AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
In the arrangement shown in figure pulleys are small, light and frictionless,
threads are inextensible and mass of
blocks \( A, B \) and \( C \) is \( m_{1}=5 k g, m_{2}=4 \)
kg and \( m_{3}=2.5 \) kg respectively.
Coefficient of friction for both the
planes is \( =\mathbf{0 . 5 0} \)
Acceleration of block \( \mathrm{C}\left(\text { in } \boldsymbol{m} / \boldsymbol{s}^{2}\right) \) is :
\( A \)
\( B .2 \)
\( c \)
D. None of these
Subject: Physics
Explain why (or how):
(a) in a sound wave, a displacement node is a pressure antinode and vice
versa,
(b) bats can ascertain distances
directions, nature and sizes of the
obstacles without any "eyes"
(c) a violin note and sitar note may have
the same frequency, yet we can distinguish between the two notes,
(d) solids can support both longitudinal and transverse waves, but only
longitudinal waves can propagate in gases, and
(e) the shape of a pulse gets distorted during propagation in a dispersive medium.
Subject: Maths
Solve:
(i) \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}=\boldsymbol{e}^{\boldsymbol{3} \boldsymbol{x}-\boldsymbol{2} \boldsymbol{y}}+\boldsymbol{x}^{2} \boldsymbol{e}^{-\boldsymbol{2} \boldsymbol{y}} \)
Subject: Chemistry
The equation representing the process by which standard reduction potential
of zinc can be defined
is
\( \mathbf{A} \cdot Z n^{2+}(s)+2 e^{-} \rightarrow Z n \)
\( \mathbf{B} \cdot Z n(g) \rightarrow Z n^{2+}(g)+2 e^{-} \)
\( \mathbf{c} \cdot Z n^{2+}(g)+2 e^{-} \rightarrow Z n \)
D. \( Z n^{2+}(a q .)+2 e^{-} \rightarrow Z n(s) \)
Subject: Physics
The coils made of the same material in
two moving coil galvanometers have
their areas in the ratio of 2: 3 and the
number of turns in the ratio of 4: 5
These two coils carry the same current and are situated in the same field. The
deflections produced by these two coils will be in the ratio of:
\( \mathbf{A} \cdot 8: 15 \)
B. 15: 8
c. 8: 1
D. 1: 4
Subject: Chemistry
Assertion
The solubility of noble gases in water decreases with increasing size of the
noble gas.
Reason
Solubility of noble gases in water is due
to dipole-dlpole interaction
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 person in an elevator accelerating upwards with an acceleration of \( 2 m s^{-2} \)
tosses a coin vertically upwards with a speed of \( 20 m s^{-1} \). After how much time
will the coin fall back into his hand?
(Take \( g=10 m s^{-2} \)
A \( \cdot \frac{5}{3} s \)
в. \( \frac{3}{10} s \)
c. \( \frac{10}{3} s \)
D. \( \frac{3}{5} s \)
Subject: Physics
If a note \( x \) of unknown frequency
produces 8 beats/sec, with a source of \( 250 \mathrm{Hz} \) and 12 beats/sec with a source
of \( 270 \mathrm{Hz} \), the frequency of unknown source will be:
A . 258 \( \mathrm{Hz} \)
в. 242 на
c. 262 н
D. 282 нz
Subject: Maths
A bus travels \( 120 \mathrm{km} \) in 4 hrs The distance that can be travelled by the
bus in 6 hrs is \( _{-} \)
\( \mathbf{A} \cdot 18 \mathrm{km} \)
B. 140 km
\( c .180 \mathrm{km} \)
D. 120 km
Subject: Chemistry
\( \boldsymbol{C H}_{2}=\boldsymbol{C H}-\boldsymbol{C H}_{2}-\boldsymbol{O H} \frac{1 . \boldsymbol{K H}}{2 . \boldsymbol{P h C H}_{2} \boldsymbol{B r}} \)
\( \boldsymbol{A} \frac{1 . B_{2} H_{6}}{2 . H_{2} O_{2} / O H^{-}} \boldsymbol{B} \)
The end product (B) is:
\( A \)
в.
\( c \)
D.
Subject: Chemistry
Which of the following statements
is/are wrong?
A. The gas displaced in Victor Meyer's method is air
B. The simplest formula that shows the ratio of the atoms of various elements present in the molecule is called the empirical formula
C. Estimation of oxygen in an organic compound is also made by Aluise's method
D. An organic monoacidic base B on reaction with \( H_{2} P t C l_{6} \) forms an insoluble compound \( B_{2} H_{2} P t C l_{6} \)
Subject: Maths
If \( \operatorname{cosec}^{-1}(\operatorname{cosec}(x)) \) and
\( \operatorname{cosec}\left(\operatorname{cosec}^{-1}(x)\right) \) are equal functions,
then the maximum range of value of \( x \)
is
A \( \cdot\left[-\frac{\pi}{2},-1\right] \cup\left[1, \frac{\pi}{2}\right] \)
в. \( \left(-\frac{\pi}{2},-1\right) \cup\left(1, \frac{\pi}{2}\right) \)
c. \( (-\infty,-1] \cup[1, \infty) \)
D. \( (-\infty,-1) \cup(1, \infty) \)
Subject: Biology
Read the following statements
regarding liver:
(A)Hepatic lobules are structural and functional unit of liver.
(B)Liver secreates bile, which contains
digestive enzymes
(C) Each hepatic lobule is covered by a thin epithetial tissue, called "Glisson's capsule"
(D) Hepato-pancreatic duct is guarded by sphincter of Boyden. Correct statements regarding liver is/are:-
A. one
B. Two
c. Three
D. Four
Subject: Maths
Prove that \( : \tan ^{-1}\left[\frac{6 x-8 x^{3}}{1-12 x^{2}}\right]- \)
\( \tan ^{-1}\left[\frac{4 x}{1-4 x^{2}}\right]=\tan ^{-1} 2 x,|2 x|<\frac{1}{\sqrt{3}} \)
Subject: Chemistry
At \( 90^{\circ} C, \) the following equilibrium is established
\( \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{S}(s) \rightleftharpoons \boldsymbol{H}_{2} \boldsymbol{S}(\boldsymbol{g}) \boldsymbol{K}_{\boldsymbol{p}}=\mathbf{6 . 8} \times \)
\( \mathbf{1 0}^{\mathbf{2}} \)
If 0.2 mol of hydrogen and 1.0 mol of
sulphur are heated to \( 90^{\circ} \mathrm{C} \) in a 1.0 litre vessel, what will be the partial pressure
of \( \boldsymbol{H}_{2} \boldsymbol{S} \) at equilibrium?
A . 0.19 atm
B. 0.379 atm
c. 0.75 atm
D. None of these
Subject: Physics
A closed thermally insulated vessel
contains \( 100 g \) of water at \( 0^{\circ} C . \) If the an
from this vessel in rapidly pumped out, intensive evaporation will produce cooling and as a result of this water will
freeze. How much ice will be formed by this method? If latent heat of fusion is
\( 80 c a l / g \) and of evaporation \( 560 c a l / g \)
Subject: Physics
Q Type your question
\( \operatorname{speea} v_{0}=1.00 \times 10^{-} \mathrm{ms}^{-} \) into tne
uniform field between the parallel
plates as shown in figure. Assume that the field between the plates is uniform and directed vertically downward, and
that the field outside the plates is zero. The electron enters the field at a point
midway between the plates. Mass of
electron is \( 9.1 \times 10^{-31} k g . \) For the
condition that electronjust misses the
upper plate, the magnitude of electric field is :
\( \mathbf{A} \cdot 124 N C^{-1} \)
B . \( 364 N C^{-1} \)
C \( .224 \mathrm{NC}^{-1} \)
D. \( 520 N C^{-1} \)
Subject: Physics
The vertical forces that the ground
exerts on a stationary van are shown.
The van is \( 2.50 \mathrm{m} \) long with the wheels
at a distance of \( 0.600 \mathrm{m} \) from the front
of the van and \( 0.400 \mathrm{m} \) from the rear of
the van.

What is the horizontal distance of the
van's centre of gravity from the front of the van?
A. \( 0.540 \mathrm{m} \)
B. 0.960 m
c. \( 1.14 \mathrm{m} \)
D. \( 1.36 \mathrm{m} \)
Subject: Physics
Three small spheres, each carrying a
charge \( q \) are placed on the circumference of a circle of radius \( R \)
forming an equilateral triangle. If we
place another charge \( Q \) at the center of the circle, then the force on \( Q \) will be
A. zero
В. \( \frac{1}{4 \pi \epsilon_{0}} \times \frac{q Q}{R^{2}} \)
c. \( \frac{1}{4 \pi \epsilon_{0}} \times \frac{2 q Q}{R^{2}} \)
D. \( \frac{1}{4 \pi \epsilon_{0}} \times \frac{3 q Q}{R^{2}} \)
Subject: Physics
The moment of inertia of a cylinder of
radius \( a, \) mass \( M \) and height \( h \) about
an axis parallel to the axis of the
cylinder and distance \( b \) from its centre
is
A \( \cdot \frac{3}{4} M(a-b)^{2} \)
в. \( \frac{2}{3} M(a+b)^{2} \)
c. \( \frac{3}{2} M a^{2} \)
D. \( \frac{M\left(a^{2}+2 b^{2}\right)}{2} \)
Subject: Maths
\( \operatorname{Let} \boldsymbol{A}+\boldsymbol{B}=\left[\begin{array}{cc}\mathbf{2} & \mathbf{3} \\ \mathbf{5} & -\mathbf{1}\end{array}\right], \) where \( \mathbf{A} \) is \( \mathbf{a} \)
symmetric matrix and B is a skew symmetric matrix, then \( A \times B \) is equal
to?
\( ^{A} \cdot\left[\begin{array}{ll}4 & 2 \\ 1 & 4\end{array}\right] \)
в. \( \left[\begin{array}{cc}-4 & 2 \\ 1 & 4\end{array}\right] \)
c. \( \left[\begin{array}{cc}4 & -2 \\ -1 & -4\end{array}\right] \)
D. \( \left[\begin{array}{cc}-4 & 2 \\ 1 & -4\end{array}\right] \)
Subject: Maths
f \( \boldsymbol{y}=\tan ^{-1}\left(\frac{\sqrt{1+\boldsymbol{a}^{2} \boldsymbol{x}^{2}}-\mathbf{1}}{\boldsymbol{a} \boldsymbol{x}}\right), \) then
\( \left(1+a^{2} x^{2}\right) y^{\prime \prime}+2 a^{2} x y^{1}= \)
A . \( -2 a^{2} \)
B \( \cdot a^{2} \)
\( c \cdot 2 a^{2} \)
\( D \)
Subject: Physics
Sequence of energy conversion in a thermal power plant is:
P) Heat energy Q) Electrical energy R Mechanical energy
A \( . P \rightarrow Q \rightarrow R \)
в. \( P \rightarrow R \rightarrow Q \)
c. \( R \rightarrow Q \rightarrow P \)
D. \( Q \rightarrow R \rightarrow P \)
Subject: Physics
Assertion
Actual atomic mass is greater than
mass number.
Reason
Mass of protons and neutrons is measured in daltons or atomic mass
unit (u) but the mass of each neutron
and proton is slightly greater than 1
dalton
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
Two identical flutes produce
fundamental notes of frequency \( 300 \mathrm{Hz} \)
at \( 27^{\circ} \mathrm{C} . \) If the temperature of the air in
one flute is increased to \( 31^{\circ} \mathrm{C} \)
the number of beats heard per second will be :
\( A \)
B. 2
\( c \cdot 3 \)
D. 4
Subject: Physics
If particle takes \( t \) seconds less and acquires a velocity of \( \mathrm{v} \mathrm{m} / \mathrm{s} \) more in falling through the same distance on to planets where the acceleration due to gravity are \( 2 g \) and \( 8 g \) respectively, then
A. \( v=4 g t \)
B. \( v=5 g t \)
c. \( v=2 g t \)
D. \( v=16 g t \)
Subject: Maths
If \( A \) is non-singular and \( (A+I)(A- \)
\( \mathbf{3} \boldsymbol{I})=\mathbf{0} \) then \( \mathbf{3} \boldsymbol{A}^{-1}-\boldsymbol{A}+\mathbf{2} \boldsymbol{I} \)
A . \( I \)
B.
c. \( 2 I \)
D. \( 6 I \)
Subject: Physics
Four light waves are represented by
\( (i) y=a_{1} \sin \omega t \)
\( (i i) y= \)
\( a_{2} \sin (\omega t+\varepsilon) \)
\( (i i i) y=a_{1} \sin 2 \omega t \quad(i v) y= \)
\( \boldsymbol{a}_{2} \sin 2(\boldsymbol{\omega} \boldsymbol{t}+\boldsymbol{\varepsilon}) \)
Interference fringes may be observed due to superposition of This question has multiple correct options
A \( \cdot(i) \) and \( (i i) \)
B. ( \( i \) ) and (iii)
c. ( \( i i \) ) and \( (i v) \)
D. (iii) and (iv)
Subject: Physics
A force of \( 10 \mathrm{N} \) is resolved into the
perpendicular components. If the first
component makes \( 30^{0} \) with the force
the magnitudes of the components are:
A . 5N, 5N
B . \( 5 \sqrt{2} \mathrm{N}, \) 5N
\( \mathbf{c} \cdot 5 \sqrt{3} \mathbf{N}, 5 \mathrm{N} \)
D. \( 10 \mathrm{N}, 1 \sqrt{3} \mathrm{N} \)
Subject: Physics
Two wires each of radius of cross
section \( r \) but of different materials are
connected together end to end (in series). If the densities of charge carriers in the two wires are in the
ration \( 1: 4, \) the drift velocity of
electrons in the two wires will be in the
ratio:
A .1: 2
B . 2: 1
c. 4: 1
D. 1: 4
Subject: Chemistry
Which of the following has \( \boldsymbol{p} \boldsymbol{\pi}-\boldsymbol{d} \boldsymbol{\pi} \)
bonding?
A \( . N O_{3}^{-} \)
в. \( S O_{3}^{2} \)
\( \mathrm{c} \cdot B O_{3}^{3-} \)
D. \( C O_{3}^{2-} \)
Subject: Physics
A transverse wave propagating along \( \boldsymbol{x}-\operatorname{axis} \) is represented by \( \boldsymbol{y}(\boldsymbol{x}, \boldsymbol{t})= \)
\( 8.0 \sin (0.5 \pi x-4 \pi t-\pi / 4), \) wherex is
in metres and \( t \) is in seconds. The speed
of the wave is
A. \( 8 m / s \)
в. \( 4 \pi m / s \)
\( \mathbf{c} \cdot 0.5 \pi m / s \)
D. \( \pi / 4 \mathrm{m} / \mathrm{s} \)
Subject: Physics
The instantaneous angular position of a point on a rotating wheel is given by the equation \( \boldsymbol{\theta}(\boldsymbol{t})=2 \boldsymbol{t}^{3}-\boldsymbol{6} \boldsymbol{t}^{2} . \) The torque on
the wheel becomes zero at :
\( \mathbf{A} \cdot t=1 s \)
B. \( t=0.5 s \)
c. \( t=0.25 s \)
\( \mathbf{D} \cdot t=2 s \)
Subject: Chemistry
If concentration of two weak bases are
same and degree of dissociation \( (\boldsymbol{\alpha}) \) are very less, then their relative strength can be compared by This question has multiple correct options
A \( \cdot \frac{\left[O H^{-}\right]_{1}}{\left[O H^{-}\right]_{2}} \)
в. \( \frac{K_{b_{1}}}{K_{b_{2}}} \)
c. \( \frac{\alpha_{1}}{\alpha_{2}} \)
D. \( \frac{\sqrt{K_{b_{1}}}}{\sqrt{K_{b_{2}}}} \)
Subject: Maths
Expressing \( \vec{a} \) and \( \vec{b} \) as linear combinations of \( \vec{c} \) and \( \overrightarrow{\boldsymbol{d}} \) we \( \operatorname{get} \overrightarrow{\boldsymbol{a}}= \)
\( k \vec{c}+m \vec{d} \) and \( \vec{b}=h \vec{c}+r \vec{d} \)
Find integer part of \( \boldsymbol{k}+\boldsymbol{m}+\boldsymbol{h}+\boldsymbol{r} \) ?
\( -\boldsymbol{a}+\boldsymbol{b}=-\boldsymbol{c} ; \mathbf{2} \boldsymbol{a}-\boldsymbol{b}=\boldsymbol{c}+\boldsymbol{d} \)
A \( \cdot \frac{21}{4} \)
в. \( \frac{27}{8} \)
c. \( \frac{25}{8} \)
D. \( \frac{33}{8} \)
E \( \frac{31}{8} \)
F. \( \frac{29}{8} \)
G. \( \frac{23}{8} \)
Subject: Maths
The converse of "if in a triangle
\( A B C, A B>A C, \) then \( \angle C=\angle B^{\prime \prime}, \) is
\( \mathbf{A} \cdot \) If in a triangle \( A B C, \angle C=\angle B, \) then \( A B>A C \)
B. If in a triangle \( A B C, A B \not=A C, \) then \( \angle C \not=\angle B \).
C. If in a triangle \( A B C, \angle C \not=\angle B, \) then \( A B \not=A C \)
D. If in a triangle \( A B C, \angle C \not=\angle B, \) then \( A B>A C \).
Subject: Maths
The daily sale of milk (in litres) in a
ration shop for eight days is as follows\( \mathbf{6 0}, \mathbf{4 0}, \mathbf{1 0}, \mathbf{4 0}, \mathbf{4}, \mathbf{7 0}, \mathbf{3 0} \) and \( \mathbf{1 0} . \) The
average daily sale is-
A . 40
B. 33
\( c .64 \)
D. 24
Subject: Maths
If the sum of \( n \) terms of a GP (with
common ratio \( r \) ) beginning with the \( p^{t h} \)
term is \( k \) times the sum of an equal
number of the same series beginning with the \( q^{t h} \) term, then the value of \( k \) is
A \( \cdot r^{p / q} \)
B \( \cdot r^{a / p} \)
c. \( r^{p-q} \)
D. \( r^{p+q} \)
Subject: Maths
The sum of the series \( 1-\frac{3}{2}+\frac{5}{4}-\frac{7}{8}+ \)
\( \ldots \infty \) is
\( ^{A} \cdot \frac{2}{9} \)
B. \( \frac{-4}{9} \)
c. \( \frac{4}{9} \)
D. \( \frac{-2}{9} \)
Subject: Chemistry
The following mechanism has been
proposed for the reaction of \( N O \) with
\( B r, \) to form \( N O B r \) \( N O_{(g)}+B r_{2(g)} \stackrel{\text {fast}}{\rightleftharpoons} N O B r_{2(g)}, N O+ \)
\( \boldsymbol{B} \boldsymbol{r}_{2(g)}+\boldsymbol{N} \boldsymbol{O}_{(g)} \stackrel{\text {slow}}{\rightleftharpoons} \quad \boldsymbol{2} \boldsymbol{N} \boldsymbol{O} \boldsymbol{B} \boldsymbol{r}_{(g)} \)
If the second step is the rate determining step, the order of the
reaction with respect to \( N O_{(g)} \) is:
A.
в.
\( c .3 \)
D.
Subject: Physics
Two Straight metallic strips each of thickness t and length I are rivetted together. Their coefficients of linear
expansions are \( \alpha_{1} \) and \( \alpha_{2} . \) If they are
heated through temperature \( \Delta T \), the
bimetallic strip will bend to form an arc of radius
\( \mathbf{A} \cdot t /\left[\left(a_{1}+a_{2}\right) \Delta T\right] \)
B \( \cdot t /\left[\left(a_{2}-a_{1}\right) \Delta T\right] \)
c. \( t\left(a_{1}+a_{2}\right) \Delta T \)
D. \( t\left(a_{2}+a_{1}\right) \Delta T \)
Subject: Physics
Two vibrating strings of the same material but lengths \( L \) and \( 2 L \) have
radii \( 2 r \) and \( r \) respectively. They are
stretched under the same tension.
Both the strings vibrate in their fundamental modes, the one of length \( L \)
with frequency \( v_{1} \) and the other with frequency \( v_{2} . \) The ratio \( \frac{v_{1}}{v_{2}} \) is given by
\( A \cdot 2 \)
B. 4
\( c .8 \)
D.
Subject: Maths
The radius of any circle touching the \( \operatorname{lines} 3 x-4 y+5=0 \) and \( 6 x-8 y- \)
\( \mathbf{9}=\mathbf{0} \) is
A \( \cdot \frac{19}{10} \)
в. \( \frac{19}{20} \)
c. \( \frac{9}{20} \)
D. \( \frac{90}{20} \)
Subject: Chemistry
The van't Hoff factor of \( B a C l_{2} \) at \( 0.01 \mathrm{M} \)
concentration is \( 1.98 . \) The percentage of
dissociation of \( B a C l_{2} \) at this
concentration is:
A .49
B. 69
\( c \cdot 89 \)
D. 100
Subject: Physics
A ray of light is incident on one face of
prism with refracting angle \( \boldsymbol{A}\left(<\mathbf{9 0}^{\circ}\right) \)
The incident ray is normal to the other face of the prism. If \( C \) is the critical angle for prism air interface, then the ray will emerge from this faces only if
A \( \cdot \cot C<\cot A+1 \)
B. \( \cot C>\cot A+1 \)
c. \( \cot A<\cot C+1 \)
D. \( \cot A>\cot C+1 \)
Subject: Maths
The first order differential equation of
the family of circles with fixed radius \( \mathbf{r} \)
and with centre on \( x \) -axis is:
A \( \cdot y^{2}\left(\frac{d y}{d x}\right)^{2}+y^{2}=r^{2} \)
B・ \( x^{2}\left(\frac{d y}{d x}\right)^{2}+y^{2}=r^{2} \)
c. \( \left(\frac{d y}{d x}\right)^{2}+y^{2}=r^{2} \)
D. \( y^{2}-\left(\frac{d y}{d x}\right)^{2}=r^{2} \)
Subject: Physics
A circuit consists of a coil with
inductance \( L \) and an uncharged capacitor of capacitance C.The coil is in a constant uniform magnetic field such
that the flux through the coil is \( \mathbf{\Phi} . \mathbf{A t} \)
time \( t=0, \) the magnetic field is
abruptly switched off. Let \( \omega_{0}=1 / \sqrt{L C} \)
and ignore the resistance of the circuit.
Then:
A . current in the circuit is \( I(t)=(\Phi / L) \cos \omega_{0} t \)
B. Magnitude of the charge on the capacitor is \( |Q(t)|= \) \( 2 C \omega_{0} \mid \sin \omega_{0} t \)
C. initial current in the circuit is infinite
D. initial charge on the capacitor is \( C \omega_{0} \Phi \)
Subject: Physics
A convex mirror used for rear view on an
automobile has a radius of curvature of
\( 3.00 \mathrm{m} . \) If a bus is located at \( 5.00 \mathrm{m} \) from
this mirror, find magnification?
\( A \cdot+0.23 \)
B. - -0.23
\( c \cdot+0.45 \)
D. -0.45
Subject: Chemistry
\( N X \) is produced by the following step of reactions:
\( \boldsymbol{M}+\boldsymbol{X}_{2} \longrightarrow \boldsymbol{M} \boldsymbol{X}_{2} \)
\( \mathbf{3} \boldsymbol{M} \boldsymbol{X}_{\mathbf{2}}+\boldsymbol{X}_{\mathbf{2}} \longrightarrow \boldsymbol{M}_{\mathbf{3}} \boldsymbol{X}_{\mathbf{8}} \)
\( M_{3} X_{8}+N_{2} C O_{3} \longrightarrow N X+C O_{2}+ \)
\( \boldsymbol{M}_{3} \boldsymbol{O}_{4} \)
How much \( M \) (metal) is consumed to
produce \( 206 g m \) of \( N X ? \) (Take atomic weight of \( \boldsymbol{M}=\mathbf{5 6}, \boldsymbol{N}= \)
\( \mathbf{2 3}, \mathbf{X}=\mathbf{8 0}) \)
\( \mathbf{A} \cdot 42 g m \)
в. \( 336 g m \)
c. \( \frac{14}{3} g m \)
D \( \cdot \frac{7}{4}^{g m} \)
Subject: Physics
simultaneously from point A. P moves
along a smooth horizontal wire \( A B . Q \)
moves along a curved smooth track. \( Q \)
has sufficient velocity at \( A \) to reach \( B \) always remaining in contact with the curved track. At A, the horizontal
component of velocity of \( Q \) is same as
the velocity of \( \mathrm{P} \) along the wire. The
plane of motion is vertical. If \( t_{1}, t_{2}, \) are
times taken by \( P \& Q \) respectively to
reach B then (Assume velocity of P is
constant)
\( \mathbf{A} \cdot t_{1}=t_{2} \)
\( \mathbf{B} \cdot t_{1}>t_{2} \)
\( \mathbf{c} \cdot t_{1}<t_{2} \)
D. none of these
Subject: Chemistry
To stop bleeding, \( F e C l_{3} \), is applied
locally because:
A. \( F e C l_{3} \) seals the blood vessels
B. \( F e C l_{3} \) changes the direction of blood flow
\( \mathrm{c} \cdot \mathrm{FeCl}_{3} \) reacts with blood to form a solid substance which seals the blood vessel
D. \( F e C l_{3} \) causes denaturation of proteins present in blood
Subject: Maths
Find the area of circle in sq. cms, in which the chord of length \( 18 \mathrm{cm} \) is at the distance of half of the radius of circle
from the centre of circle:
A . \( 108 \pi \)
B. \( 54 \pi \)
c. \( 27 \pi \)
D. \( 81 \pi \)
Subject: Chemistry
When one litre of a saturated solution of
\( P b C l_{2} \) (molecular weight \( =278 \) g/mol) is evaporated, the residue is found to
weigh 2.78 g. If \( K_{s p} \) of \( P b C l_{2} \) is
represented as \( y \times 10^{-6}, \) then find the
value of \( \boldsymbol{y} \)
Subject: Chemistry
When \( K M n O_{4} \) reacts with \( H_{2} O_{2} \) in acidic medium then which of the
following is formed?
\( \mathbf{A} \cdot M n^{+2} \)
B. \( M n^{+7} \)
c. \( M n O_{2} \)
D. \( M n_{2} O_{3} \)
Subject: Physics
In an intrinsic semiconductor, the
density of conduction electrons is \( \mathbf{7 . 0 7} \times \mathbf{1 0}^{\mathbf{1 5}} \mathbf{m}^{-3} . \) When it is doped with
indium, the density of holes becomes \( 5 \times 10^{22} m^{-3} . \) Find the density of
conduction electrons in doped
semiconductor
A. \( Z \) ero
В. \( 1 \times 10^{9} m^{-3} \)
c. \( 7 \times 10^{15} m^{-3} \)
D. \( 5 \times 10^{22} m^{-3} \)
Subject: Physics
freadings of spring balances \( S_{1}, S_{2}, S_{3} \)
and \( S_{4} \) are a \( \mathrm{kg}, \mathrm{b} \mathrm{kg}, \mathrm{c} \) kg respectively then choose the correct option
\( A \cdot a<b<c<d \)
B. b \( <c<d \)
\( c \cdot c=a<b<d \)
\( D \cdot d=a \)
Subject: Physics
An LCR series circuit with \( 100 \Omega \)
resistance is connected to an ac source
of \( 200 \mathrm{V} \) and of frequency of \( 300 \mathrm{rad} / \mathrm{s} \) When only the capacitance is removed, the current lags behind the voltage by
\( 60^{0} . \) When only the inductance is
removed, the current leads the voltage
by \( 60^{0} \) the current through the circuit is:
\( A \cdot 1 A \)
B. 2 A
\( c \cdot 3 A \)
D. \( 4 \mathrm{A} \)
Subject: Chemistry
Xenon hexafluoride on partial
hydrolysis produces compounds 'X' and
'Y'. Compounds 'X' and 'Y' and the oxidation state of \( \mathrm{Xe} \) are respectively
A \( \cdot X e O F_{4}(+6) \) and \( X e O_{2} F_{2}(+6) \)
в. \( \operatorname{XeOF}_{4}(+6) \) and \( X e O_{3}(+6) \)
c. \( X e O_{2} F_{2}(+6) \) and \( X e O_{2}(+4) \)
D. \( X e O_{2}(+4) \) and \( X e O_{3}(+6) \)
Subject: Physics
Assertion
(A) : The value of coefficient
of restitution is independent of the masses and velocities of the colliding bodies but depends on their materials. Reason (R) : Coefficient of restitution is
the ratio of the relative velocity of separation or the relative velocity of approach
A. Both Assertion
(A) and Reason
(R) are correct and R is the correct explanation
B. Both Assertion
(A) and Reason
(R) are correct but the reason does not give the correct explanation
c. A is true but R is false
D. A is false but R is true
Subject: Physics
The focal length of a convex lens of
refractive index 1.5 is \( f \) when it is
places in air. When it is immersed in a
liquid it behaves as a converging lens its focal length becomes \( x f(x>1) \). The refractive index of the liquid
\( A \cdot>3 / 2 \)
B. \( <(3 / 2) \) and \( >1 \)
\( c \cdot<3 / 2 \)
D. all of these
Subject: Maths
Vikas and Vasu punt a ball into the air.
The equation \( \boldsymbol{h}=-\mathbf{1 6} \boldsymbol{t}^{2}+\boldsymbol{6 0} \boldsymbol{t} \)
represents the height of ball in feet, seconds after it was punted for Vikas's ball. Which of the following can be Akanksha's ball height equation if her ball goes higher?
A \( \cdot h=-16\left(t^{2}-3 t\right) \)
B . \( h=-8 t\left(2 t^{2}-9\right) \)
c. \( h=-4\left(2 t^{2}-5\right)^{2}+48 \)
D. \( h=-4\left(2 t^{2}-6\right)^{2}+52 \)
Subject: Chemistry
During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its temperature. The ratio of \( \frac{C_{p}}{C_{v}} \) for the gas is
A \( \cdot \frac{4}{3} \)
B. 2
\( c \cdot \frac{5}{3} \)
D. \( \frac{3}{2} \)