m} \) and
\( \boldsymbol{g}=\mathbf{9 . 8} \quad \boldsymbol{m} \boldsymbol{s}^{-2}, \) then the orbital speed
of the satellite is
A \( .6 .67 \mathrm{Kms}^{1} \)
B. \( 7.92 \mathrm{Kms}^{1} \)
c. \( 8.56 \mathrm{Kms}^{1} \)
D. \( 9.13 \mathrm{Kms}^{1} \)
Subject: Maths
Find the value of \( \boldsymbol{x}+\boldsymbol{y} \) if \( \left[\begin{array}{cc}\boldsymbol{x} & \mathbf{7} \\ \mathbf{9} & \boldsymbol{y}-\mathbf{5}\end{array}\right]+\left[\begin{array}{cc}\mathbf{6} & -\mathbf{7} \\ \mathbf{4} & \mathbf{5}\end{array}\right]=\left[\begin{array}{cc}\mathbf{1 0} & \mathbf{7} \\ \mathbf{2 2} & \mathbf{1 5}\end{array}\right] \)
Subject: Physics
To test the quality of a tennis ball, you
drop it onto the floor from a height of
\( 4.00 \mathrm{m} . \) It rebounds to a height of \( 2.00 \mathrm{m} \) If the ball is in contact with the floor for
\( 12.0 \mathrm{ms}, \) what is its average acceleration during that contact? Take \( \boldsymbol{g}=\mathbf{9} \mathbf{8} \boldsymbol{m} / \boldsymbol{s}^{2} \)
Subject: Physics
A neutral particle is at rest in a uniform magnetic field \( \bar{B} \). At \( t=0 \), particle decays into two particles each of mass
\( m^{\prime} \) and one of them having charge \( ^{\prime} q^{\prime} \)
Both of these move off in separate paths lying in plane perpendicular to \( \bar{B} \). At later time, the particles collide. If this time of collision is \( x \pi m / q B \) then \( x \) is (neglecting the interaction force).
Subject: Maths
If one of the diagonals of a square is along the line \( x=2 y \) and one of its
verices is \( (3,0), \) then its side through this vertex nearer to the origin is given by the equation.
A. \( y-3 x+9=0 \)
В. \( 3 y+x-3=0 \)
c. \( x-3 y-3=0 \)
D. \( 3 x+y-9=0 \)
Subject: Physics
For a pair production, the minimum
frequency of the gamma ray must be:
A \( \cdot 2.5 \times 10^{14} \mathrm{Hz} \)
B. \( 2.5 \times 10^{20} \mathrm{Hz} \)
C \( \cdot 2.5 \times 10^{28} \mathrm{Hz} \)
D. \( 2.5 \times 10^{34} \mathrm{Hz} \)
Subject: Chemistry
\( 1.5 \mathrm{g} \) of a monobasic acid, when dissolved in 150 g of water, lowers the freezing point by \( 0.165^{\circ} \mathrm{C} .0 .5 \mathrm{g} \) of the same acid when titrated, after
dissolution in water, requires \( 37.5 \mathrm{ml} \) of N/10 alkali. Calculate the degree of
dissociation of the acid \( ?\left(K_{f} \text { for water }=\right. \) \( \left.1.86^{\circ} \mathrm{C} \mathrm{mol}^{-1}\right) \)
A . \( 11.34 \% \)
в. \( 34.64 \% \)
c. \( 65.36 \% \)
D. \( 89.64 \% \)
Subject: Maths
If sec \( \alpha \) and \( \csc \alpha \) are the roots of \( x^{2}- \)
\( \boldsymbol{p} \boldsymbol{x}+\boldsymbol{q}=\boldsymbol{0} \) then
A \( \cdot p^{2}=q(q-2) \)
B . \( p^{2}=q(q+2) \)
c. \( p^{2}+q^{2}=2 q \)
D・ \( p^{2}+q^{2}=1 \)
Subject: Chemistry
In a first order reaction, the
concentration of the reactant decreases
from \( 0.8 ~ M \) to 0.4 in 15 minutes. The
time taken for the concentration to
change from \( 0.1 \mathrm{M} \) to \( 0.025 \mathrm{M} \) is:
A. 30 min
B. 40 min
\( c .35 \) min
D. 25 min
Subject: Maths
If \( \boldsymbol{x}=\boldsymbol{a} \sin 2 \boldsymbol{t}(1+\cos 2 t) \) and \( \boldsymbol{y}= \)
\( b \cos 2 t(1-\cos 2 t), \) find the values of
\( \frac{d y}{d x} \) at \( t=\frac{\pi}{4} \) and \( t=\frac{\pi}{3} \)
OR
If \( \boldsymbol{y}=\boldsymbol{x}^{x}, \) prove that \( \frac{\boldsymbol{d}^{2} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}^{2}}-\frac{1}{\boldsymbol{y}}\left(\frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}\right)^{2}- \)
\( \frac{\boldsymbol{y}}{\boldsymbol{x}}=\mathbf{0} \)
Subject: Physics
Take a thin thermocol sheet. Cut it in
circular discs of different radii like
\( 2 c m, 3 c m, 4 c m, 4.5 c m, 5 c m \) etc and
mark centers with sketch pen. Now take
needles of length nearly 6 cm. Pin a
needle to each disc at its centre
vertically. Take water in a large opaque tray and place the disc with 2 cm radius
in such a way that the needle is inside
the water as shown in fig. Now try to
view the free end (head) of the needle
from surface of the water
Are you able to see the head of the
needle?
Subject: Chemistry
If \( \Delta S=\frac{q_{r e v}}{T}, \) then choose the incorrect
statement(s).
This question has multiple correct options
A. \( \Delta S \) is defined only for reversible process.
B. For irreversible process and same process taking place reversibly, \( \Delta S \) is same
C. \( \Delta S_{s y s} \) is always negative for irreversible process
D. None of the above
Subject: Physics
Match the appropriate pairs from Lists
and \( \|: \)
ListList - II
e) Continuous
a) Nitrogen molecule \( \quad \) spectrum
f) Absorption
b) Incandescent solids \( \quad \) spectrum
c) Fraunhofer lines
g) Band spectrum
d) Electric arc between iron
h) Emission rods \( \quad \) spectrum
\( A \cdot a-g, b-e, c-f, d-h \)
B. \( a-f, b-e, c-h, d-g \)
\( \mathbf{C} \cdot a-h, b-e, c-f, d-g \)
D. a-e, b-g, c-h, d-f
Subject: Physics
A man getting down a running bus, falls
forward because:
A. due to inertia of rest, road is left behind and man reaches forward
B. due to inertia of motion upper part of body continues to be in motion in forward direction while feet come to
rest as soon as they touch the road
C. he leans forward as a matter of habit
D. of the combined effect of all the three factors stated in
(A), (B) and (C)
Subject: Physics
A step-down transformer with an efficiency of \( 80 \% \) is used on a 1000 v line to deliver \( 10 \mathrm{A} \) at \( 100 \mathrm{V} \) at the
secondary coil. The Current drawn from the line is
A . \( 1.5 \mathrm{A} \)
B. 2 A
\( c \cdot 3 A \)
D. 1.25 A
E. 1 A
Subject: Physics
A ball reaches a wall at \( 60 \mathrm{m} / \mathrm{s} \) along +ve X direction, and leaves the wall in
the opposite direction with the same speed. Assuming that the mass of the ball as \( 50 \mathrm{gm} \) and the contact time is 0.02 second, the force exerted by the wall on the ball is
A. 300 N along + X direction
B. 300 N along - X direction
c. \( 3,00,000 \mathrm{N} \) along \( +\mathrm{x} \) direction
D. 3,00,000 N along - X direction
Subject: Chemistry
The electrophilic aromatic substitution
of a compound \( C_{6} H_{5} Y \) produces
mainly a meta -disubstituted product. Among the following which one could be the substituent Y?
\( \mathbf{A} \cdot-N H_{2} \)
в. \( -C O O H \)
\( \mathrm{c} \cdot-C H_{3} \)
D. \( -O C H_{3} \)
Subject: Maths
Let \( P(n): n^{2}+n \) is an odd integer. It
is seen that truth of \( P(n) \Rightarrow \) the truth of \( P(n+1) . \) Therefore, \( P(n) \) is true for all
\( A \cdot n>1 \)
B.
\( c \cdot n>2 \)
D. None of these
Subject: Physics
If the average life time of an excited state of hydrogen is of the order of \( 10^{-8} s, \) estimate how many orbits an electron makes when it is in the state
\( n=2 \) before it suffers a transition to
state \( n=2\left(\text { Bohr radius } a_{0}=5.3 \times\right. \)
\( \left.10^{-11} m\right) ? \)
Subject: Chemistry
Select the correct options about the solubility of the following species in
\( \boldsymbol{H}_{2} \boldsymbol{O} \) and \( \boldsymbol{N} \boldsymbol{H}_{3}(\mathbf{a q}) \)
\( A g F, A g C N, A g C l, A g l, C a F_{2}, C a C l_{2} \)
This question has multiple correct options
A \( . A g F \) and \( C a C l_{2} \) are soluble in \( H_{2} O \)
B. \( A g C N \) and \( A g C l \) are soluble in \( N H_{3} \)
c. \( A g I \) and \( C a F_{2} \) are soluble in \( H_{2} O \) and \( N H_{3} \) (aq) both
D. None of these
Subject: Physics
\( \mathbf{8}^{214} \boldsymbol{B} \boldsymbol{i} \quad \boldsymbol{\alpha}-e m i s s i o n \quad \boldsymbol{A} \quad \boldsymbol{\beta}-e m i s s i o \boldsymbol{n} \)
\( \boldsymbol{B} \stackrel{\boldsymbol{\beta}-\text {emission}}{\longrightarrow} \boldsymbol{C} \quad \boldsymbol{\beta}- \)emission
\( \boldsymbol{D} \stackrel{\boldsymbol{\alpha}-\boldsymbol{e} \boldsymbol{m} i \boldsymbol{s} \boldsymbol{s} i \boldsymbol{o} \boldsymbol{n}}{\boldsymbol{}} \boldsymbol{E} \)
\( E^{\prime} \) is an element of stable nucleus.
What is the element' \( ' E \) '?
\( \mathbf{A} \cdot_{81}^{207} T l \)
B. 206
82 \( \mathrm{Pb} \)
C \( \cdot 206 \)
80 \( \mathrm{Hg} \)
D. 206
79
Subject: Maths
In the figure,A and B are the centres of
the two intersecting circles.Which
Euclid's axiom will prove that the \( \triangle A B C \) is an equilateral triangles?
A. If equals are added to equals,the wholes are equal.
B. Things which are double of the same things are equal to one another
c. Things which are equal to the same thing are equal to one another.
D. If equals are subtracted from equals,the remainders are equal.
Subject: Physics
Which of the following is the radio isotope in this pair? \( \mathbf{1 2} \mathbf{C}, \mathbf{1 4} \mathbf{C} \)
\( \mathbf{6} \)
A \( \cdot \frac{12 C}{6} \)
B. \( 14 C \)
c. Both of them
D. None of them
Subject: Physics
A particle is moving in a straight line at
\( \boldsymbol{t}=\mathbf{0}, \boldsymbol{x}=\mathbf{0}, \) velocity is \( \mathbf{9} \boldsymbol{m} \boldsymbol{s}^{-1} . \) If graph
shows the variation of acceleration \( (\boldsymbol{a}) \)
with time ( \( t \) ) of a moving particle then:
A. Its velocity can become zero
C. Minimum velocity possible is \( 5 \mathrm{ms}^{-1} \)
D. Minimum velocity possible is \( 6 \mathrm{ms}^{-1} \)
Subject: Physics
In a young's double-slit experiment, the
slits are separated by \( 0.5 m m, \) and the
screen is placed \( 150 c m \) away. A beam of light consisting of two wavelengths,
\( 650 n m, \) and \( 520 n m, \) is used to obtain
interference fringes on the screen. The
least distance from the common central
maxima to the point where the bright
fringes due to both the wavelengths
coincide is:
\( \mathbf{A} \cdot 9.75 m m \)
B. \( 15.6 m m \)
c. \( 1.56 m m \)
D. \( 7.8 m m \)
Subject: Chemistry
Select correct statement(s).
\( \mathbf{A} \cdot P u^{4+} \) disproportionates to \( P u^{3+} \) and \( P u O_{2}^{2+} \) in strongly acidic solution
B. Maximum oxidation state of Np is +7
\( \mathrm{C} \cdot U \mathrm{O}_{2}^{2+} \) is stable
D. All of the above are correct statement
Subject: Physics
A radio station transmits waves of
wavelength \( 400 \mathrm{m} \). If the speed of the waves is \( 4 \times 10^{8} m s^{-1} \), Find the
frequency of the radio station
\( \mathbf{A} \cdot 1 \mathrm{MHz} \)
в. 2 МНz
c. 4 Мнz
D. 5 Мнд
Subject: Physics
A nichrome wire \( 1 \mathrm{m} \) long and \( 1 \mathrm{mm}^{2} \) in
crosssectional area draws 4 ampere at
2 volt. The resistivity of nichrome is
A \( \cdot 1 \times 10^{-7} n m \)
В. \( 2 \times 10^{-7} n m \)
c. \( 4 \times 10^{-7} n m \)
D. \( 5 \times 10^{-7} n m \)
Subject: Maths
If \( A=\{1,2,3\} B=\{4,5\}, \) then find \( A-B \)
\( A \cdot\{1,4,5\} \)
B. \{1,4,3\}
\( c \cdot\{1,2,3\} \)
\( D \cdot\{4,5\} \)
Subject: Chemistry
Identify the salts which on heating produce mixture of gases. This question has multiple correct options
A. \( N a N O_{3} \)
В \( \cdot \operatorname{Pb}\left(\mathrm{NO}_{3}\right)_{2} \)
c. \( c u\left(N O_{3}\right)_{2} \)
D. \( K N O_{3} \)
Subject: Chemistry
Which of the following compounds
favours \( \boldsymbol{S}_{N} \) 2 mechanism?
A. \( C H_{3}-C H_{2}-B r \)
в. \( C H_{3}-O-C H_{2} B r \)
\( \mathbf{c} \cdot C_{6} H_{5}-C O-C H_{2} B r \)
D. \( C H_{3}-C\left(C H_{3}\right)_{2} C H_{2} B r \)
Subject: Physics
Five identical plates are connected
across a battery as shown. If the charge
on plate 1 be \( +q, \) then the charges on the plates 2,3,4 and 5 are:
\( \mathbf{A} \cdot-q,+q,-q,+q \)
в. \( -2 q,+2 q,-2 q,+q \)
c. \( -q,+2 q,-2 q,+q \)
D. none of the above
Subject: Physics
An electromagnetic wave passing
through vacuum is described by the
equations. \( \boldsymbol{E}=\boldsymbol{E}_{0} \sin (\boldsymbol{k} \boldsymbol{x}-\boldsymbol{\omega} \boldsymbol{t}) \) and
\( B=B_{0} \sin (k x-\omega t) . \) Then
A \( \cdot E_{0} k=B_{0} \omega \)
в. \( E_{0} \omega=B_{0} k \)
c. \( E_{0} B_{0}=\omega k \)
D. \( E_{0}=B_{0} \)
Subject: Maths
Given lines \( : 4 x+3 y=3 \) and \( 4 x+ \)
\( 3 y=12 . \) One of the possible equations
of straight line passing through (-2,-7) and making an intercept of length 3 between the given lines is
A . \( y=-7 \)
В. \( 4 x+3 y=-29 \)
c. \( 3 x-4 y=22 \)
D. \( 7 x+24 y+182=0 \)
Subject: Chemistry
For which of the following reaction, will
\( \triangle \mathrm{H} \) be equal to \( \triangle \mathrm{E} ? \)
\( \mathbf{A} \cdot H_{2}(g)+\frac{1}{2} O_{2}(g) \rightarrow H_{2} O(l) \)
B . \( H_{2}(g)+I_{2}(g) \rightarrow 2 H I(g) \)
\( \mathbf{c} \cdot 2 N O_{2}(g) \rightarrow N_{2} O_{4}(g) \)
D \( \cdot 2 \operatorname{SO}_{3}(g) \rightarrow 2 \operatorname{SO}_{2}(g)+O_{2}(g) \)
Subject: Physics
A student measures the terminal
potential difference (V) of a cell ( of emf
\( \mathrm{E} \text { and internal resistance } r) \) as a
function of the current
(I) flowing through it. The slope and intercept of the graph between \( V \) and \( I \), then respectively equal
A. -rand E
B. rand-E
c. - - and R
D. E and -r
Subject: Physics
If a conductance of a conductor (G) is \( \frac{I^{2} t}{W}, \) where I is current, t is time and \( w \) is work done then write the unit of
conductance expressed in terms of fundamental units.
A. \( \frac{A^{2} s^{3}}{k g} m^{2} \)
в. \( \frac{A^{3} s^{2}}{k g} m^{2} \)
c. \( \frac{A^{2} s^{3}}{k g} m^{1} \)
D. \( \frac{A^{3} s^{2}}{k g \quad m^{1}} \)
Subject: Chemistry
Select most stable complex:
A \( \cdot\left[\operatorname{Co}\left(H_{2} O\right)_{6}\right]^{3} \)
B. \( \left[\operatorname{Co}\left(N H_{3}\right)_{2}(e n)_{2}\right]^{+3} \)
\( \mathbf{c} \cdot\left[C o(e n)_{3}\right]^{+3} \)
D. \( \left[\operatorname{Co}\left(N H_{3}\right)_{4}(e n)\right]^{+3} \)
Subject: Maths
One bag contains 3 white balls, 7 red balls and 15 black balls. Another bag contains 10 white balls, 6 red balls and 9
black balls. One ball is taken from each
bag. What is the probability that both the balls will be of the same colour?
A \( \cdot 207 / 625 \)
B. \( 191 / 625 \)
c. \( 23 / 625 \)
D. \( 227 / 625 \)
Subject: Maths
\( \frac{1}{2}-\frac{1}{2^{2} \cdot 2}+\frac{1}{2^{3} \cdot 3}-\frac{1}{2^{4} \cdot 4}+\ldots \infty= \)
A \( . \log 2 \)
B. \( \log 3 \)
\( \mathrm{c} \cdot \log \frac{3}{2} \)
D. \( \log _{3} \frac{2}{3} \)
Subject: Chemistry
\( \mathbf{0 . 1} \boldsymbol{g} \boldsymbol{C a} \boldsymbol{C O}_{3} \) will contain:
A. \( 0.1 N_{A} C a^{2-} \) ion
B. \( 0.01 N_{A} C a^{2+} \) ion
c. \( 0.001 N_{A} C a^{2+} \) ion
D. \( N_{A} C a^{2+} \) ion
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{cc}\mathbf{2} & \mathbf{1} \\ -\mathbf{1} & \mathbf{2}\end{array}\right], \boldsymbol{B}=\left[\begin{array}{cc}\mathbf{1} & -\mathbf{2} \\ \mathbf{2} & \mathbf{1}\end{array}\right], \boldsymbol{C}= \)
\( \left[\begin{array}{cc}1 & -3 \\ 2 & 1\end{array}\right], \) then which of the following is
true
A \( . A+B=B+A \) and \( A+(B+C)=(A+B)+C \)
B. \( A+B=B+A \) and \( A C=B C \)
c. \( A+B=B+A \) and \( A B=B C \)
D. \( A C=B C \) and \( A=B C \)
Subject: Chemistry
Consider the following statements
about sucrose and choose the wrong
statement.
A. Hydrolysis of sucrose with dilute acid yields an equimolar mixture of D-glucose and D-fructose
B. Acid hydrolysis of sucrose is accompanied by a change in optical rotation
C. In sucrose, the glycosidic linkage is between \( C-1 \) of glucose and \( \mathrm{C}-2 \) of fructose
D. Aqueous solution of sucrose exhibits mutarotation
Subject: Physics
If the temperature of a wire of length
\( 2 m \) area of cross-section \( 1 \mathrm{cm}^{2} \) is
increased from \( 0^{\circ} C \) to \( 80^{\circ} C \) and is not
allowed to increase in length, then force
required for it is \( \left\{\boldsymbol{Y}=\mathbf{1 0}^{\mathbf{1 0}} \boldsymbol{N} / \boldsymbol{m}^{2}, \boldsymbol{\alpha}=\right. \)
\( \left.10^{-6} /^{o} C\right\} \)
A . \( 80 N \)
в. \( 160 N \)
c. \( 400 N \)
D. \( 120 N \)
Subject: Chemistry
The ratio of mass percent of \( C \) and \( H \) of
an organic compound \( \left(C_{X} H_{Y} O_{Z}\right) \) is
\( \mathbf{6}: 1 . \) If one molecule of the above
compound \( \left(C_{X} H_{Y} O_{Z}\right) \) contain half as much oxygen as required to burn one
molecule of compound \( C_{X} H_{Y} \)
completely to \( C O_{2} \) and \( H_{2} O . \) The
empirical formula of compound
\( C_{X} H_{Y} O_{Z} \) is :
A \( \cdot C_{3} H_{4} O_{2} \)
в. \( C_{2} \) Н \( _{4} \) О \( _{3} \).
\( \mathrm{c} \cdot C_{3} H_{6} O_{3} \)
D. \( C_{2} H_{4} O \)
Subject: Chemistry
Daniel cell can be represented in which of the following way?
A \( \cdot Z n_{(s)}\left|Z n_{(a q)}^{2+}\right|\left|C u_{(s)}\right| C u_{(a q)}^{2} \)
B. \( Z n_{(s)}\left|Z n_{(a q)}^{2+}\right|\left|C u_{(a q)}^{2+}\right| C u_{(s)} \)
c. \( C u_{(s)}\left|C u_{(a q)}^{2+}\right|\left|Z n_{(a q)}^{2+}\right| Z n_{(s)} \)
D. \( Z n_{(a q)}^{2+}\left|Z n_{(s)}\right|\left|C u_{(a q)}^{a+}\right| C u_{(s)} \)
Subject: Maths
Find the mean deviation from the mean
of the following data:
\[
\boldsymbol{x}_{1}
\]
\[
\begin{array}{ccccccccc}
2 & 5 & 6 & 8 & 10 & 12 \\
\hline & f_{1} & 2 & 8 & 10 & 7 & 8
\end{array}
\]
Subject: Physics
A simple pendulum is released from \( \boldsymbol{A} \)
as shown in figure. If \( m \) and \( l \) represent
the mass of the bob and the length of
the pendulum respectively, the gain in
kinetic energy at \( B \) is then
A \( \cdot \frac{m g}{2} \)
B. \( \frac{m g}{\sqrt{2}} \)
\( c \)
D. \( \frac{2}{\sqrt{3}} m g l \)
Subject: Chemistry
Assertion
Benzene (boiling point \( 353 K \) ) and
methanol (boiling point \( 338 K \) ) are
separated by simple distillation.
Reason

Fractional distillation is used to
separate two liquids from their mixture
when their boiling points differ by \( 25^{\circ} C \)
or less.
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 incorrect but Reason is correct
D. Both Assertion and Reason are incorrect
Subject: Physics
In a series L.C.R circuit, the potential drop across \( L, C \) and \( R \) respectively are \( 40 V, 120 V \) and \( 60 V . \) Then the source
voltage is
\( \mathbf{A} \cdot 220 V \)
B. \( 160 V \)
\( \mathbf{c} \cdot 180 V \)
D. \( 100 V \)
Subject: Physics
When \( \mathbf{U}^{238} \) nucleus originally at rest.
decays by emitting an alpha particle
having a speed 'u', the recoil speed of the residual nucleus is
A \( \cdot \frac{4 \mathrm{u}}{238} \)
в. \( -\frac{4 \mathrm{u}}{234} \)
c. \( \frac{4 \mathrm{u}}{234} \)
D. \( -\frac{4 \mathrm{u}}{238} \)
Subject: Chemistry
Identify \( (A) \) and \( (B) \) based on following
results:

Colourless salt \( (A)+ \) dil. \( H C l \rightarrow \) White \( \operatorname{ppt}(B) \) soluble in hot water
In the reaction, vinegar smell is also observed.
A \( \cdot\left(\text { A) } P b\left(C H_{3} C O O\right)_{3} ; \text { (B) } P b C l_{2}\right. \)
B . (A) \( P b\left(C H_{3} C O O\right)_{2} ; \) (В) \( P b C l_{3} \)
c. (A) \( P b\left(C H_{3} C O O\right)_{2} ; \) (В) \( P b C l_{2} \)
D \( \cdot\left(\text { A) } P b\left(C H_{3} C O O\right)_{3}\right. \)
, (В) \( P b C l_{3} \)
Subject: Physics
A ball is bouncing down a flight of stairs. The coefficient of restitution is \( e \)
The height of each step is \( d \) and the ball descends one step each bounce. After each bounce it rebounds to a height \( h \)
above the next lower step. The height is large compared with the width of step so that the impacts are effectively head-on. Find the relationship between
\( \boldsymbol{h} \) and \( \boldsymbol{d} \)
A \( \cdot h=\frac{d}{1-e^{2}} \)
в. \( h=\frac{d}{1+e^{2}} \)
c. \( h=\frac{d}{1+e} \)
D. \( h=\sqrt{\frac{d}{1-e^{2}}} \)
Subject: Chemistry
Select the incorrect statements among
the following.
(i) Bitumen is used for metalling the
roads.
(ii) Some inexhaustible natural
resources like coal, petroleum and
natural gas formed from the dead remains of living organisms are known as fossil fuels.
(iii) Many useful substances are obtained from coal (commercial
importance), so it is also called as Black gold'.
(iv) Natural gas is used as starting
material for the manufacture of a
number of chemicals and fertilizers.
A. (i) and (ii)
B. (ii) and (iii)
c. (ii),(iii) and (iv)
D. All are correct
Subject: Physics
Assertion
Specific heat does not depend upon the mass of the substance.
Reason
Thermal capacity depends on the mass of the substance.
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 copper wire is held at the two ends
between two rigid supports. At \( 30^{\circ} \mathrm{C} \) the wire is just taut,with negligible tension. If \( \boldsymbol{Y}=\mathbf{1 3} \times \mathbf{1 0}^{\mathbf{1 1}} \mathbf{N m}^{-\mathbf{2}}, \boldsymbol{\alpha}= \)
\( 1.7 \times 10^{-5}\left(^{\circ} C\right)^{-1} \) and density \( \rho=9 \times \)
\( 10^{3} k g m^{-3}, \) then the speed of
transverse wave in this wire at \( 10^{\circ} \mathrm{C} \) is:
A \( \cdot 90 m s^{-1} \)
B. \( 70 m s^{-1} \)
\( \mathrm{c} \cdot 60 \mathrm{ms}^{-1} \)
D. \( 100 \mathrm{ms}^{-1} \)
Subject: Maths
Compute the modal class of the scores of the students in a Mathematics VIII
test.
21 \( \begin{array}{llll}\text { class } & 12- & 15- & 1 \\ \text { score } & 15 & 18 & 2\end{array} \) 21 24
frequency 2
A . \( 15-18 \)
в. \( 24-27 \)
c. \( 27-30 \)
D. \( 30-33 \)
Subject: Maths
In the figure, \( C D \) and \( R S \) are
respectively the medians of \( \triangle A B C \) and
\( \triangle P Q R \) If \( \triangle A B C \sim \triangle P Q R, \) prove that
(i) \( \triangle A D C \sim \triangle P S R \)
(ii) \( \frac{C D}{R S}=\frac{A B}{P Q} \)
Subject: Maths
The mean deviation from the mean of
the series \( a, a+d, a+2 d, \dots a+2 n d \)
is
A \( \cdot n(n+1) d \)
B. \( \frac{n(n+1) d}{2 n+1} \)
c. \( \frac{n(n+1) d}{2 n} \)
D. \( \frac{n(n-1) d}{2 n+1} \)
Subject: Chemistry
Assertion
Ranitidine is used to treat hyperacidity and brompheniramine is used to treat hypersensitivity.
Reason
Both of these drugs are antihistamines.
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
Mark the following statements as true or false
(i) Ordinary hydrogen is a mixture of 75
\( \% \) ortho and \( 25 \% \) para-forms
(ii) All the four atoms of moleculle of
\( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \) lie in the same plane.
(iii) Hydrogen peroxide is neutral like
water.
(iv) \( H_{2} O_{2} \) can be prepared from \( B a O_{2} \)
but not from \( M n O_{2} \) and \( P b O_{2} \)
A. \( (i) \) and \( (i v)- \) true \( (i i) \) and \( (i i i)- \) false
B. \( (i) \) and \( (i i)- \) true \( (i v) \) and \( (i i i)- \) false
C. \( (i i i) \) and \( (i v)- \) true \( (i i) \) and \( (i i)- \) false
D. \( (i) \) and \( (i i i)- \) true \( (i i) \) and \( (i v)- \) false