AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
When a sound wave of frequency \( 300 \mathrm{Hz} \) passes through medium, the maximum displacement of a particle of the
medium is \( 0.1 \mathrm{cm} . \) The maximum
velocity of the particle is equal to.
\( \mathbf{A} \cdot 60 \pi \mathrm{cm} / \mathrm{s} \)
B. \( 30 \pi \mathrm{cm} / \mathrm{s} \)
\( \mathrm{c} \cdot 60 \mathrm{cm} / \mathrm{s} \)
D. \( 30 \mathrm{cm} / \mathrm{s} \)
Subject: Maths
The solution set of \( x^{2}+2 \leq 3 x \leq \)
\( 2 x^{2}-5, \) is
\( A \cdot \phi \)
B. [1,2]
c. \( (\infty, 1) \cup[5 / 2, \infty) \)
D. None of these
Subject: Physics
Two bodies of mass \( 10 \mathrm{kg} \) and \( 2 \mathrm{kg} \) are moving with velocities \( 2 \hat{i}-7 \hat{j}+ \) \( 3 \hat{k} m s^{-1} \) and \( -10 \hat{i}+35 \hat{j}-3 \hat{k} m s^{-1} \)
respectively. The velocity of their centre of mass is:
A . 2 ims \( ^{-1} \)
B. \( 2 \hat{k} m s^{-1} \)
\( \mathbf{c} \cdot(2 \hat{j}+2 \hat{k}) m s^{-1} \)
D. \( (2 \hat{j}+2 \hat{k}+\hat{k}) m s^{-1} \)
Subject: Maths
What is the degree of the differential quation \( \left(\frac{d^{3} y}{d x^{3}}\right)^{3 / 2}=\left(\frac{d^{2} y}{d x^{2}}\right)^{2} ? \)
\( \mathbf{A} \cdot \mathbf{1} \)
B . 2
\( c \cdot 3 \)
\( D \)
Subject: Physics
Assertion
Two coaxial conducting rings of different radii are placed in space. The mutual inductance of both the rings is
maximum if the rings are also coplanar
Reason
For two coaxial conducting rings of different radii, the magnitude of
magnetic flux in one ring due to current in the other is maximum when both the
rings are coplanar.
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 vertical ring of radius \( r \) and
resistance \( \boldsymbol{R} \) falls vertically. lt is in
contact with two vertical rails which are
joined at the top. The rails are without friction and resistance. There is a
horizontal uniform magnetic field of
magnitude \( B \) perpendicular to the
plane of the ring and the rails. When the
speed of the ring is \( v, \) the current in the top horizontal of the rail section is
A . 0
B. \( \frac{2 B r v}{R} \)
\( ^{\mathrm{c}} \cdot \frac{4 B r v}{R} \)
D. \( \frac{8 B r v}{R} \)
Subject: Chemistry
A sample of water has a hardness
expressed as 77.5 ppm \( C a^{2+} . \) This sample is passed through an ion
exchange column and \( C a^{2+} \) is replaced
by \( \boldsymbol{H}^{+} . \) Select correct statement(s).
This question has multiple correct options
A. pH of the water after it has been so treated is 2.4
B. Every \( C a^{2+} \) ion is replaced by one \( H^{+} \) ion.
C . Every \( C a^{2+} \) ion is replaced by two \( H^{+} \) ions.
D. pH of the solution remains unchanged.
Subject: Maths
\( \operatorname{lt} \frac{x}{a}+\frac{y}{b}=a^{2}+b^{2} \) and \( \frac{x}{a^{2}}+\frac{y}{b^{2}}=a+ \)
\( \boldsymbol{b} \) then \( \boldsymbol{x}=? \)
\( \mathbf{A} \cdot a \)
B \( \cdot a^{2} \)
\( c \cdot a^{3} \)
D. \( a^{4} \)
Subject: Maths
The equation of the circle which
touches \( x \) -axis and whose center is (1,2)
is
\( \mathbf{A} \cdot x^{2}+y^{2}-2 x+4 y+1=0 \)
B . \( x^{2}+y^{2}-2 x-4 y+1=0 \)
\( \mathbf{c} \cdot x^{2}+y^{2}+2 x+4 y+1=0 \)
D. \( x^{2}+y^{2}-4 x+2 y+4=0 \)
Subject: Maths
In \( \triangle A B C, D \) is the midpoint of \( A B \) and \( E \)
is mid point of AC. If area of \( \triangle \mathrm{ADE}=11 \)
square units then area of \( \triangle \mathrm{ABC} \) is
A. 33 square units
B. 22 square units
c. 44 square units
D. None of the above
Subject: Maths
Find the value of \( \sin \left(15^{0}\right) \)
A \( \frac{\sqrt{3}-1}{2 \sqrt{2}} \)
B. \( \frac{\sqrt{3}+1}{2 \sqrt{2}} \)
c. \( \frac{\sqrt{3}-1}{\sqrt{2}} \)
D. None of these
Subject: Chemistry
Given the hypothetical reaction \( 2 A+ \) \( \boldsymbol{B} \rightleftharpoons \boldsymbol{C}+\mathbf{3} \boldsymbol{D}, \) the equilibrium constant
for this reaction is:
I. Directly proportional to the
concentration of \( D^{3} \)
II. Inversely proportional to the concentration of \( \boldsymbol{A} \)
III. inversely proportional to the concentration of \( C \)
A. I, II, and III
B. I and II only
c. ॥ and III only
D. I only
Subject: Physics
A transformer with turns ratio \( \frac{N_{1}}{N_{2}}= \) \( \mathbf{5 0} \)
\( \frac{w}{1} \) is connected to a 120 volt \( A C \) supply
If primary and secondary circuit resistance are \( 1.5 k \Omega \) and \( 1 \Omega \)
respectively then find out power out put
A \( .5 .76 \mathrm{w} \)
B. \( 11.4 \mathrm{w} \)
c. \( 2.89 \mathrm{w} \)
D. \( 7.56 \mathrm{w} \)
Subject: Chemistry
The equilibrium constant for the
reaction, \( \boldsymbol{N}_{2}(\boldsymbol{g})+\boldsymbol{3} \boldsymbol{H}_{2}(\boldsymbol{g}) \rightleftharpoons \mathbf{2} \boldsymbol{N} \boldsymbol{H}_{3}(\boldsymbol{g}) \)
\( \operatorname{at} 715 K \) is \( 6.0 \times 10^{-2} M^{-2} . \) If in a
particular reaction, there are 0.25 mol \( L^{-1} \) of \( H_{2} \) and 0.06 mol \( L^{-1} \)
of \( N H_{3} \) present, calculate the
concentration of \( N_{2} \) at equilibrium.
Subject: Maths
\( \operatorname{Let} 2 y=\left(\cot ^{-1}\left(\frac{\sqrt{3} \cos x+\sin x}{\cos x-\sqrt{3} \sin x}\right)\right)^{2} \)
then \( \frac{\boldsymbol{a} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \) is equal to
A \( \cdot x-\frac{\pi}{6} \)
B. \( x+\frac{\pi}{6} \)
c. \( 2 x-\frac{\pi}{6} \)
D. \( 2 x-\frac{\pi}{3} \)
Subject: Physics
An inclined plane of length \( 5.60 m \)
making an angle of \( 45^{\circ} \) with the horizontal is placed in an uniform electric field \( \boldsymbol{E}=\mathbf{1 0 0} \boldsymbol{V m}^{-1} . \) A particle
of mass \( 1 k g \) and charge \( 10^{-2} C \) is allowed to slide down from rest position
from maximum height of slope. If the
coefficient of friction is \( 0.1, \) the time
taken by the particle to reach the bottom is
\( \mathbf{A} \cdot 1 s \)
B. \( 1.41 s \)
c. \( 2 s \)
D. None of these
Subject: Physics
A bottle is filled with water. A cap is put on the bottle and it is turned upside down. There is no air inside the bottle.
The area of the cap in contact with the
water is \( 4.0 \times 10^{-4} \mathrm{m}^{2} . \) The density of
water is \( 1000 \mathrm{kg} \mathrm{m}^{-3} \) and the
gravitational field strength is
\( 10 N k g^{-1} . \) The water produces a force
on the cap.What is the value of this force?
B. \( 0.12 N \)
c. \( 1.2 N \)
D. 13 \( N \)
Subject: Chemistry
\( C N^{-} \) and \( N_{2} \) are isoelectronic. But in
contrast to \( C N^{-}, N_{2} \) is chemically
inert because of:
A. smaller \( N-N \) bond energy
B. I arger \( N-N \) bond energy
c. low inoziation enthalpy
D. none of these
Subject: Physics
The vertical displacement of the particle of the string at \( x=7 \mathrm{cm} \) and \( t \)
\( =0.01 s \) will be
A. \( 0.75 \mathrm{cm} \)
B. \( 0.5 \mathrm{cm} \)
c. \( 0.25 \mathrm{cm} \)
D. zero
Subject: Physics
Match the following
List I
a. Static \( \quad \) e. constant for a given pair of friction \( \quad \) surfaces
b. Limiting \( \quad \) f. independent of area of contact friction
c. Kinetic \( \quad \) g. self adjusting friction
d. Rolling \( \quad \) h. has the least magnitude for a friction \( \quad \) given normal reaction
\( \mathbf{A} \cdot a \rightarrow e ; b \rightarrow f ; c \rightarrow g ; d \rightarrow h \)
B \( \cdot a \rightarrow h ; b \rightarrow f ; c \rightarrow e ; d \rightarrow g \)
\( \mathbf{c} \cdot a \rightarrow g ; b \rightarrow e ; c \rightarrow f ; d \rightarrow h \)
\( \mathbf{D} \cdot a \rightarrow g ; b \rightarrow h ; c \rightarrow f ; d \rightarrow e \)
Subject: Physics
A student uses a converging lens to produce an enlarged virtual image of a scale she wishes to read accurately. The
focal length of the lens is \( 10 \mathrm{cm} \). What
is a suitable distance between the scale
and the lens?
\( A \cdot 8 c m \)
B. \( 10 \mathrm{cm} \)
\( \mathrm{c} \cdot 15 \mathrm{cm} \)
D. \( 20 \mathrm{cm} \)
Subject: Chemistry
The e.m.f of the cell obtained by combining Zn and Cu electrode of a Daniel cell with \( \mathrm{N} \) calomel electrode in
two different arrangements are \( 1.083 \mathrm{V} \)
and \( 0.018 \mathrm{V} \) respectively at \( 25^{\circ} \mathrm{C} \). If the standard reduction potential of \( \mathrm{N} \)
calomel electrode is \( 0.28 \mathrm{V} \) the emf
(V) of Daniel cell is (write the
value to the nearest integer)
Subject: Physics
How would you demonstrate that
momentary current can be obtained by
the suitable use of a magnet, a coil of
wire and a galvanometer?
A. By moving the magnet towards the coil connected to the galvanometer
B. By moving the magnet away from the coil connected to the galvanometer
\( c \cdot \operatorname{both} A \& B \)
D. Insufficient information
Subject: Chemistry
How much \( B a C l_{2} \) would be needed to
make 250 ml of a solution having the
same concentration of \( C l^{-} \) as one
containing \( 3.78 g N a C l \) per 100 ml?
\( (B a=137) \)
A. \( 22.4 g \)
в. \( 16.8 g \)
c. \( 67.2 g \)
D. 33.6 \( g \)
Subject: Physics
Young's double slit experiment is performed at 589 nm light with a distance of \( 2.00 \mathrm{m} \) between the slits
and the screen. The tenth
interference minimum is observed 7.26
\( \mathrm{mm} \) from the central maximum. The
spacing of the slits is
A. \( 15.4 m m \)
B. \( 154 m m \)
c. \( 1.54 m m \)
D. \( 0.154 \mathrm{mm} \)
Subject: Chemistry
Consider the Arrhenius equation given
below and mark the correct option \( : k= \)
\( \boldsymbol{A} \boldsymbol{e}^{-\boldsymbol{E}_{a} / \boldsymbol{R} \boldsymbol{T}} \)
A. Rate constant increases exponentially with increasing activation energy and decreasing temperature
B. Rate constant decreases exponentially with increasing activation energy and decreasing temperature
C. Rate constant increases exponentially with decreasing activation energy and decreasing temperature
D. Rate constant increases exponentially with decreasing activation energy and increasing temperature
Subject: Physics
The work done in driving a liquid through a pipe against a pressure difference of \( 200 \mathrm{K} \) Pa between the
ends of a pipe at \( 20 K m^{3} \) of water
\( \begin{array}{ll}\text { A. } 2 \times 10^{9} & \text { J }\end{array} \)
В. \( 4 \times 10^{9} \) Л
\begin{tabular}{ll} 
с. \( 8 \times 10^{9} \) & Л \\
\hline
\end{tabular}
D. \( 16 \times 10^{9} J \)
Subject: Physics
A plank with a uniform sphere placed on it rests on a smooth horizontal plane.
Plank is pulled to right by a constant force \( F, \) If sphere does not slip over the
plank:
This question has multiple correct options
A. both have same acceleration
B. acceleration of centre of sphere is less then that of the plank
C. work done by friction acting on the sphere is equal to its total KE
D. total KE of the system is equal to work done by the force \( F \)
Subject: Maths
Using the above approximation, the
value of \( \cos 40^{\circ} \) is
A \( \cdot \frac{1}{\sqrt{2}}-\frac{\pi}{\sqrt{2} 36} \)
в. \( \frac{1}{\sqrt{2}}+\frac{\pi}{36 \sqrt{2}} \)
c. 0.747
D. 0.7267
Subject: Physics
When a current \( I \) is set up in a wire of
radius \( r, \) the drift velocity is \( v_{d} . \) If the
same current is set up through a wire of radius \( 2 r, \) the drift velocity will be
A . \( 4 v_{d} \)
в. \( 2 v_{d} \)
c. \( \frac{v_{d}}{2} \)
D. \( \frac{v_{d}}{4} \)
Subject: Physics
A weight ' \( W \) ' can be just supported on a
rough horizontal plane by a force ' \( \boldsymbol{F} \) '
either acting along the plane or
horizontally. If \( \theta \) is the angle of friction, then \( \frac{\boldsymbol{F}}{W} \) is
A \( \cdot \tan \theta \)
B. \( \sec \theta \)
\( c \cdot \sin \theta \)
\( D \cdot \cos \theta \)
Subject: Physics
A hoop and a solid cylinder have the
same mass and radius. They both roll,
without slipping, on a horizontal
surface. If their kinetic energies are
equal, then:
A. the hoop has a greater translational speed than the cylinder
B. the cylinder has a greater translational speed than the hoop.
C. the hoop and the cylinder have the same translational speed.
D. the hoop has a greater rotational speed than the cylinder
Subject: Physics
A particle A with a mass \( m_{A} \) is moving
with a velocity v and hits a particle B of
mass \( m_{B} \) at rest. If motion is one
dimensional and take the collision is
elastic, then the change in the de Broglie wavelength of the particle A is
\( ^{\text {A }} \frac{h}{2 m_{A} v}\left[\frac{\left(m_{A}+m_{B}\right)}{\left(m_{A}-m_{B}\right)}-1\right] \)
в. \( \frac{h}{m_{A} v}\left[\frac{\left(m_{A}-m_{B}\right)}{\left(m_{A}+m_{B}\right)}-1\right] \)
c. \( \frac{h}{m_{A} v}\left[\frac{\left(m_{A}+m_{B}\right)}{\left(m_{A}-m_{B}\right)}-1\right] \)
D.
\[
\frac{2 h}{m_{A} v}\left[\frac{\left(m_{A}+m_{B}\right)}{\left(m_{A}-m_{B}\right)}+1\right]
\]
Subject: Chemistry
Acetic acid reacts with ethanol in the
presence of \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) to form \( \boldsymbol{X} \) and
water. Which of the following is \( X ? \)
A. \( C H_{3} C H_{2} C O O C_{2} H_{5} \)
в. \( C H_{3} \) СОСН\( _{3} \)
c. \( C H_{3} C O C_{2} H_{5} \)
D. \( C H_{3} C O O C_{2} H_{5} \)
Subject: Physics
At a given place on the earth's surface, the horizontal component of earth's
magnetic field is \( 3 \times 10^{-6} T \) and
resultant magnetic field is \( 6 \times 10^{-6} T \)
Angle of dip at this place is :
A . \( 30^{\circ} \)
B . \( 40^{\circ} \)
\( c \cdot 50^{\circ} \)
D. \( 60^{\circ} \)
Subject: Physics
The emf of a cell is \( \varepsilon \) and its internal
resistance is \( r . \) Its terminals are
connected to a resistance \( R \) The
potential difference between the
terminals is \( 1.6 V \) for \( R=4 \Omega, \) and \( 1.8 \mathrm{V} \)
for \( \boldsymbol{R}=\mathbf{9} \boldsymbol{\Omega} . \) Then
\( \mathbf{A} \cdot \varepsilon=1 V, r=1 \Omega \)
B. \( \varepsilon=2 V, r=1 \Omega \)
\( \mathbf{c} \cdot \varepsilon=2 V, r=2 \Omega \)
D. \( \varepsilon=2.5 V, r=0.5 \Omega \)
Subject: Physics
A horizontal rod of \( 0.200 \mathrm{m} \) long is mounted on a balance and carries a
current. At the location of the rod a
uniform horizontal magnetic field has magnitude \( 0.067 \mathrm{T} \) and direction perpendicular to the rod.The magnetic
force on the rod is measured by the balance and is found to be 0.13 N. The
current is \( 970 \times 10^{-x} \) A. Find \( x \)
Subject: Biology
Match the excretory functions with the
parts of the excretory system.choose the correct combination from among the
answers given.
List 1
1. Ultra filtration
a. Henle's loop
2. Concentration of
b. Ureter าe
3. Transport of urine
c. Urinary bladder
d. Malpighian
4. Storage of urine \( \quad \) corpuscle
A. \( 1-d, 2-a, 3-b, 4-c \)
B. \( 1-\mathrm{d}, 2-\mathrm{c}, 3-\mathrm{b}, 4-\mathrm{a} \)
c. \( 1-\mathrm{e}, 2-\mathrm{d}, 3-\mathrm{a}, 4-\mathrm{b} \)
D. \( 1-d, 2-a, 3-c, 4-b \)
Subject: Maths
Assertion
For the function \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{2}+\boldsymbol{3} \boldsymbol{x}+\boldsymbol{2} \)
\( \boldsymbol{L} M \boldsymbol{V} \boldsymbol{T} \) is applicable in \( [\mathbf{1}, \boldsymbol{2}] \) and the
value of \( c \) is \( \frac{3}{2} \)
Reason
If \( L M V T \) is known to be applicable for
any quadratic polynomial in \( [a, b], \) then \( c \) of \( L M V T \) is \( \frac{(a+b)}{2} \)
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: Maths
Area bounded by the curves satisfying the conditions \( \frac{x^{2}}{25}+\frac{y^{2}}{36} \leq 1 \leq \frac{x}{5}+\frac{y}{6} \)
is given by
A \( \cdot 15\left(\frac{\pi}{2}+1\right) \) sq.units
B. \( \frac{15}{4}\left(\frac{\pi}{2}-1\right) \) sq.units
c. \( 30(\pi-1) \) sq.unit
D. \( \frac{15}{2}(\pi-2) \) sq.unit
Subject: Maths
Find a vector of magnitude 5 units which is coplanar with vectors \( 3 \hat{i}-\hat{j}- \) \( \hat{\boldsymbol{k}} \) and \( \hat{\boldsymbol{i}}+\hat{\boldsymbol{j}}-2 \hat{\boldsymbol{k}} \) and is perpendicular
to the vector \( 2 \hat{i}+2 \hat{j}+\hat{k} \)
Subject: Maths
If \( ^{n} C_{r} \) denotes the number of
combinations of \( n \) things taken \( r \) at a
time, then the expression \( ^{n} C_{r+1}+^{n} \)
\( C_{r-1}+2 \times^{n} C_{r} \) equals
A. \( ^{n+2} C_{r} \)
B. \( ^{n+2} C_{r+1} \)
c. \( ^{n+1} C_{r} \)
D. \( n+1 C_{r+1} \)
Subject: Chemistry
Which one is the descending order of atomic radius of elements of third
period? \( N a(z=11), M g(z=12), A l(z=13) \)
and \( \boldsymbol{S} \boldsymbol{i}(\boldsymbol{z}=\mathbf{1 4}) \)
A. \( S i>A l>M g>N a \)
в. \( N a>M g>A l>S i \)
c. \( N a<M g<A l>S i \)
D. \( N a>A l>M g=S i \)
Subject: Maths
In the quadrilateral (2) given below, \( \boldsymbol{A B}\|\boldsymbol{D C}\| \boldsymbol{E G}, \) If \( \boldsymbol{E} \) is mid point of \( \boldsymbol{A} \boldsymbol{D} \)
respectively. Prove that
\( 2 E G=A B+C D \)
(2)
Subject: Chemistry
Assertion
Kerogen is converted into liquid and gaseous hydrocarbons via a process known as catagenesis.
Reason
Kerogen is a waxy material obtained from inorganic matter
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 conducting square loop of side \( L \) and
resistance \( R \) moves in its plane with a
uniform velocity \( v \) perpendicular to one
of its sides. A magnetic induction \( B \) constant in time and space, pointing perpendicular and into the plane of the loop exists everywhere, then the current induced in the loop is
88888888888
A. \( B L v / R \) clockwise
B. \( B L v / R \) anticlockwise
c. \( 2 B L v / R \) anticlockwise
D.
Subject: Maths
The angle between the lines \( k x+y+ \)
\( 9=0, y-3 x=4 \) is \( 45^{\circ}, \) then the value
of \( k \) is :
A. 2 only
B. 2 or \( -\frac{1}{2} \)
c. -2 only
D. -2 or \( -\frac{1}{2} \)
Subject: Chemistry
Enthalpy of polymerisation of ethylene, as represented by the reaction, \( \boldsymbol{n} \boldsymbol{C H}_{2}=\boldsymbol{C H}_{2} \rightarrow\left(-\boldsymbol{C H}_{2}-\boldsymbol{C H}_{2}-\right)_{n} \)
is -100kJ per mole of ethylene.Given bond enthalpy of \( C=C \) bond is \( 600 \mathrm{kJ} \)
\( m o l^{-1}, \) enthalpy of \( C-C \) bond (in
kJ mol) will be :
This question has multiple correct options
A . 2940 kcal mol-1
в. 350 kJ mol \( ^{-1} \)
c. 700 k \( \operatorname{mol}^{-1} \)
D. 1470 kcal mol-
Subject: Physics
Let \( A B C \) is a right angled triangle in which \( A B=3 \mathrm{cm} \) and \( \mathrm{BC}=4 \mathrm{cm} \) and
\( \angle A B C=90^{\circ} . \) The three charges +15,+12
and -20 esu are placed on A, B and C respectively. The force acting on B will be
A. zero
B. 25 dyne
c. 30 dyne
D. 150 dyne
Subject: Physics
A particle executing SHM is described
by the equation \( \boldsymbol{x}=\boldsymbol{A} \boldsymbol{e}^{\boldsymbol{\omega} t} \). Will this
particle describe SHM.
A. It dosen't execute SHM
B. It executes SHM only for the first time
c. It executes SHM from \( x=0 \) to \( x=A \)
D. It executes SHM from \( x=0 \) to \( x=-A \)
Subject: Chemistry
Identify the incorrect statements.
This question has multiple correct options
A. \( 1.6 \mathrm{g} \) of a hydrocarbon on combustion in excess of oxygen produces \( 1.2 \mathrm{g} \) of \( \mathrm{CO}_{2} \) and \( 0.4 \mathrm{g} \) of \( \mathrm{H}_{2} \mathrm{O} \). The data illustrates the law of conservation of mass.
B. The product of atomic mass and specific heat of any elements is a constant and is approximately 6.4 . This is known as Dulong Petit's law.
C. The atomic masses of the elements are usually fractional because they are mixtures of allotropes.
D. The best standard of atomic mass is hydrogen (1.008)
Subject: Chemistry
correct?
(i) When an animal hide, which has
negatively charged particles, is soaked in tannin, which contains positively
charged colloidal particles, mutual
coagulation does not take place.
(ii) Photographic films are prepared by coating an emulsion of the light sensitive silver bromide in gelatin over glass plates or celluloid films.
(iii) Latex is a colloidal solution of
rubber particles which are negatively
charged.
(iv) In Cottrell precipitator, the smoke, before it comes out from the chimney, is
led through a chamber containing
plates having a charge opposite to that carried by smoke particles. The
particles on coming in contact with
these plates acquire some charge and do not get precipitated.
A. (i) and (iv) only
B. (ii) and (iii) only
C. (ii), (iii) and (iv) only
D. All of these
Subject: Chemistry
Which of the following statements
regarding nitrogen sesquioxide is not
correct?
A. Nitrogen sesquioxide is stable only in the liquid state. It dissociated in the vapour phase
B. Dinitrogen sesquioxide is a neutral oxide
C. Dinitrogen sesquioxide contains a weak \( N-N \) bond
D. Dinitrogen sesquioxide exists in two different crystalline forms
Subject: Physics
Light of wavelength \( 5880 A^{\circ} \) is incidents
on a thin glass plate \( (\mu=1.5) \) such
that the angle of refraction in the plate is \( 60^{0} \). The minimum thickness of the
plate, so that it appears dark in the reflected light will be
A \( .3920 A^{\circ} \)
\( ^{\circ} \)
B. \( 4372 A^{\circ} \)
\( c .5840 A^{\circ} \)
D. \( 6312 A^{\circ} \)
Subject: Maths
From a well shuffled pack of 52 playing cards, four are drawn at random. The
probability that all are spades, but one is a king is:
\( ^{\mathrm{A}} \cdot \frac{39}{^{52} C_{4}} C_{4} \)
в. \( \frac{12}{52} C_{3} \)
\( ^{\mathrm{C}}-\frac{^{39} C_{4}}{^{52} C_{4}} \)
D. \( \frac{12}{52} C_{4} \)
Subject: Chemistry
Given are \( \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{2}, \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{3}, \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{4} \) and
\( \boldsymbol{H}_{4} \boldsymbol{P}_{2} \boldsymbol{O}_{7} \)
Which of the above oxoacids results
into two series of salts?
A \( . H_{3} P O_{2} \)
в. \( H_{3} P O_{3} \)
\( \mathrm{c} . H_{3} P O_{4} \)
D. \( H_{4} P_{2} O_{7} \)
Subject: Physics
A player caught a cricket ball of mass
\( 150 g \) moving with \( 20 \mathrm{ms}^{-1} . \) If the
catching process is complete in 0.1 sec This question has multiple correct options
A. Force exerted by the ball on the hand of player is \( 30 N \)
B. Force exerted by the ball on the hand of players is 40 N
c. Impulse of the ball is \( 3 N-S \)
D. Force exerted by the ball on the hand of players is 50 N
Subject: Maths
Find the sum of \( n \) terms of the series
\( 3+8+22+72+266+1036+\dots \)
A \( \cdot \frac{3 n}{4}+n(n+1)+\frac{1}{12}(4 n-1) \)
B . \( \frac{3 n}{4}+n(n+1)+\frac{1}{12}\left(4^{n-1}\right) \)
c. \( \frac{3 n}{4}+n(n+1)+\frac{1}{12}(4 n-2) \)
D. \( \frac{3 n}{4}+n(n+1)+\frac{1}{12}\left(4^{n-2}\right) \)
Subject: Physics
The magnetic flux in a closed circuit of resistance \( 10 \Omega \) varies with time as
\( \phi=\left(2 t-4 t^{2}+1\right) . \) The current in the
loop will change its direction after a time of
A . \( 0.25 \mathrm{sec} \)
B. 0.5 sec
c. 1 sec
D. none
Subject: Maths
Solve by matrix method \( \boldsymbol{x}+\mathbf{2} \boldsymbol{y}+\mathbf{3} \boldsymbol{z}= \)
\( \mathbf{2}, \mathbf{2} \boldsymbol{x}+\mathbf{3} \boldsymbol{y}+\boldsymbol{z}=-\mathbf{1}, \boldsymbol{x}-\boldsymbol{y}-\boldsymbol{z}=-\mathbf{2} \)
Subject: Chemistry
Conductivity of \( 2.5 \times 10^{-4} \) M methanoic
acid is \( 5.25 \times 10^{-5} S c m^{-1} . \) Calculate it
molar conductivity and degree of dissociation.
\( \left(\text { Given: } \boldsymbol{\lambda}^{0}\left(\boldsymbol{H}^{+}\right)=\right. \)
\( \mathbf{3 4 9 . 5 s} \mathrm{cm}^{2} \) mol \( ^{-1} \) and \( \lambda^{0}\left(\mathrm{HCOO}^{-}\right)= \)
\( \left.50.5 S c m^{2} m o l^{-1}\right) \)
Subject: Physics
A train is moving from south to north with a velocity of \( 90 \mathrm{km} / \mathrm{h} \). The vertical component of earth's
magnetic induction is \( 0.4 \times \) \( 10^{-4} W b / m^{2} . \) If the distance between
the two rails is \( 1 m, \) what is the induced
e.m.f. in its axle?
A. \( 1 m V \)
B. \( 0.1 m V \)
\( \mathrm{c} .10 \mathrm{mV} \)
D. \( 100 m V \)