11th Standard Physics English Medium All Chapter Book Back and Creative One Marks Questions 2020

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Questions:

Multiple Choice Question

44 x 1 = 44

The maximum displacement of a particle executing SHM is 1 cm and the maximum acceleration is (1.57)² cm/s². Its time period is __________.

(a)

0.25 s

(b)

4.0 s

(c)

1.57 s

(d)

3.14 s

On colliding with the walls in a closed container, the ideal gas molecules _______________

(a)

transfer momentum to the walls

(b)

lose momentum completely

(c)

move with smaller speeds

(d)

perform Brownian motion.

The temperature of an ideal gas is increased from 27°C to 927°C. The root mean square speed of its molecules becomes ________________.

(a)

3 times

(b)

double

(c)

4 times

(d)

6 times

Two metal rods A and B are having their initial lengths in the ratio 2 : 3, and coefficients of linear expansion in the ratio 3 : 4. When they are heated through same temperature difference, the ratio of their linear expansions is _______

(a)

1 : 2

(b)

2 : 3

(c)

3 : 4

(d)

4 : 3

When a fluid passes through the constricted part of a pipe, its _________.

(a)

velocity and pressure decrease

(b)

velocity and pressure increase

(c)

velocity decreases and pressure increases

(d)

velocity increases and pressure decreases

The breaking stress of a wire depends upon __________.

(a)

length of the wire

(b)

material of the wire

(c)

radius of the wire

(d)

shape of the cross-section

The period of Moon's rotation around the Earth is nearly 29 days. If Moon's mass were 2 fold its present value and all other things remained unchanged the period of Moon's rotation would be nearly _________ days.

(a)

29\(\sqrt{2}\)

(b)

\(\frac{29}{\sqrt{2}}\)

(c)

29 x 2

(d)

A liquid is contained in a vertical tube of semicircular cross section the contact angel is zero. The force of surface tension on the curved part & on the flat part are in ratio ______________.

(a)

1 : 1

(b)

1 : 2

(c)

\(\pi\) : 2

(d)

2 : \(\pi\)

The phase difference between the unstantaneous velocity & acceleration of a particle executing simple harmonic motion is ________________.

(a)

0.5 π

(b)

(c)

0.707π

(d)

0.61 m

10.

A process in which the temperature of working substance remains constant during its expansion or compression ____________________.

(a)

isothermal

(b)

adiabatic

(c)

isobaric

(d)

isochoric

11.

Length of a string tied to two rigid supports is 40 cm maximum length of a stationary wave produced on it is ___________.

(a)

(b)

(c)

(d)

120

12.

Speed of sound wave in air _____________.

(a)

Independent of temp

(b)

Increase with pressure

(c)

Increase with increase in humidity

(d)

Decreases with increase in humidity

13.

The work done by Sun on Earth at any finite interval of time is

(a)

Positive, negative or zero

(b)

Strictly positive

(c)

Strictly negative

(d)

It is always zero

14.

Which of the following options is correct?.

A	B
(1) Quality	(A) Intensity
(2) Pitch	(B) Waveform
(3) Loudness	(C) Frequency

Options for (1), (2) and (3), respectively are

(a)

(B), (C) and (A)

(b)

(C), (A) and (B)

(c)

(A), (B) and (C)

(d)

(B), (A) and (C)

15.

For a particular tube, among six harmonic frequencies below 1000 Hz, only four harmonic frequencies are given: 300 Hz, 600 Hz, 750 Hz and 900 Hz. What are the two other frequencies missing from this list?

(a)

100 Hz, 150 Hz

(b)

150 Hz, 450 Hz

(c)

450 Hz, 700 Hz

(d)

700 Hz, 800 Hz

16.

Two bodies A and B whose masses are in the ratio 1:2 are suspended from two separate massless springs of force constants k_A and k_B respectively. If the two bodies oscillate vertically such that their maximum velocities are in the ratio 1:2, the ratio of the amplitude A to that of B is

(a)

\(\sqrt { \frac { { K }_{ B } }{ { 2 }K_{ A } } } \)

(b)

\(\sqrt { \frac { { K }_{ B } }{ { 8 }K_{ A } } } \)

(c)

\(\sqrt { \frac { {2 K }_{ B } }{ { }K_{ A } } } \)

(d)

\(\sqrt { \frac { {8 K }_{ B } }{ { }K_{ A } } } \)

17.

The length of a second’s pendulum on the surface of the Earth is 0.9 m. The length of the same pendulum on surface of planet X such that the acceleration of the planet X is n times greater than the Earth is

(a)

0.9n

(b)

\(\frac{0.9}{n}\)m

(c)

0.9n²m

(d)

\(\frac{0.9}{n^2}\)

18.

Which of the following shows the correct relationship between the pressure and density of an ideal gas at constant temperature?

(a)

(b)

(c)

(d)

19.

A container has one mole of monoatomic ideal gas. Each molecule has f degrees of freedom. What is the ratio of \(\gamma =\frac { { C }_{ p } }{ { C }_{ V } } \)

(a)

(b)

\(\frac{f}{2}\)

(c)

\(\frac{f}{f+2}\)

(d)

\(\frac{f+2}{f}\)

20.

A hot cup of coffee is kept on the table. After some time it attains a thermal equilibrium with the surroundings. By considering the air molecules in the room as a thermodynamic system, which of the following is true

(a)

ΔU > 0, Q = 0

(b)

ΔU > 0, W < 0

(c)

ΔU > 0, Q > 0

(d)

ΔU = 0, Q > 0

21.

The graph between volume and temperature in Charles’ law is

(a)

an ellipse

(b)

a circle

(c)

a straight line

(d)

a parabola

22.

Two wires are made of the same material and have the same volume. The area of cross sections of the first and the second wires are A and 2A respectively. If the length of the first wire is increased by Δl on applying a force F, how much force is needed to stretch the second wire by the same amount?

(a)

2 F

(b)

4 F

(c)

8 F

(d)

16 F

23.

If a wire is stretched to double of its original length, then the strain in the wire is

(a)

(b)

(c)

(d)

24.

The linear momentum and position vector of the planet is perpendicular to each other at

(a)

perihelion and aphelion

(b)

at all points

(c)

only at perihelion

(d)

no point

25.

The unit of torque is _______________.

(a)

(b)

Nm^-2

(c)

(d)

Js^-1

26.

The radius of gyration of a solid sphere of radius r about a certain axis is r. The distance of that axis from the centre of the sphere is ___________.

(a)

\(\frac { 2 }{ 5 } \)r

(b)

\(\sqrt { \frac { 2 }{ 5 } } \)r

(c)

\(\sqrt { 0.6 } \)r

(d)

\(\sqrt { \frac { 5 }{ 3 } } \)r

27.

The displacement of the particle along a straight line at time t is given by X = a + bt + ct²where a, b, c are constants. The acceleration of the particle is ______________.

(a)

(b)

(c)

(d)

28.

If \(\vec A\) and \(\vec B\) are the sides of triangle, then area of triangle ____________.

(a)

\(\frac{1}{2}|\vec A.\vec B|\)

(b)

\(\frac{1}{2}|\vec A\times \vec B|\)

(c)

\(AB\sin\theta\)

(d)

\(AB\cos\theta\)

29.

Due to the action of internal forces of the system, the total linear momentum of the system is ____________.

(a)

a variable

(b)

a constant

(c)

always zero

(d)

always infinity

30.

1 kilowatt-hour is equivalent to _____________.

(a)

10^-7 J

(b)

1.6\(\times\)10^-19 J

(c)

4.186 J

(d)

3.6\(\times\)10^-6 J

31.

Unit of momentum _______________.

(a)

kg ms^-2

(b)

kg ms^-1

(c)

M L T^-2

(d)

M L T^-1

32.

The kinetic energy acquired by a mass m in travelling distance d, starting from rest, under the action of a constant force is directly proportional to _____________.

(a)

(b)

m⁰

(c)

\(\sqrt m\)

(d)

\(\frac{1}{\sqrt m}\)

33.

The dimension of a quantity \(hy \over c\) where h is the planck's constants, \(\gamma\) is the frequency and c is the velocity of light are _______________.

(a)

MT^-1

(b)

MLT^-1

(c)

MLT^-2

(d)

ML²T²

34.

Which of the following pairs of quantities and their units is a proper match?

(a)

Electric charge - C

(b)

Pressure - Pa

(c)

Power - JS^-1

(d)

Moment of inertia - Kg m^-2

35.

An engine pumps water continuously through a hose. Water leaves the hose with a velocity v and m is the mass per unit length of the water of the jet. What is the rate at which kinetic energy is imparted to water?

(a)

\({{1}\over{2}}{m}{v}^{2}\)

(b)

mv³

(c)

\({{1}\over{2}}{m}{v}^{3}\)

(d)

\({{1}\over{2}}{m}{v}^{2}\)

36.

A rigid body rotates with an angular momentum L. If its kinetic energy is halved, the angular momentum becomes,

(a)

(b)

L/2

(c)

(d)

L/\(\sqrt{2}\)

37.

A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force 30 N?

(a)

0.25 rad s^-2

(b)

25 rad s^-2

(c)

5 ms^-2

(d)

25 ms^-2

38.

A body of mass 1 kg is thrown upwards with a velocity 20 ms^-1. It momentarily comes to rest after attaining a height of 18 m. How much energy is lost due to air friction?(Take g = 10 ms^-2)

(a)

20 J

(b)

30 J

(c)

40 J

(d)

10 J

39.

Choose the correct statement from the following

(a)

Centrifugal and centripetal forces are action reaction pairs

(b)

Centripetal forces is a natural force

(c)

Centrifugal force arises from gravitational force

(d)

Centripetal force acts towards the center and centrifugal force appears to act away from the center in a circular motion.

40.

Two masses m₁ and m₂ are experiencing the same force where m₁ < m₂.The ratio of their acceleration \(\frac { { a }_{ 1 } }{ { a }_{ 2 } } \) is _____________.

(a)

(b)

less than 1

(c)

greater than 1

(d)

all the three cases

41.

If an object is thrown vertically up with the initial speed u from the ground, then the time taken by the object to return back to ground is

(a)

\(\frac{u^2}{2g}\)

(b)

\(\frac{u^2}{g}\)

(c)

\(\frac{u}{2g}\)

(d)

\(\frac{2u}{g}\)

42.

If a particle executes uniform circular motion, choose the correct statement

(a)

The velocity and speed are constant

(b)

The acceleration and speed are constant.

(c)

The velocity and acceleration are constant.

(d)

The speed and magnitude of acceleration are constant.

43.

Planck's constant (h), speed of light in vacuum (c) and Newton's gravitational constant (G) are taken as three fundamental constants. Which of the following combinations of these has the dimension of length?

(a)

\({{\sqrt{hG}}\over{{c}^{{{3}\over{2}}}}}\)

(b)

\({{\sqrt{hG}}\over{{c}^{{{5}\over{2}}}}}\)

(c)

\(\sqrt{{{hc}\over{G}}}\)

(d)

\(\sqrt{{{Gc}\over{{h}^{{{3}\over{2}}}}}}\)

44.

If the length and time period of an oscillating pendulum have errors of 1% and 3% respectively then the error in measurement of acceleration due to gravity is

(a)

(b)

(c)

(d)

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Answers Key:

Multiple Choice Question

44 x 1 = 44

(b)
4.0 s

(a)
transfer momentum to the walls

(b)
double

(a)
1 : 2

(d)
velocity increases and pressure decreases

(b)
material of the wire

(d)
29

(a)
0.5 π

10.

(a)
isothermal

11.

(b)
80

12.

13.

14.

(a)
(B), (C) and (A)

15.

\(\mathrm{f}_{\mathrm{o}}=150 \mathrm{~Hz}\)
\(\text { From the series of frequencies is }\)
\(f_{1} =2 f_{0} \)
\(f_{2} =3 f_{0} \)
\(=3 \times 150=450 \mathrm{~Hz} \)

16.

\(\mathrm{V}_{\mathrm{A}}: \mathrm{V}_{\mathrm{B}} =1: 2 \)
\(\mathrm{~A}_{\mathrm{A}}: \mathrm{A}_{\mathrm{B}} =\sqrt{k_{B}}: \sqrt{8 k_{A}} \)
\(=\sqrt{\frac{k_{B}}{8 k_{A}}} \)

17.

\(l =0.9 \)
\(\mathrm{~T} =2 \pi \frac{l}{g} \)
\(T^{\prime} =2 \pi \frac{l_{X}}{g_{X}} \)
\(\mathrm{~g} \mathrm{x} =\mathrm{ng} \)
\(\therefore \mathrm{x} =0.9 \mathrm{n} \)

18.

Pressure is directly proportional to density.

19.

\(\mathrm{V}=\frac{f}{2} R T \quad \mathrm{C}_{\mathrm{V}}=\frac{f}{2} R \)
\(\mathrm{C}_{\mathrm{P}}=\left(1+\frac{f}{2}\right) R \)
\(\gamma=\frac{C_{p}}{C_{v}}=1+\frac{2}{f} \)
\(=\frac{f+2}{f} \)

20.

During the thermal equilibrium with surroundings internal energy is increased and heat energy will be increased.
\(\Delta U>0 Q>0\)

21.

22.

\(\frac{F}{A}=Y \frac{\Delta l}{l} \quad F=Y \frac{\Delta l}{l} \times A\)
\(A_{1}=\mathrm{A} \quad \mathrm{A}_{2}=2 \mathrm{~A}\)
\(\therefore F \propto \Delta l \times A\)
\(\mathrm{F} \propto \Delta l_{1} A_{1}\)
\(\mathrm{F}_{1} \propto 2 \Delta l_{2} \times A_{2}\)
\(\frac{F}{F_{1}}=\frac{\Delta l A}{2 \Delta l \times 2 A}\)
\(\therefore F_{1}=4 \mathrm{~F}\)

23.

\(\text { Strain }=\frac{\text { Change in length }}{\text { Original length }}\)
\(=\frac{2 l-l}{l}=\frac{l}{l}=1\)

24.

(a)
perihelion and aphelion

25.

26.

27.

(d)
2c

28.

(b)
\(\frac{1}{2}|\vec A\times \vec B|\)

29.

30.

(a)
10^-7 J

31.

(b)
kg ms^-1

32.

(b)
m⁰

33.

(b)
MLT^-1

34.

(d)
Moment of inertia - Kg m^-2

35.

Mass per unit length = m
Velocity = v
(mass of water pumped in one second)
M = mv
\(\text { Kinetic energy }=\frac{1}{2} M v^{2}\)
\(=\frac{1}{2} m v^{3}\)

36.

\(K \cdot E=\frac{1}{2} I \omega^{2} ; \quad L=I \omega ; \quad K \cdot E=\frac{2^{2}}{2^{2}} \)
\(\therefore K \cdot E \alpha L^{2} \quad E_{1} \alpha L_{1}^{2} \quad E_{2} \alpha L_{2}^{2}\)
\(\frac{E_{1}}{E_{2}}=\left(\frac{L_{1}}{L_{2}}\right)^{2} \)
\(\text { Here } E_{1}=E \quad E_{2}=\frac{E}{2} \)
\(L_{1}=L \quad \quad L_{2}=? \)
\(\frac{E}{\frac{E}{2}}=\left(\frac{L}{L_{2}}\right)^{2} \)
\(\frac{2 E}{E}=\left(\frac{L}{L_{2}}\right)^{2}\left(\frac{L_{1}}{L_{2}}\right)^{2}=2 \)
\(\therefore \frac{L}{L_{2}}=\sqrt{2} \)
\(L_{2}=\frac{L}{\sqrt{2}} \)

37.

\(m=3 \mathrm{~kg} \quad r=40 \times 10^{-2} \mathrm{~m}=0.4 \mathrm{~m}\)
\(\text { Force }=30 N\)
Moment of inertia of a hollow-cylinder I= MR²
\(=3 \times\left(40 \times 10^{-2}\right)^{2} \)
\(=3 \times 0.4 \times 0.4=0.48 \mathrm{kgm}^{2} \)
\( F R =I \alpha \)
\(30 \times 40 \times 10^{-2}=0.48 d \)
\(d=\frac{12}{0.48}=\frac{1200}{48}=25 \mathrm{rad} \mathrm{s}^{-2} \)
\(\alpha=25 \mathrm{rad} \mathrm{s}^{-2} \)

38.

Mass = 1kg
Velocity v = 20m/s
Height h = 18 m
\(g=10 \mathrm{~m} / \mathrm{s}^{2}\)
\(\text { Potential energy } P . E=m g h\)
\(=1 \times 10 \times 18 =180 \mathrm{~J} \)
\(\text { Kinetic energy } K . E=\frac{1}{2} m v^{2}\)
\(K . E=\frac{1}{2} \times 1(20)^{2}\)
\(=\frac{1}{2} \times 20 \times 20=200 J\)
\(\text { Loss of energy due to air friction }= K.E - P.E\)
\(=200-180=20 \mathrm{~J}\)

39.

(d)
Centripetal force acts towards the center and centrifugal force appears to act away from the center in a circular motion.

40.

41.

\(\text {Time of flight }=\frac{2 u}{g}\)

42.

It is a uniform circular motion. So the direction of velocity changes but not the magnitude. Therefore speed in considered constant. Again magnitude of acceleration does not change.

43.

Dimension of Planck's constant is \(\left[\mathrm{ML}^{2} \mathrm{~T}^{-1}\right]\)
Dimension of Gravitational constant is \(\left[\mathrm{M}^{-1} \mathrm{~L}^{+3} \mathrm{~T}^{-1}\right]\)
Dimension of Velocity constant is LT^-1
Dimension of Length is L
\(\therefore \text { Dimension of } \frac{\sqrt{h G}}{C^{\frac{3}{2}}}\)
\(=\frac{\sqrt{\left(\mathrm{ML}^{2} \mathrm{~T}^{-1}\right)\left(\mathrm{M}^{-1} \mathrm{~L}^{3} \mathrm{~T}^{-2}\right)}}{\left(\mathrm{LT}^{-1}\right)^{3 / 2}} \)
\(=\frac{\sqrt{\mathrm{L}^{5} \mathrm{~T}^{-3}}}{\mathrm{~L}^{3 / 2} \mathrm{~T}^{-3 / 2}} \)
\(=\frac{\mathrm{L}^{5 / 2} \mathrm{~T}^{-3 / 2}}{\mathrm{~L}^{3 / 2} \mathrm{~T}^{-3 / 2}} \)
\(=\mathrm{L}^{5 / 2-3 / 2} \mathrm{~T}^{3 / 2+3 / 2}=\mathrm{L}^{1} \mathrm{~T}^{0}=\mathrm{L}\)
Dimension of length = L

44.

\(T =2 \pi \sqrt{\frac{l}{g}} \)
\(g =4 \pi^{2} l / T^{2} \)
\(\frac{d g}{g} =\frac{d l}{l}-\frac{2 d T}{T} \)
\(\frac{d g}{g} \% =\left(\frac{d l}{l}\right) \%-2\left(\frac{d T}{T}\right) \% \)
\(=1 \%-2 \times(-3 \%) \)
\(=1+6=7 \% \)