AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
The tiocyanate ion has a formula of
\( S C N^{-} . \) When asked to draw the Lewis
Structure for thiocyanate, you came up with the following three drawings:
Which of the three drawings is/are correct?
\( : \ddot{\mathrm{s}}=\mathrm{c}=\ddot{\mathrm{n}}: \quad \ddot{\mathrm{s}} \equiv \mathrm{c}-\ddot{\mathrm{N}}: \)
\( : \ddot{\mathrm{S}} \)
This question has multiple correct options
A. The picture on the left is valid
B. The picture on the middle is valid
c. The picture on the right is valid
D. All three pictures are equally valid.
Subject: Physics
The resistance of wire in a heater at
room temperature is \( 65 \Omega \). When the heater is connected to a 220 V supply
the current settles after a few seconds
to \( 2.8 \mathrm{A} \). What is the steady temperature of the wire. (Temperature coefficient of
resistance \( \boldsymbol{\alpha}=\mathbf{1 . 7 0} \times \mathbf{1 0}^{-\mathbf{4} \circ} \boldsymbol{C}^{-\mathbf{1}} \mathbf{)} \)
A \( .955^{\circ} \mathrm{C} \)
B. \( 1055^{\circ} \mathrm{C} \)
\( \mathrm{c} \cdot 1155^{\circ} \mathrm{C} \)
D. \( 1258^{\circ} \mathrm{C} \)
Subject: Physics
The mass of the Jupiter is \( 1.9 \times 10^{27} k g \)
and that of the sun is \( 1.99 \times 10^{38} k g \).
The mean distance of the Jupiter from the sun is \( 7.8 \times 10^{11} \) m. Speed of the
Jupiter is (assuming that Jupiter moves in a circular orbit around the sun)
A \( \cdot 1.304 \times 10^{4} \mathrm{m} / \mathrm{sec} \)
в. \( 13.04 \times 10^{4} \mathrm{m} / \mathrm{sec} \)
c. \( 1.304 \times 10^{6} \mathrm{m} / \mathrm{sec} \)
D. \( 1.304 \times 10^{2} \mathrm{m} / \mathrm{sec} \)
Subject: Maths
If \( y=\frac{x^{2}}{2}+\frac{1}{2} \times \sqrt{x^{2}+1}, \) then \( 2 y= \)
\( x y^{\prime}, \) where \( y^{\prime} \) denotes the derivative of \( y \)
w.r.t. \( \boldsymbol{x} \)
A. True
B. False
Subject: Maths
\( \boldsymbol{L} \boldsymbol{t}_{n \rightarrow \infty} \boldsymbol{n} \cos \left(\frac{\boldsymbol{\pi}}{\boldsymbol{n}}\right) \sin \left(\frac{\boldsymbol{2} \boldsymbol{\pi}}{\mathbf{3} \boldsymbol{n}}\right)= \)
A \( \cdot \frac{2 \pi}{3} \)
B.
\( c . \pi \)
D.
Subject: Maths
\( \cos 1^{\circ} \cos 2^{\circ} \cos 3^{\circ} \dots \dots \dots \dots \dots \cos 90^{\circ} \)
\( \mathbf{A} \cdot \mathbf{0} \)
B . -1
\( \mathbf{c} \cdot 1 \)
D. None of these
Subject: Maths
If \( x \neq y \) and the sequences \( x, a_{1}, a_{2}, y \)
and \( x, b_{1}, b_{2}, y \) each are in \( A . P ., \) then \( \left(\frac{a_{2}-a_{1}}{b_{2}-b_{1}}\right) \)
A \( \cdot \frac{2}{3} \)
B. \( \frac{3}{2} \)
c. 1
D.
Subject: Maths
Let \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{3} \) and \( \boldsymbol{g}(\boldsymbol{x})=\boldsymbol{3}^{x} \). The values
of \( \boldsymbol{A} \) such that \( \boldsymbol{g}[\boldsymbol{f}(\boldsymbol{A})]=\boldsymbol{f}[\boldsymbol{g}(\boldsymbol{A})] \) are
A . 0.2
в. 1,3
c. 0,±3
D. 1,±2
E. \( 0, \pm \sqrt{3} \)
Subject: Chemistry
Combustion of glucose takes place according to the equation.
\( \boldsymbol{C}_{6} \boldsymbol{H}_{12} \boldsymbol{O}_{6}+\boldsymbol{6} \boldsymbol{O}_{2} \rightarrow \boldsymbol{6} \boldsymbol{C} \boldsymbol{O}_{2}+ \)
\( 6 H_{2} O \triangle H=0=-72 k-c a l \)
The energy required for combustion of \( 1.6 g \) of glucose is:
A \( .0 .064 k- \) cal \( l \)
B. \( 0.64 k- \) cal
c. \( 6.4 k-c a l \)
D. \( 64 k- \) cal
Subject: Maths
If a variate takes values
\( a, a r, a r^{2}, \ldots \ldots a r^{n-1} \) which of the
relation between means hold?
A \( . A H=G^{2} \)
в. \( \frac{A+H}{2}=G \)
c. \( A>G>H \)
D. \( A=G=H \)
Subject: Physics
Four persons \( A, B, C \) and \( D \) at the corners
of an square of side \( X \) move at a
constant speed \( V . \) Each person
maintains a direction towards the
person at the next corner. The time, the persons take to meet each other is
A \( \cdot \frac{2 X}{3 V} \)
в. \( \frac{2 X}{V} \)
\( c \cdot \frac{X}{V} \)
D. \( \frac{3 X}{4 V} \)
Subject: Maths
\( \vec{A} \) and \( \vec{B} \) are two vectors, find the angle
between them, if \( |\overrightarrow{\boldsymbol{A}} \times \overrightarrow{\boldsymbol{B}}|=\sqrt{\mathbf{3}}(\overrightarrow{\boldsymbol{A}} \cdot \overrightarrow{\boldsymbol{B}}) \) the value of is :-
A \( .90^{\circ} \)
В. \( 60^{\circ} \)
\( c \cdot 45 \)
D. 30
Subject: Maths
If \( \boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{ll}\boldsymbol{x} & \text { for }-\boldsymbol{3}<\boldsymbol{x} \leq-1 \\ |\boldsymbol{x}| & \text { for }-1<\boldsymbol{x}<1 \\ |\boldsymbol{x}| & \text { for } \boldsymbol{x} \geq \mathbf{1}\end{array}\right. \)
then find \( \{\boldsymbol{x}: \boldsymbol{f}(\boldsymbol{x}) \geq \mathbf{0}\} \)
A \( \cdot(-1, \infty) \)
B. [-1,3]
c. (-1,3
D. \( I-1 \)
Subject: Chemistry
The rate constant of a zero order
reaction is 0.2 mol \( d m^{-3} h^{-1} . \) If the
concentration of the reactant after 30
minutes is 0.5 mol \( d m^{-3} . \) Then its initial concentration would be :-
A. \( 0.60 \mathrm{mol} \) d \( m^{-3} \)
B. 0.15 moldm \( ^{-3} \)
c. 0.25 mol \( d m^{-3} \)
D. 4.00 mol \( d m^{-3} \)
Subject: Physics
A solid sphere of radius \( \boldsymbol{R}, \) made up of a
material of bulk modulus \( \boldsymbol{K} \) is
surrounded by a liquid in a cylindrical
container. A massless piston of area \( \boldsymbol{A} \)
floats on the surface of the liquid. When
a mass \( M \) is placed on the piston to
compress the liquid, the fractional
change in the radius of the sphere is
\( \mathbf{A} \cdot \frac{M g}{2 A K} \)
в. \( \frac{M g}{3 A K} \)
c. \( \frac{M g}{A K} \)
D. \( \frac{2 M g}{3 A K} \)
Subject: Chemistry
\( \begin{array}{cccc}\boldsymbol{H} & \boldsymbol{H} & & \boldsymbol{H} & \boldsymbol{H} \\ \boldsymbol{C} & = & \boldsymbol{C} & +\boldsymbol{H}-\boldsymbol{H} \rightarrow \boldsymbol{H}- & \boldsymbol{C} & -\boldsymbol{C}-\boldsymbol{H} \\ \boldsymbol{H} & \boldsymbol{H} & & \boldsymbol{H} & \boldsymbol{H}\end{array} \)
From the following bond energies:
\( \boldsymbol{H}-\boldsymbol{H} \) bond energy: \( \mathbf{4 3 1 . 3 7 k J} \quad \boldsymbol{m o l}^{-1} \)
\( C=C \) bond energy:
606.10 \( k J \quad \) mol \( ^{-1} \)
\( \boldsymbol{C}-\boldsymbol{C} \) bond energy: \( \mathbf{3 3 6 . 4 9 k J} \quad \boldsymbol{m o l}^{-1} \)
\( C-H \) bond energy: \( 410.50 k J \quad m o l^{-1} \)
Enthalpy for the reaction will be:
\( \begin{array}{ll}\text { A } . & 553.0 k J\end{array} \quad \) mol \( ^{-1} \)
B. 1523.6kJ mol"
C . \( -243.6 k J \quad \) mol \( ^{-1} \)
D. \( -120.0 k J \quad \) mol \( ^{-1} \)
Subject: Chemistry
For the reaction, \( C_{2} H_{5} O H+H X \stackrel{Z n X_{2}}{\longrightarrow} \)
\( C_{2} H_{5} X, \) the order of reactivity is:
A. \( H I>H C l>H B r \)
в. \( H I>H B r>H C l \)
c. \( H C l>H B r>H I \)
D. \( H B r>H I>H C l \)
Subject: Maths
Prove that the product of the lengths of the perpendiculars drawn from the points \( (\sqrt{a^{2}-b^{2}}, 0) \) and
\( (-\sqrt{a^{2}-b^{2}}, 0) \) to the line \( \frac{x}{a} \cos \theta+ \)
\( \frac{y}{b} \sin \theta=1 \) is \( b^{2} \)
Subject: Physics
Five waveforms moving with equal
speeds on the x-axis
\( \boldsymbol{y}_{1}=\boldsymbol{8} \sin (\boldsymbol{\omega} \boldsymbol{t}+\boldsymbol{k} \boldsymbol{x}) ; \boldsymbol{y}_{2}= \)
\( 6 \sin \left(\omega t+\frac{\pi}{2}+k x\right) ; y_{3}= \)
\( \mathbf{4} \sin (\omega t+\pi+k x) \)
\( \boldsymbol{y}_{4}=2 \sin \left(\omega t+\frac{3 \pi}{2}+k x\right) \)
\( \boldsymbol{y}_{5}=4 \sqrt{2} \sin \left(\omega t-k x+\frac{\pi}{4}\right) \) are
superimposed on each other. The resulting wave is:
\( ^{\mathrm{A}} \cdot_{8 \sqrt{2} \cos k x \sin \left(\omega t+\frac{\pi}{4}\right)} \)
B. \( 8 \sqrt{2} \sin \left(\omega t-k x+\frac{\pi}{4}\right) \)
c. \( \quad 8 \sqrt{2} \sin k x \cos \left(\omega t+\frac{\pi}{4}\right) \)
\( \mathbf{D} \cdot 8 \sin (\omega t+k x) \)
Subject: Physics
An observer moves towards a stationary
plane mirror at a speed of \( 4 \mathrm{ms}^{-1} \). What
is the relative speed of the image with respect to the observer?
A \( \cdot 2 \mathrm{ms}^{-1} \)
B. \( 4 \mathrm{ms}^{-1} \)
\( c \cdot 8 m s^{-1} \)
D. the image will stay at rest
Subject: Chemistry
How many of the following compounds has \( X X \) bonds i.e. single covalent bond between two same elements in their
molecules:
\( \boldsymbol{H}_{2} \boldsymbol{S}_{2} \boldsymbol{O}_{4}, \boldsymbol{H}_{2} \boldsymbol{S}_{2} \boldsymbol{O}_{7}, \boldsymbol{H}_{2} \boldsymbol{S}_{2} \boldsymbol{O}_{8}, \boldsymbol{N}_{2} \boldsymbol{O}, \boldsymbol{N}_{2} \boldsymbol{O}_{3} \)
\( A \cdot 3 \)
B. 8
\( c \cdot 4 \)
D. 6
Subject: Maths
A vector \( \vec{r} \) is inclined at equal angles to
\( \boldsymbol{O} \boldsymbol{X}, \boldsymbol{O} \boldsymbol{Y} \) and \( \boldsymbol{O} \boldsymbol{Z} . \) If the magnitude of \( \boldsymbol{r} \)
is 6 units, then \( \vec{r} \) is equal to This question has multiple correct options
A \( \cdot \sqrt{3}(\hat{i}+\widehat{j}+\widehat{k}) \)
B. \( -\sqrt{3}(\hat{i}+\hat{j}+\widehat{k}) \)
c \( \cdot 2 \sqrt{3}(\hat{i}+\hat{j}+\widehat{k}) \)
D. \( -2 \sqrt{3}(\hat{i}+\hat{j}+\widehat{k}) \)
Subject: Physics
What would be the final temperature of
the mixture when 5 g of ice at \( -10^{\circ} \mathrm{C} \) are
mixed with \( 20 g \) of water at \( 30^{\circ} \mathrm{C} \)
Specific heat of ice is 0.5 and latent
heat of water \( 80 \mathrm{cal} g^{-1} \)
Subject: Physics
To a person going east in a car with a velocity of \( 25 k m p h, \) a train appears to move towards north with a velocity of \( 25 \sqrt{3} k m p h . \) The actual velocity
\( A .5 \mathrm{kmph} \)
B. 25 kmph
c. \( 50 \mathrm{kmph} \)
D. 53 kmph
Subject: Chemistry
The shape of water molecule which
should be tetrahedral has a bent or
distorted tetrahedral shape with a bond
angle \( 104.5^{\circ} . \) What could be the reason
for this?
A. \( l p \) - \( l p \) repulsion is more than \( l p \) - \( b p \) repulsion
c. \( l p \) -lp repulsion is equal to \( l \)p-\( - \)bp repulsion
D. Presence of lone pair does not affect the bond angle
Subject: Maths
\( f(x)=\left\{\begin{array}{cc}e^{\cos x} \cdot \sin x & \text { for }|x| \leq 2 \\ 2 & \text { otherwise }\end{array}\right. \)
then \( \int_{-2}^{3} f(x) d x \) is equal to
A .
B.
\( c \cdot 2 \)
\( D \)
Subject: Maths
f a function \( f \) is continuous at \( x=0 \)
where
\( \boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{l}\frac{\sin 3 x}{\mathbf{5} \boldsymbol{x}}+\boldsymbol{a} \text { for } \boldsymbol{x}<\mathbf{0} \\ \boldsymbol{x}+\mathbf{4}-\boldsymbol{b} \text { for } \boldsymbol{x} \geq \mathbf{0}\end{array}\right. \)
find the value of \( a+b \)
Subject: Physics
In figure, a ray of light \( P Q \) is incident
normally on the hypotenuse of an
isosceles right angle prism \( A B C . \) What
is the angle of deviation of the ray \( P Q ? \)
\( \mathbf{A} \cdot 90^{\circ} \)
B \( .45^{\circ} \)
\( c \cdot 180^{\circ} \)
\( D \cdot 30^{\circ} \)
Subject: Maths
\( A B C \) is an equilateral triangle of side a The value of \( \overrightarrow{A B} \cdot \overrightarrow{B C}+\overrightarrow{B C} \cdot \overrightarrow{C A}+ \)
\( \overrightarrow{C A} \cdot \overrightarrow{A B} \) is equal to
\( A \cdot \frac{3 a^{2}}{2} \)
B. \( 3 a^{2} \)
\( \mathrm{c} \cdot \frac{3 a^{2}}{2} \)
D. None of these
Subject: Maths
If two events \( A \) and \( B \) such that
\( \boldsymbol{P}\left(\boldsymbol{A}^{\prime}\right)=\mathbf{0 . 3}, \boldsymbol{P}(\boldsymbol{B})=\mathbf{0 . 5} \) and \( \boldsymbol{P}(\boldsymbol{A} \cap \)
\( B)=0.3, \) then \( P\left(B \mid A \cup B^{\prime}\right) \) is
A . \( 3 / 8 \)
B. 2 /
c. \( 5 / 6 \)
D. \( 1 / 4 \)
Subject: Physics
The magnetic field inside a \( 2 m H \)
inductor becomes 0.8 of its maximum
value in \( 20 \mu s \) when the inductor is
joined to battery. Find resistance of the circuit.
A . \( 160 \Omega \)
B. \( 80 \Omega \)
\( c .320 \Omega \)
D. \( 240 \Omega \)
E. none of these
Subject: Physics
A particle moves in such a manner that
\( \boldsymbol{x}=\boldsymbol{A t}, \boldsymbol{y}=\boldsymbol{B} \boldsymbol{t}^{3}-\boldsymbol{2 t}, \boldsymbol{z}=\boldsymbol{c} \boldsymbol{t}^{2}-\boldsymbol{4} \boldsymbol{t} \)
where \( x, y \) and \( z \) are measured in
metres and \( t \) is measured in seconds,
and \( A, B \) and \( C \) are unknown constants.
Given that the velocity of the particle at \( \boldsymbol{t}=2 \boldsymbol{s} \) is \( \overrightarrow{\boldsymbol{v}}=\left(\frac{\boldsymbol{d} \overrightarrow{\boldsymbol{r}}}{\boldsymbol{d} \boldsymbol{t}}\right)=\boldsymbol{3} \hat{\boldsymbol{i}}+2 \boldsymbol{2} \hat{\boldsymbol{j}} \boldsymbol{m} / \boldsymbol{s} \)
determine the velocity of the particle at
\( \boldsymbol{t}=\mathbf{4} \boldsymbol{s} \)
\( \mathbf{A} \cdot 8 \hat{i}+94 \hat{j}+4 \hat{k} m / s \)
B. \( 6 \hat{i}+94 \hat{j}+6 \hat{k} m / s \)
\( \mathbf{c} \cdot 3 \hat{i}+94 \hat{j}+4 \hat{k} m / s \)
D \( .3 \hat{i}+92 \hat{j}+4 \hat{k} m / s \)
Subject: Chemistry
If radius of \( 3^{r d} \) orbit of \( L i^{2+} \) ion is 'x' \( \mathrm{cm} \)
then de-broglie wavelength of electrons
in the \( 1^{s t} \) orbit is :
\( A \cdot \frac{2 \pi x}{3} \mathrm{cm} \)
в. \( 6 \pi x \) ст
c. \( 3 \pi x \) ст
D. \( \frac{2 \pi x}{6} \mathrm{cm} \)
Subject: Maths
A tent is in the form of a cylinder of diameter \( 8 \mathrm{m} \) and height \( 2 \mathrm{m}, \) and mounted by a cone of equal base and height 3 m. The canvas used for making the tent is equal to
\( \mathbf{A} \cdot 36 \pi m^{2} \)
В. \( 28 \pi m^{2} \)
\( \mathbf{c} \cdot 24 \pi m^{2} \)
D. \( 38 \pi m^{2} \)
Subject: Maths
If the roots of \( \left(a^{2}+b^{2}\right) x^{2}-2 b(a+ \)
\( c) x+\left(b^{2}+c^{2}\right)=0 \) are equal, then
\( a, b, c \) are in
A. A.P
в. G.P.
c. н.P.
D. none of these
Subject: Physics
In a mass spectrometer used for
measuring the masses of ions, the ions are initially accelerated by an electric potential \( V \) and then made to follow
semicircular paths of radius \( R \) using a
magnetic field \( B . \) If \( V \) and \( B \) are kept
constant, the ratio \( \left(\frac{\operatorname{charg} \text { on the ion }}{\text { mass of the ion }}\right) \) will be proportional to
A \( \cdot \frac{1}{R} \)
в. \( \frac{1}{R^{2}} \)
c. \( R^{2} \)
D. \( R \)
Subject: Chemistry
For the reaction \( N_{2}(g)+3 H_{2}(g) \rightleftharpoons \)
\( 2 N H_{3}(g) \) in a vessel, after the addition
of equal number of moles of \( N_{2} \) and \( H_{2} \)
equilibrium state is achieved. Which of the following is correct?
\( \mathbf{A} \cdot\left[H_{2}\right]=\left[N_{2}\right] \)
B \cdot \( \left[H_{2}\right]<\left[N_{2}\right] \)
\( \mathbf{c} \cdot\left[H_{2}\right]>\left[N_{2}\right] \)
D・ \( \left[H_{2}\right]>\left[N H_{3}\right] \)
Subject: Chemistry
Which of the followoing oxoanions contain \( S-S \) bond?

This question has multiple correct options
\( A \cdot S_{2} O_{3}^{2-} \)
B. \( S_{2} O_{4}^{2-} \)
\( \mathrm{c} \cdot S_{2} \mathrm{O}_{6}^{2-} \)
D. \( S_{2} O_{7}^{2} \)
Subject: Maths
The value of the determinant
\( \left|\begin{array}{ccc}\cos \alpha & -\sin \alpha & 1 \\ \sin \alpha & \cos \alpha & 1 \\ \cos (\alpha+\beta) & -\sin (\alpha+\beta) & 1\end{array}\right| \)
A. Independent of \( \alpha \)
B. Independent of \( \beta \)
c. Independent of \( \alpha \) and \( \beta \)
D. None of the above
Subject: Maths
The solution of \( \frac{d^{2} x}{d y^{2}}-x=k, \) where \( k \) is a non-zero constant, vanishes when
\( y=0 \) and tends of finite limit as \( y \)
tends to infinity, is
\( \mathbf{A} \cdot x=k\left(1+e^{-y}\right) \)
в. \( x=k\left(e^{y}+e^{-y}-2\right) \)
C \( . x=k\left(e^{-y}-1\right) \)
D. \( x=k\left(e^{y}-1\right) \)
Subject: Maths
Mean deviation of the series \( a, a+ \)
\( \boldsymbol{d}, \boldsymbol{a}+\mathbf{2} \boldsymbol{d}, \ldots, \boldsymbol{a}+\boldsymbol{2 n} \boldsymbol{d} \) from its mean is
A \( \cdot \frac{(n+1) d}{(2 n+1)} \)
в. \( \frac{n d}{2 n+1} \)
c. \( \frac{(2 n+1) d}{n(n+1)} \)
D. \( \frac{n(n+1) d}{2 n+1} \)
Subject: Chemistry
If the \( \% \) composition of a 'x' component is \( 35 \%, \) find the mass of the dried 'x'
component in 100 g? mixture \( + \) beaker \( = \) \( 50 \mathrm{g}, \) mass of beaker \( =23 \mathrm{g} \)
A. \( 15.5 \mathrm{g} \)
B. \( 9.45 \mathrm{g} \)
c. \( 35.5 \mathrm{g} \)
D. \( 13.4 \mathrm{g} \)
Subject: Maths
The inverse of the proposition \( (p \wedge \sim \)
\( \boldsymbol{q}) \Rightarrow \boldsymbol{r} \) is
A \( . \sim r \Rightarrow(\sim p \vee q) \)
В \( \cdot(\sim p \vee q) \Rightarrow \sim r \)
c. \( r \Rightarrow p(\wedge \sim q) \)
D. None of these
Subject: Physics
Though the statement quoted above may be disputed, most physicists do have a feeling that the great laws of physics are at once simple and beautiful. Some of the
notable physicists, besides Dirac, who have articulated this feeling, are:
Einstein, Bohr, Heisenberg, Chandrasekhar and Feynman. You are urged to make special efforts to
get access to the general books and writings by these and other great masters of physics. (See the Bibliography at the end of this book.) Their writings are truly inspiring!
Subject: Physics
1 kg ice at \( -20^{\circ} \mathrm{C} \) is mixed with 1 kg
steam at \( 200^{\circ} \mathrm{C} \). Then find equilibrium
temperature and mixture content.
A \( \cdot T=100^{\circ} \mathrm{C}, \frac{20}{27} \mathrm{kg} \) steam and \( \frac{34}{27} \mathrm{kg} \) water
B \( \cdot T=0^{\circ} C, \frac{20}{27} \) kg steam and \( \frac{34}{27} \) kg water
c. \( T=100^{\circ} \mathrm{C}, \frac{34}{27} \mathrm{kg} \) steam and \( \frac{20}{27} \) kg water
D. \( T=0^{\circ} C, \frac{10}{27} \) kg steam and \( \frac{38}{27} \) kg water
Subject: Chemistry
The reaction \( \frac{1}{2} \times H_{2}(g)+A g C l(a q) \rightarrow \)
\( H^{+}(a q)+A g(s) \)
can be represented in the galvanic cell
as:
\( \mathbf{A} \cdot \operatorname{Ag} / \mathrm{AgCl}(\mathrm{s})\left|\mathrm{KCl}(\mathrm{sol}) \| \mathrm{AgNO}_{3}(\mathrm{sol})\right| \mathrm{Ag} \)
B. PtH \( _{2} \) (g) I HCI(sol) II AgNO \( _{3} \) (sol) \( \mid \) Ag
C. \( P t, H_{2}(g) \mid \) HCI \( (\text { sol }) \| \) AgCI \( (s) \mid A g \)
D. \( \mathrm{H}_{2}(\mathrm{g}) \) | HCI(sol) \( \| \) AgCI(s) \( \mid \) Ag
Subject: Chemistry
Which of the following is not a protonic acid?
\( \mathbf{A} \cdot P O(O H)_{3} \)
\( \mathbf{B} \cdot B(O H)_{3} \)
\( \mathrm{c} \cdot S O(O H)_{2} \)
\( \mathrm{D} \cdot \mathrm{SO}_{2}(\mathrm{OH})_{2} \)
Subject: Chemistry
Assertion
A catalyst always lowers the energy of activation.
Reason
Catalyst interact with reactant molecules to form adsorbed activated
complex with evolution of energy
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Assertion and Reason both are incorrect
Subject: Maths
State True or False and write the correct
statement.
1. In the cartesian plane the horizontal line is called Y-axis.
2. In the cartesian plane the vertical line is called Y-axis.
3. The point which lies both the axes is called origin.
4. The point (2,-3) lies in the third quadrant.
5. (-5,-8) lies in the fourth quadrant.
6. The point \( (-x,-y) \) lies in the first quadrant where \( \boldsymbol{x}<\mathbf{0}, \boldsymbol{y}, \mathbf{0} \)
Subject: Maths
The distribution below gives the
weights of 30 students of a class. Find
the median weight of the students.
\( \begin{array}{ll}\text { Weight (in kg) } & \text { No. of students } \\ 40-45 & 2 \\ 45-50 & 3 \\ 50-55 & 8 \\ 55-60 & 6 \\ 60-65 & 6 \\ 65-70 & 3 \\ 70-75 & 2\end{array} \)
A . 56.67kg
B. 66.06kg
c. \( 56.00 \mathrm{kg} \)
D. 46.89kg
Subject: Physics
An alternating current in circuit is
\( \operatorname{given} \) by \( I=20 \sin (100 \pi t+0.005 \pi) A \)
The r.m.s value and the frequency of current respectively are:
A . \( 10 A \) and \( 100 H z \)
B. \( 10 A \) and \( 50 \mathrm{Hz} \)
c. \( 10 \sqrt{2} \) A and \( 50 \mathrm{Hz} \)
D. \( 10 \sqrt{2} \) A and \( 100 \mathrm{Hz} \)
Subject: Maths
Two persons \( A \) and \( B \) are throwing an unbiased six faced die alternatively, with the condition
that the person who throws 3 first wins
the game. If A starts the game, the
probabilities of \( A \) and \( B \) to win the same are
respectively
A \( \cdot \frac{6}{11}, \frac{5}{11} \)
B . \( \frac{5}{11}, \frac{6}{11} \)
c. \( \frac{8}{11}, \frac{3}{11} \)
D. \( \frac{3}{11}, \frac{8}{11} \)
Subject: Chemistry
\( \boldsymbol{S} \boldsymbol{O}_{2} \) behaves as a reducing agent
when :
A. Passed over hot \( C u O \)
B. Mixed with moist \( H_{2} S \)
c. Passes through acidified \( K M n O_{4} \) solution
D. Passed through \( F e S O_{4} \) solution.
Subject: Chemistry
Draw the structures of the following
compounds.
(i) 3-Methylbutanal
(ii)
Nitropropiophenone
(iii) p-Methylbenzaldehyde 4-Methylpent-3-en-2-one
(v) 4 -Chloropentan-2-one
\( (\mathbf{v} \mathbf{i}) \)
Bromo-4-phenylpentanoic acid
(vii) p,p-Dihydroxybenzophenone Hex-2-en-4-ynoic acid
Subject: Maths
If \( \boldsymbol{f}(\boldsymbol{x})=|\boldsymbol{x}+\mathbf{1}|(|\boldsymbol{x}|+|\boldsymbol{x}-\mathbf{1}|) \) then at
what points the function is/are not differentiable at in the interval [-2,2] This question has multiple correct options
A . -1
B.
c. 1
D. \( 1 / 2 \)
Subject: Physics
The adiabatic Bulk modulus of a
diatomic gas at atmospheric pressure is
A. \( 0 \mathrm{Nm}^{-2} \)
B. \( 1 \mathrm{Nm}^{-2} \)
c. \( 1.4 \times 10^{4} N m^{-2} \)
D. \( 1.4 \times 10^{5} \mathrm{Nm}^{-2} \)
Subject: Physics
Vibrations of period 0.25 s propagate along a straight line at a velocity of 48 \( \mathrm{cm} / \mathrm{s} . \) One second after the emergence of vibrations at the initial point, displacement of the point, \( 47 \mathrm{cm} \) from it is found to be \( 3 \mathrm{cm} \). Then,
A. amplitude of vibrations is 6 cm
B. amplitude of vibrations is \( 3 \sqrt{2} c m \).
c. amplitude of vibrations is 3 \( \mathrm{cm} \)
D. None of the above
Subject: Physics
An object \( A \) is kept fixed at the point \( x=3 m \) and \( y=1.25 m \) on a plank \( P \)
raised above the ground. At time \( t= \) the plank starts moving along the positive \( x \) -direction with an acceleration
\( 1.5 m / s^{2} . \) At the same instant a stone is projected from the origin with a velocity
\( \vec{u} \) as shown in the figure. A stationary person on the ground observes the
stone hitting the object during which it makes a downwards motion at the
angle of \( 45^{\circ} \) to the horizontal. All the
motions are in \( x \) -y plane. Find \( \vec{u} \) and the time after which the stone hits the
object (Take \( \boldsymbol{g}=\mathbf{1 0 m} / \boldsymbol{s}^{2} \mathbf{)} \)
Subject: Physics
A vernier calipers have \( 1 \mathrm{mm} \) marks on the main scale. It has 20 equal divisions on the vernier scale
which matches with 16 main scale
divisions. For this vernier calipers, the
least count is :
\( A \cdot 0.02 \mathrm{mm} \)
B. 0.05 mm
\( c .0 .1 \mathrm{mm} \)
D. 0.2 mm
Subject: Chemistry
What is the time (in sec) requried for depositing all the silver present in
\( 125 m L \) of \( 1 M A g N O_{3} \) solution by
passing a current of \( 241.24 A ? \) \( (1 F=96500 \text { coulombs }) \)
A . 10
B. 50
c. 100
D. 90
Subject: Maths
Construct a triangle \( A B C, \) given: \( B C=7 \)
\( \mathrm{cm}, \mathrm{AB}-\mathrm{AC}=1 \mathrm{cm} \) and \( \angle A B C=45^{\circ} \)
Measure the lengths of \( A B \) and \( A C \).
\( A \cdot A B=8.6 \mathrm{cm}: A C=7.6 \mathrm{cm} \)
B. AB = 2.7 cm: AC = 1.7 cm
\( \mathrm{C} \cdot \mathrm{AB}=6.1 \mathrm{cm}: \mathrm{AC}=5.1 \mathrm{cm} \)
D. Data insufficient
Subject: Maths
Find the median of the following data.
\[
\begin{array}{lllll}
\text { Maths } & \mathbf{6 0}- & \mathbf{6 5}- & \mathbf{7 0 -} & \mathbf{7} \\
\text { marks } & \mathbf{6 5} & \mathbf{7 0} & \mathbf{7 5} & \mathbf{8} \\
\begin{array}{l}
\text { No. of } \\
\text { students }
\end{array} & 8 & 12 & 14 & 8
\end{array}
\]
A. 73.05
B. 72.54
c. 63.54
D. 91.09
Subject: Maths
A line OP where \( 0=(0,0,0) \) makes
equal angles with ox, oy, oz. The point on OP, which is at a distance of 6 units
from 0 is:
A. \( \left(\frac{6}{\sqrt{3}}, \frac{6}{\sqrt{3}}, \frac{6}{\sqrt{3}}\right) \)
B . \( (2 \sqrt{3},-2 \sqrt{3}, 2 \sqrt{3}) \)
\( c \cdot-(2 \sqrt{3}, 2 \sqrt{3}, 2 \sqrt{3}) \)