AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
\( C_{6} H_{6} C I_{6} C_{6} H_{6} C I_{6} \) on treatment with alcoholic KOHKOH yields.
\( \mathbf{A}: \boldsymbol{C}_{\mathbf{6}} \boldsymbol{H}_{\mathbf{6}} \boldsymbol{C}_{\mathbf{6}} \boldsymbol{H}_{\mathbf{6}} \)
\( \mathbf{B}: \boldsymbol{C}_{\mathbf{6}} \boldsymbol{H}_{\mathbf{3}} \boldsymbol{C} \boldsymbol{I}_{\mathbf{3}} \boldsymbol{C}_{\mathbf{6}} \boldsymbol{H}_{\mathbf{3}} \boldsymbol{C} \boldsymbol{I}_{\mathbf{3}} \)
\( \mathrm{c}:\left(C_{6} H_{6}\right) O H\left(C_{6} H_{6}\right) O H \)
\( \mathbf{D}: \boldsymbol{C}_{\mathbf{6}} \boldsymbol{H}_{\mathbf{6}} \boldsymbol{C} \boldsymbol{I}_{\mathbf{4}} \)
Subject: Physics
The moments of inertia of a non-
uniform circular disc (of mass \( \mathrm{M} \) and
radius \( R \) ) about four mutually perpendicular tangents \( A B, B C C D, D A \)
\( \operatorname{are} I_{1}, I_{2}, I_{3} \) and \( I_{4} \) respectively (the
square ABCD circumscribes the circle.)
The distance of the center of mass of
the disc from its geometrical center is
given by
A \( \cdot \frac{1}{4 M R} \sqrt{\left(I_{3}-I_{3}\right)^{2}+\left(I_{2}-I_{4}\right)^{2}} \)
B \( \cdot \frac{1}{12 M R} \sqrt{\left(I_{3}-I_{3}\right)^{2}+\left(I_{2}-I_{4}\right)^{2}} \)
C \( \cdot \frac{1}{3 M R} \sqrt{\left(I_{1}-I_{2}\right)^{2}+\left(I_{3}-I_{4}\right)^{2}} \)
D. \( \frac{1}{2 M R} \sqrt{\left(I_{1}-I_{2}\right)^{2}+\left(I_{3}-I_{4}\right)^{2}} \)
Subject: Physics
Match the following and choose the
correct answer.
\begin{tabular}{lll|l} 
& table A & & table B \\
a. & Earthquake & 1. & Prevent leakage \\
b. & Lightning & 2. & Faultzone \\
c. & Insulation & 3. & Detection of charges \\
d. & Electroscope & 4. & Earthing
\end{tabular}
A. \( a-2, b-4, c-1, d-3 \)
B. \( a-3, b-4, c-2, d-1 \)
c. \( a-4, b-3, c-2, d-1 \)
D. \( a-1, b-2, c-3, d-4 \)
Subject: Chemistry
A mixture of two miscible liquids \( A \) and B is distilled under equilibrium
conditions at 1 atm pressure. The mole fraction of \( A \) in solution and vapour
phase are 0.30 and 0.60 respectively. Assuming ideal behaviour of the
solution and the vapour. Calculate the
ratio of the vapour pressure of pure \( A \) to that of pure \( B \)
Subject: Chemistry
When \( C l_{2} \) water is added to an aqueous solution of potassium halide in the presence of chloroform, a violet color is
obtained. On adding more of \( C l_{2} \) water, the violet color disappears and a colorless solution is obtained. This test
confirms the presence of the following in aqueous solution:
A . iodide
B. bromide.
c. chloride.
D. iodide and bromide
Subject: Physics
Figure shows a square loop of side \( 5 \mathrm{cm} \)
being moved towards right at a
constant speed of \( 1 \mathrm{cm} / \mathrm{sec} \). The front
edge just enters the \( 20 \mathrm{cm} \) wide
magnetic field at \( t=0 . \) Find the
induced emf in the loop at \( t=2 s \) and
\( t=10 s \)
Subject: Physics
Results of calculations for four different
designs of a fusion reactor using D-D reaction are given below. Which of these is most promising based on Lawson criterion?
A. Deuteron density =2.0 \( \times 10^{12} \mathrm{cm}^{-3} \), confinement \( \operatorname{tim} e=5.0 \times 10^{-3} \mathrm{s} \)
B. Deuteron density=8.0 \( \times 10^{14} \mathrm{cm}^{-3} \), confinement \( \operatorname{time}=9.0 \times 10^{-1} \mathrm{s} \)
c. Deuteron density \( =4.0 \times 10^{23} \mathrm{cm}^{-3} \), confinement \( \operatorname{time}=1.0 \times 10^{-11} \mathrm{s} \)
D. Deuteron density=1.0 \( \times 10^{24} \mathrm{cm}^{-3} \), confinement \( \operatorname{time}=4.0 \times 10^{-12} \mathrm{s} \)
Subject: Physics
The three physical quantities \( x, y \) and \( z \)
have units \( g \quad c m^{2} s^{-5}, g s^{-1} \) and \( c m s^{-2} \) respectively.
The relation between \( x, y \) and \( z \) is
A \( \cdot x=y z^{2} \)
B . \( x=y^{2} x \)
c. \( y^{2}=x z \)
D. \( z=x^{2} y \)
Subject: Physics
Two objects have the same mass and are located near each other at a
distance (r). If the mass of one of the
objects is doubled and the mass of the other object is tripled, Find out the
change in gravitational attraction between them?
A. Decrease by \( 1 / 6 \)
B. Decrease by \( 2 / 3 \)
c. Increase by \( 3 / 2 \)
D. Increase by 5
E. Increase by 6
Subject: Chemistry
For the system \( \boldsymbol{A}_{(g)}+\mathbf{2} \boldsymbol{B}_{(\boldsymbol{g})} \rightleftharpoons \boldsymbol{C}_{(g)}, \) the
equilibrium concentrations are \( \boldsymbol{A}=\mathbf{0 . 0 6} \boldsymbol{m o l} \boldsymbol{L}^{-1} \)
\( \boldsymbol{B}=\mathbf{0 . 1 2} \boldsymbol{m o l} \boldsymbol{L}^{-1} \)
\( \boldsymbol{C}=\mathbf{0 . 2 1 6} \boldsymbol{m o l} \boldsymbol{L}^{-1} \)
Then \( K_{c} \) for the reaction is
A . 250
в. 416
\( c .450 \)
D. 525
Subject: Physics
Wires \( A \) and \( B \) have resistivities \( \rho_{A} \) and
\( \boldsymbol{\rho}_{B},\left(\rho_{B}=2 \rho_{A}\right) \) and have lengths \( l_{A} \) and
\( l_{B} . \) If the diameter of the wire \( B \) is twice
that of \( A \) and the two wires have same
resistance, then \( \frac{l_{B}}{l_{A}} \) is:
\( A \cdot 2 \)
B.
c. \( 1 / 2 \)
D. \( 1 / 4 \)
Subject: Chemistry
The conductivity of 0.001028 mol \( L^{-1} \)
acetic acid is \( 4.95 \times 10^{-5} \mathrm{Scm}^{-1} \)
Calculate its dissociation constant if
\( \boldsymbol{\Lambda}_{\mathbf{m}}^{\mathbf{o}} \) for \( \mathbf{3} \mathbf{9 0 . 5} \mathbf{S} \mathbf{c m}^{2} \mathbf{m o l}^{-\mathbf{1}} \)
Subject: Physics
A body is fired vertically upward. At half the maximum height, the velocity of the body is \( 10 \mathrm{m} / \mathrm{s} \). The maximum height raised by the body is
\( \mathbf{A} \cdot 0 m \)
в. 10 т
\( \mathrm{c} .15 \mathrm{m} \)
D. 20 \( m \)
Subject: Physics
A student focussed the image of a
candle flame on a white screen using a convex lens. He noted down the position of the candle screen and the lens as
under:
Position of candle \( =12.0 \mathrm{cm} \)
Position of convex lens \( =\mathbf{5 0 . 0} \mathrm{cm} \)
Position of the screen \( =88.0 \mathrm{cm} \)
What will be the nature of the image formed if he further shifts the candle
towards the lens?
A. Virtual and erect
B. Real and inverted
C. Real and diminishedd
D. None of the above
Subject: Maths
The converse of \( \boldsymbol{p} \rightarrow(\boldsymbol{q} \rightarrow \boldsymbol{r}) \) is
\( \mathbf{A} \cdot(q \wedge \sim r) \vee p \)
в. \( (\sim q \vee r) \vee p \)
\( c \cdot(q \wedge \sim r) \wedge \sim p \)
\( p \)
D. \( (q \wedge \sim r) \wedge p \)
Subject: Physics
A positively charged particle having some mass is resting in equilibrium at a height H above the center of a fixed, uniformly and positively charged ring of radius R. The force of gravity (mg) acts downwards. The equilibrium of the particle at the given position (H) for small vertical displacement will be:
(Assume \( g \) is uniform)
\( ^{\mathbf{A}} \cdot \) stable if \( H<\frac{R}{2} \)
B. stable if \( H=\frac{R}{\sqrt{2}} \)
c. unstable if \( H<\frac{R}{\sqrt{2}} \)
D. stable if \( H=\frac{R}{2} \)
Subject: Maths
Solve the equation \( : \cot x-2 \sin 2 x=1 \)
A \( \cdot x=\frac{\pi}{8}+\frac{K \pi}{2} \)
в. \( x=\frac{\pi}{4}+\frac{K \pi}{4} \)
c. \( _{x}=\frac{\pi}{6}+\frac{K \pi}{3} \)
D. \( x=\frac{2 \pi}{3}+\frac{K \pi}{3} \)
Subject: Physics
A prism having an apex angle of \( 4^{\circ} \) and
refractive index of 1.50 is located in
front of a vertical plane mirror as shown
in the figure. A horizontal ray of light is incident on the prism. The total angle
through which the ray is deviated is?
\( \mathbf{A} \cdot 4^{\circ} \) clockwise
B. \( 178^{\circ} \) clockwise
c. \( 2^{\circ} \) clockwise
D. \( 8^{\circ} \) clockwise
Subject: Maths
Which of the following is not true, if \( \mathbf{A} \)
and \( B \) are two matrices each of order
\( \boldsymbol{n} \times \boldsymbol{n}, \) then
\( \mathbf{A} \cdot(A+B)^{T}=B^{T}+A^{T} \)
\( \mathbf{B} \cdot(A-B)^{T}=A^{T}-B^{T} \)
\( \mathbf{C} \cdot(A B)^{T}=A^{T} B^{T} \)
\( \mathbf{D} \cdot(A B C)^{T}=C^{T} B^{T} A^{T} \)
Subject: Physics
Which of the following processes will quadruple the pressure
a) Reduce V to half and double T
b) Reduce V to 1/8th and reduce T to half
c) Double \( \mathrm{V} \) and half \( \mathrm{T} \)
d) Increase both \( \mathrm{V} \) and \( \mathrm{T} \) to double the
values
\( A \cdot b, c \)
в. а,
c. \( c, d \)
D. a,d.
Subject: Maths
The equation of the plane through the line of intersection of the planes \( a x+ \)
\( b y+c z+d=0 \) and \( a^{\prime} x+b^{\prime} y+c^{\prime} z+ \)
\( \boldsymbol{d}^{\prime}=\mathbf{0} \) and parallel to the line \( \boldsymbol{y}=\mathbf{0} \) and
\( z=0 \) is-
A \( \cdot\left(a b^{\prime}-a^{\prime} b\right) x+\left(b c^{\prime}-b^{\prime} c\right) y+\left(a d^{\prime}-a^{\prime} d\right)=0 \)
B \cdot \( \left(a b^{\prime}-a^{\prime} b\right) x+\left(b c^{\prime}-b^{\prime} c\right) y+\left(a d^{\prime}-a^{\prime} d\right) z=0 \)
C \( \cdot\left(a b^{\prime}-a^{\prime} b\right) y+\left(a c^{\prime}-a c^{\prime}\right) z=\left(a d^{\prime}-a^{\prime} d\right) \)
D. None of these.
Subject: Physics
Eight point charges (can be assumed
as small spheres uniformly charged
and their centres at the corner of the
cube) having values q each are fixed at
vertices of a cube .The electric flux
through square surface ABCD of the
cube is
A \( \cdot \frac{q}{24 \epsilon_{n}} \)
B. \( \frac{q}{12 \epsilon_{0}} \)
c. \( \frac{q}{6 \epsilon_{0}} \)
D. \( \frac{q}{8 \epsilon_{0}} \)
Subject: Maths
In a World Cup final match against Srilanka, for six times Sachin Tendulkar
hits a six out of 30 balls he plays. What is the probability that in a given throw the ball does not hit a six?
A \( \cdot \frac{1}{4} \)
B.
\( c \cdot \frac{4}{5} \)
D. \( \frac{3}{4} \)
Subject: Physics
The frequency of a sound wave is 200 \( \mathrm{Hz} \) and its wavelength is \( 150 \mathrm{cm} . \) What is the distance travelled by a sound wave in the time of produce 150 waves?
A . \( 110.5 \mathrm{m} \)
B. 112.5 \( m \)
c. \( 115 \mathrm{m} \)
D. 120 \( m \)
Subject: Physics
A man can swim in still water at a
speed of \( 3 \mathrm{km} / \mathrm{h} \). he want to cross a river
that flows at \( 2 \mathrm{km} / \mathrm{h} \) and reach the point directly opposite to his starting point.
(a) In which direction should he try to
swim (that is, find the angle his bodys makes with the river flows??
(b) How
much time will he take to cross the river
if the is \( 500 \mathrm{m} \) wide?
Subject: Biology
Assertion
Air bladder is absent in fishes.
Reason
Fishes generally respire through gills.
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 Reason is correct.
Subject: Chemistry
An open end manometer consists of
0.75 moles of \( X_{g} \) taken in a container of
volume 24.63 lit at \( 300 K . \) The level of
mercury in the open tube is found to be \( 14 \mathrm{cm} \) lower. The height difference when manometer is heated to \( 450 K \) will be:
A . \( 14.5 \mathrm{cm} \)
B. \( 21 \mathrm{cm} \)
\( \mathbf{c} \cdot 13 c m \)
D. \( 17 \mathrm{cm} \)
Subject: Maths
\( \operatorname{Given} \boldsymbol{A}=\left[\begin{array}{lll}\mathbf{1} & \mathbf{1} & \mathbf{1} \\ \mathbf{2} & \mathbf{4} & \mathbf{1} \\ \mathbf{2} & \mathbf{3} & \mathbf{1}\end{array}\right], \boldsymbol{B}=\left[\begin{array}{ll}\mathbf{2} & \mathbf{3} \\ \mathbf{3} & \mathbf{4}\end{array}\right] \)
Find \( P \) such that \( B P A=\left[\begin{array}{lll}1 & 0 & 1 \\ 0 & 1 & 0\end{array}\right] \)
Subject: Physics
Assertion
Three equal charges are situated on a circle of radius r such that they form on equilateral triangle, then the electric field intensity at the centre is zero
Reason
The force on unit positive charge at the centre, due to the three equal charges are represented by the three sides of a triangle taken in the same order Therefore, electric field intensity at centre is zero
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 capacitor consists of two metal plates each \( 10 \mathrm{cm} \) by \( 20 \mathrm{cm} ; \) they are separated by a 2.0 mm thick insulator
with dielectric constant 4.1 and
dielectric strength \( 6.0107 \mathrm{V} / \mathrm{m} . \) What is
the capacitance in \( \boldsymbol{p} \boldsymbol{F}\left(\mathbf{1 0}^{-12} \boldsymbol{F}\right) ? \)
A . 75
B. 100
\( c \cdot 240 \)
D. 360
Subject: Maths
If \( \sin \alpha+\sin \beta+\sin \gamma=0=\cos \alpha+ \)
\( \cos \beta+\cos \gamma \) then \( \sin ^{2} \alpha+\sin ^{2} \beta+ \)
\( \sin ^{2} \gamma= \)
A. \( -\frac{3}{2} \)
B. \( \frac{3}{2} \)
\( c \cdot \frac{2}{3} \)
D. none of these
Subject: Maths
Read the following information and answer the three items that follow:
Let \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{2}+\boldsymbol{2} \boldsymbol{x}-\boldsymbol{5} \) and \( \boldsymbol{g}(\boldsymbol{x})= \)
\( 5 x+30 \)
What are the roots of the equation
\( \boldsymbol{g}[\boldsymbol{f}(\boldsymbol{x})]=\mathbf{0} ? \)
A . 1,-1
B. -1,-1
\( c .1,1 \)
D. 0,1
Subject: Physics
Assertion: P-V graph (at constant
temperature) for ideal gas is rectangular
parabola
Reason: Ideal gas obeys Charle's law
A. Both assertion (A) and reason (R) are correct and R gives the correct explanation
B. Both assertion (A) and reason (R) are correct but R doesnt give the correct explanation
C. A is true but R is false
D. A is false but R is true
Subject: Chemistry
When copper is placed in the atmosphere for sufficient time a green crust is formed ion its surface the
composition of green crust is
\( \mathbf{A} \cdot C u(O H)_{2} \)
в. \( C u O \)
c. \( C u C O_{3} \)
D. \( C u C O_{3} . C u(O H)_{2} \)
Subject: Biology
Match the sites in list I with the
processes in list II and choose the
correct combination from the options.
\( A \cdot A-4, B-3, C-2, D-1 \)
B. \( A-1, B-2, C-4, D-3 \)
c. \( A-2, B-3, C-4, D-1 \)
D. \( A-3, B-4, C-1, D-2 \)
Subject: Maths
\( \int \frac{e^{x}}{e^{2 x}+5 e^{x}+6} d x= \)
A \( \cdot \log \left|\frac{e^{x}+2}{e^{x}+3}\right|+c \)
в. \( \log \left|\frac{e^{x}+3}{e^{x}+2}\right|+c \)
c. \( \log \left|\frac{e^{x}-2}{e^{x}-3}\right|+c \)
D. \( \log \left|\frac{e^{x}-3}{e^{x}-2}\right|+c \)
Subject: Physics
A non-conducting ring having charge \( q \) uniformly distributed over its circumference is placed on a rough
horizontal surface. A vertical time
varying magnetic field \( B=4 t^{2} \) is
switched on at time \( t=0 . \) Mass of the
ring is 'm' and radius is R. The ring starts rotating after 2 s. The coefficient of friction between the ring and the table is:
A \( \cdot \frac{4 q m R}{g} \)
в. \( \frac{2 q m R}{g} \)
c. \( \frac{8 q R}{m g} \)
D. \( \frac{q R}{2 m g} \)
Subject: Physics
A cube has a side of length \( 2.342 m \). The surface area and volume in correct
significant figures are respectively:
A . \( 32.90 m^{2}, 12.85 m^{3} \)
B . \( 5.49 m^{2}, 12.85 m^{3} \)
c. \( 5.485 \mathrm{m}^{2}, 12.9 \mathrm{m}^{3} \)
D. \( 5.49 m^{2}, 12.9 m^{3} \)
Subject: Physics
Three vectors \( \vec{A}, \vec{B}, \vec{C} \) satisfy the relation \( \vec{A} \cdot \vec{B}=0 \) and \( \vec{A} \cdot \vec{C}=0 . \) The
vector \( \vec{A} \) is parallel to
A \( \cdot \vec{B} \)
в. \( \vec{c} \)
c. \( \vec{B} \cdot \vec{C} \)
D . \( \vec{B} \times \vec{C} \)
Subject: Maths
\( (\sqrt{3}+\sqrt{2})^{4}-(\sqrt{3}-\sqrt{2})^{4}= \)
A \( .20 \sqrt{6} \)
в. \( 30 \sqrt{6} \)
c. \( 5 \sqrt{10} \)
D. \( 40 \sqrt{6} \)
E \( .10 \sqrt{6} \)
Subject: Physics
Assertion
To protect any instrument from external magnetic field, it is put inside an iron body.
Reason
Iron is a magnetic 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. Assertion is incorrect but Reason is correct
Subject: Physics
A solid sphere is rolling purely on a rough horizontal surface with speed of
center \( u=12 \mathrm{m} / \mathrm{s} . \) It collides
inelastically with a smooth vertical wall at a certain moment, the coefficient of restitution being \( \frac{1}{2} . \) How long (in sec) after the collision, the sphere will begin
pure rolling? [coefficient of friction between the
sphere and the ground is \( \frac{3}{35} \)
A . 16
B . 12
\( c .6 \)
D. 13
Subject: Maths
If \( \boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{c}\boldsymbol{a}^{2} \cos ^{2} \boldsymbol{x}+\boldsymbol{b}^{2} \sin ^{2} \boldsymbol{x}, \boldsymbol{x} \leq \mathbf{0} \\ \boldsymbol{e}^{\boldsymbol{a} \boldsymbol{x}+\boldsymbol{b}}, \boldsymbol{x}>\mathbf{0}\end{array}\right. \)
\( f(x) \) is continuous at \( x=0 \) then
\( \mathbf{A} \cdot 2 \log |a|=b \)
B. \( 2 \log |b|=e \)
c. \( \log a=2 \log \mid b \)
\( \mathbf{D} \cdot a=b \)
Subject: Physics
Assertion
In Rutherford's gold foil experiment, very
few \( \alpha \) -particles are deflected back.
Reason

Nucleus present inside the atom is heavy.
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 physical quantity P is related to four observables \( a, b, c \) and \( d \) as follows:
\( \mathrm{P} \boldsymbol{a}^{3} \boldsymbol{b}^{2} / \sqrt{\boldsymbol{c}} \mathrm{d} \)
The percentage errors of measurement in \( a, b, c \) and \( d \) are \( 1 \%, 3 \%, 4 \% \) and \( 2 \%, \) respectively. What is the percentage error in the quantity P ? If the value of P calculated using the above relation turns out to be \( 3.763, \) to what value
should you round off the result?
Subject: Physics
An object travel \( 10 \mathrm{km} \) at a speed of
\( 100 m / s \) and another \( 10 \mathrm{km} \) at \( 50 \mathrm{m} / \mathrm{s} \)
The average speed over the whole distance is
A . \( 75 \mathrm{m} / \mathrm{s} \)
в. \( 55 \mathrm{m} / \mathrm{s} \)
c. \( 66.7 \mathrm{m} / \mathrm{s} \)
D. \( 33.3 \mathrm{m} / \mathrm{s} \)
Subject: Chemistry
Which of the following are
concentration cells?
This question has multiple correct options
\( \mathbf{A} \cdot P t\left|H_{2}(g)\right| H C l\left|H_{2}(g)\right| P t \)
B. \( P t: P t: / \begin{array}{l}H C l / / H C l / H_{2}: P t \\ \left(P^{H}=4\right)^{\prime} /\left(P^{H}=2\right)\end{array} \)
\( \mathbf{c} . A g / A g C l / / A g B r / A g \)
\( (1 M) \quad 1 M \)
\( \mathbf{D} \cdot A g|A g C l| C_{c_{1}}^{-}(a q)|| B_{c_{2}}^{-}(a q)|A g B r| A g \)
Subject: Chemistry
The solubility of \( P b F_{2} \) in water at \( 25^{\circ} C \)
is \( \sim 10^{-3} M . \) What is its solubility in
\( \mathbf{0 . 0 5} \boldsymbol{M} \boldsymbol{N} \boldsymbol{a} \boldsymbol{F} \) solution?
Assume the latter to be fully ionised.
A . \( 1.6 \times 10^{-6} M \)
В. \( 1.2 \times 10^{-6} M \)
c. \( 1.2 \times 10^{-5} M \)
D. \( 1.6 \times 10^{-4} M \)
Subject: Chemistry
Calculate the energy required to excite one litre of hydrogen gas at 1 atm pressure and \( 298 \mathrm{K} \) to the first excited
state of atomic hydrogen. The energy for the dissociation of H-H is 436 kJ \( m o l^{-1} \)
A. \( 0.585 K J \)
В. \( 5 \times 10^{23} e V \)
c. \( 80.36 K J \)
D. none of these
Subject: Physics
A solid conducting sphere having a
charge \( Q \) is surrounded by an
uncharged concentric conducting
hollow spherical shell. Let the potential difference between the surface of the
solid sphere and that of the outer surface of the hollow shell be \( V \). If the
shell is not given a charge of \( -3 Q \), the
new potential difference between the
same two surfaces is:
\( \mathbf{A} \cdot V \)
B. \( 2 V \)
c. \( 4 V \)
\( \mathbf{D} \cdot-2 V \)
Subject: Physics
A proton is projected with velocity \( \vec{V}= \) \( 2 \hat{i} \) in a region where magnetic field \( \vec{B}=(\hat{i}+3 \hat{j}+4 \hat{k}) \mu T \) and electric field
\( \vec{E}=10 \hat{i} \mu \mathrm{V} / \mathrm{m} . \) Then find out the net
acceleration of proton.
\( \mathbf{A} \cdot 1400 m / s^{2} \)
B. \( 700 \mathrm{m} / \mathrm{s}^{2} \)
C \( .1000 \mathrm{m} / \mathrm{s}^{2} \)
D. \( 800 \mathrm{m} / \mathrm{s}^{2} \)
Subject: Chemistry
Riya performs two set of experiments to
study the length of the foam formed which follows
Set \( I: \) She takes 10 ml of distilled water
in test tube " \( A^{\prime \prime} \) and adds \( 5-6 \) drops of
liquid soap in it and shakes the test tube vigorously. Set \( I I: \) She takes 10 ml of distilled
water in a test tube \( ^{\prime \prime} A^{\prime \prime} \) and adds \( 5-6 \)
drops of liquid soap with half spoonful
of \( C a S O 4 \) in it and shakes the tube.
Write your observation and reason
Subject: Physics
The magnitude of focal length of a concave mirror is \( f . \) An object is placed at a distance \( x \) from the focus and
forms a real image. The magnification is:
A \( \cdot-\frac{f}{x} \)
в. \( -\frac{x}{f} \)
\( c \cdot-\frac{f}{f-x} \)
D. \( \frac{x}{x-f} \)
Subject: Chemistry
\( 56 \mathrm{g} \) of nitrogen and \( 8 \mathrm{g} \) of hydrogen gas are heated in a closed vessel. At
equilibrium, 34 g of ammonia are present. The equilibrium number of moles of nitrogen, hydrogen and ammonia are respectively:
A. 1,2,2
B. 2, 2, 1
C. 1,1,2
D. 2, 1, 2
Subject: Physics
Find the frequency of photon.
A \( \cdot 2.71 \times 10^{14} \mathrm{Hz} \)
в. 2.01 \( \times 10^{14} \mathrm{Hz} \)
c. \( 2.5 \times 10^{14} H z \)
D. 20.1 \( \times 10^{14} \mathrm{Hz} \)
Subject: Chemistry
Which type of reaction in the reduction
of carbonyl compound with \( L A H \) and
\( N a B H_{4} \) occurs, and which nucleophile takes part in the reaction?
A . Nucleophilic addition and \( A l H_{4}^{\ominus} \) or \( B H_{4}^{\text {d }} \)
B. Nucleophilic addition and \( H^{\ominus} \)
C. Nucleophilic substitution and \( A l H_{4}^{\ominus} \) or \( B H_{4}^{\text {d }} \)
D. Nucleophilic substitution and \( H^{\ominus} \)
Subject: Chemistry
The inter nuclear distance in \( H_{2} \) and
\( C l_{2} \) molecules are 74 and 198 pm.
respectively. The bond length of \( H C l \)
may be:
\( \mathbf{A} \cdot 136 p m \)
в. \( 272 \mathrm{pm} \)
c. \( 135.919 \mathrm{pm} \)
D. \( 271.919 \mathrm{pm} \)
Subject: Physics
An ideal spring is hung vertically from the ceiling. When a \( 2.0 k g \) mass hangs at rest from the spring is extended \( 6.0 \mathrm{cm} \) from its relaxed length.
downward external force is now applied
to the mass to extend the spring an additional 10cm. While the spring is being extended by the force, the work done by the spring is:
A. \( -3.3 J \)
\( J \)
в. 3.3 .5
c. \( -1.67 J \)
D. 3.6 \( J \)
Subject: Physics
The angle of crown glass \( (\mu=1.52) \)
prism is \( 5^{\circ} . \) What should be the angle of flint glass \( (\mu=1.63) \) prism so that the
two prisms together may be used in a direct vision spectroscope?
A . \( -2.14^{\circ} \)
B. \( +2.14^{\circ} \)
c. \( -4.12^{\circ} \)
D. \( +4.12^{\circ} \)
Subject: Physics
A ray of light is incident on a thin film.
As shown in the figure, \( M \) and \( N \) are
two reflected rays while \( P \) and \( Q \) are two
transmitted rays. Rays \( N \) and \( Q \)
undergo a phase change of \( \pi \). correct
ordering of the refracting indices is
A \( \cdot n_{2}>n_{3}>n_{1} \)
в. \( n_{3}>n_{2}>n_{1} \)
\( \mathbf{c} \cdot n_{3}>n_{1}>n_{2} \)
D. none of these, the specified changes cannot occu
Subject: Maths
Determine all ordered pairs that satisfy \( (x-y)^{2}+x^{2}=25, \) where \( x \) and \( y \) are
integers and \( x \geq 0 . \) Find the number of
different values of \( y \) that occur
A . 3
B. 4
\( c .5 \)
D. 6
Subject: Maths
\( f \) is a linear function. Values of \( x \) and
\( f(x) \) are given in the table; complete the table
\begin{tabular}{cc}
\( \boldsymbol{x} \) & \( \boldsymbol{f}(\boldsymbol{x}) \) \\
-3 & 17 \\
0 & \( - \) \\
\( - \) & 1 \\
4 & -18 \\
\hline \\
\( - \) & -30
\end{tabular}