Total energy of a particle executing S.H.M. is proportional to (MHT CET 2002, CPMT 74)

Square of the amplitude of the motion

Velocity in equilibrium position

Displacement form equilibrium position

The necessary and sufficient condition for S.H.M. is (NCERT 74)

Proportionality between restoring force and displacement from equilibrium position in opposite direction

Particle moves from extreme position to mean position, its (MHT-CET-2003)

Kinetic energy decreases, potential increases

Kinetic energy increases, potential increases decreases

Kinetic energy decreases, potential increases

Potential energy becomes zero and kinetic energy remains constant

The period of a simple pendulum is doubled when (CPMT 74)

The mass of the bob and the length of the pendulum are doubled.

If a hole is bored along the diameter of the earth and a stone is dropped into the hole (CPMT 84)

The stone reaches the other side of the earth and escapes into space

The stone reaches the centre of the earth and stops there

The stone reaches the other side of the earth and stops there

The stone executes simple harmonic motion about the centre of the earth

The stone reaches the other side of the earth and escapes into space

Two equal negative charges -q are fixed at point (0, a) and (0, -a) on the Y-axis A positive charge q is released from rest at point (2a, 0) on the X-axis. The charge Q will (IIT 83)

Execute simple harmonic motion about the origin

Move to the origin and remained at rest

Execute oscillatory motion but not simple harmonic motion

32 + Mcqs in Oscillations and Wave Motion in SRMJEEE Page 1 McqOptions

1.	If the length of second’s pendulum is increased by 2%, how may seconds it will lose per day? (CPMT 92)
A.	3427 sec
B.	3727 sec
C.	3927 sec
D.	864 sec
Answer» E.

Discussion

2.	A body in simple harmonic motion. Its time period is 24 sec. at mean position to 4 sec after its velocity is pm/sec. then find its path length. (MHT-CET-2008)
A.	48 m
B.	58 m
C.	68 m
D.	78 m
Answer» B. 58 m

Discussion

3.	A simple pendulum is made of a body which is a hollow sphere containing mercury suspended by means of a wire. If a little mercury is drained off, the period of pendulum will (NCERT 72)
A.	Remain unchanged
B.	Increase
C.	Decrease
D.	Become erratic
Answer» C. Decrease

Discussion

4.

In simple harmonic motion which statement is wrong.

(MHT-CET-2008)

A.

A body in S.H.M. its velocity maximum at mean position

B.

A body in S.H.M. its K.E. less at extreme position

C.

A body in S.H.M. its acceleration more at extreme position its directions away from mean position

D.

A body in S.H.M its acceleration less at mean position

Answer» D. A body in S.H.M its acceleration less at mean position

Discussion

5.	The length of a pendulum is halved. Its energy will (MH-CET-2002)
A.	Decreased to half
B.	Increased to 2 times
C.	Decreased to one fourth
D.	Increased to 4 times
Answer» C. Decreased to one fourth

Discussion

6.	Total energy of a particle executing S.H.M. is proportional to (MHT CET 2002, CPMT 74)
A.	Square of the amplitude of the motion
B.	Frequency of oscillation
C.	Velocity in equilibrium position
D.	Displacement form equilibrium position
Answer» B. Frequency of oscillation

Discussion

7.

The motion of a particle executing simple harmonic motion is given by X = 0.01 sin 100p (t + 0.05), where X is in metres ant t in second. The time period in second is (CPMT 90)

A.

0.001

B.

0.02

C.

0.1

D.

0.2

Answer» C. 0.1

Discussion

8.	The necessary and sufficient condition for S.H.M. is (NCERT 74)
A.	Constant period
B.	Constant acceleration
C.	Proportionality between restoring force and displacement from equilibrium position in opposite direction
D.	None of the above
Answer» D. None of the above

Discussion

9.	Particle moves from extreme position to mean position, its (MHT-CET-2003)
A.	Kinetic energy increases, potential increases decreases
B.	Kinetic energy decreases, potential increases
C.	Both remains constant
D.	Potential energy becomes zero and kinetic energy remains constant
Answer» B. Kinetic energy decreases, potential increases

Discussion

10.	The period of a simple pendulum is doubled when (CPMT 74)
A.	Its length is doubled
B.	The mass of the bob is doubled
C.	Its length is made four times
D.	The mass of the bob and the length of the pendulum are doubled.
Answer» D. The mass of the bob and the length of the pendulum are doubled.

Discussion

11.

The particle is performing S.H.M. along a straight line with amplitude ‘a’. the potential energy is maximum when the displacement is (CPMT 82)

A.

A

B.

a/2

C.

0

D.

a/4

Answer» B. a/2

Discussion

12.	Spring is pulled down by 2 cm. What is amplitude of motion? (MHT-CET-2003)
A.	0 cm
B.	6 cm
C.	2 cm
D.	4 cm
Answer» D. 4 cm

Discussion

13.

The period of oscillation of a simple pendulum of constant length at earths surface is T, it period inside a mine is (CPMT 73)

A.

Greater than T.

B.

Less than T.

C.

Equal to T.

D.

Cannot be compared

Answer» B. Less than T.

Discussion

14.

A linear harmonic oscillator of force constant 2 ´ 106 N/m and amplitude 0.01 m has a total mechanical energy of 100 J. it’s maximum potential energy is

(IIT 89)

A.

100 J

B.

200 J

C.

150 J

D.

0

Answer» B. 200 J

Discussion

15.

If the length of the simple pendulum is increased by 44%, then what is the change in time period of pendulum? (MHT-CET-2004)

A.

22%

B.

20%

C.

33%

D.

44%

Answer» C. 33%

Discussion

16.	Time period of simple pendulum of length l and a place where acceleration due to gravity is g is T. what is the period of a simple pendulum of the same length at a place where the acceleration due to gravity is 1.029 is, (CPMT 82)
A.	T
B.	1.02 T
C.	0.99 T
D.	1.01 T
Answer» D. 1.01 T

Discussion

17.

The work done by the tension in the string of a pendulum during one complete vibration is equal to

(NCERT 83)

A.

Potential energy of pendulum

B.

Total energy of pendulum

C.

Kinetic energy of pendulum

D.

Zero

Answer» E.

Discussion

18.

When a particle performing uniform circular motion of radius 10 cm undergoes the SHM, what will be its amplitude? (MHT-CET-2004)

A.

10 cm

B.

5 cm

C.

2.5 cm

D.

20 cm

Answer» B. 5 cm

Discussion

19.	If a hole is bored along the diameter of the earth and a stone is dropped into the hole (CPMT 84)
A.	The stone reaches the centre of the earth and stops there
B.	The stone reaches the other side of the earth and stops there
C.	The stone executes simple harmonic motion about the centre of the earth
D.	The stone reaches the other side of the earth and escapes into space
Answer» D. The stone reaches the other side of the earth and escapes into space

Discussion

20.	The kinetic energy of a particle executing S.H.M. is 16 J when it is at its mean position. If the mass of the particle is 0.32 kg, then what is the maximum velocity of the particle? (MHT-CET-2004)
A.	5 m/s
B.	15 m/s
C.	10 m/s
D.	20 m/s
Answer» D. 20 m/s

Discussion

21.	Two equal negative charges -q are fixed at point (0, a) and (0, -a) on the Y-axis A positive charge q is released from rest at point (2a, 0) on the X-axis. The charge Q will (IIT 83)
A.	Execute simple harmonic motion about the origin
B.	Move to the origin and remained at rest
C.	Move to infinity
D.	Execute oscillatory motion but not simple harmonic motion
Answer» E.

Discussion

22.	The shape of l - T graph of simple pendulum is, (CPMT-92)
A.	Curve
B.	Parabola
C.	Straight line
D.	Hyperbola
Answer» C. Straight line

Discussion

23.	For a magnet of time period T magnetic moment is M, if the magnetic moment becomes one fourth of the initial value, then the time period of oscillation becomes. (MHT CET 2006)
A.	Half of initial value
B.	One fourth of initial value
C.	Double of initial value
D.	Four time initial value
Answer» D. Four time initial value

Discussion

24.	The frequency of wave is 0.002 Hz. Its time period is (MHT-CET-2004)
A.	100 s
B.	500 s
C.	5000 s
D.	50 s
Answer» C. 5000 s

Discussion

25.	A particle executing a vibratory motion while passing through the mean position has (CPMT 92)
A.	Maximum P.E. and minimum K.E.
B.	Maximum K.E. and minimum P.E.
C.	P.E. and K.E. both maximum
D.	P.E. and K.E. both minimum
Answer» C. P.E. and K.E. both maximum

Discussion

26.	A pendulum suspended from the roof of a train has a period T (When the train is at rest). When the train is accelerating with a uniform acceleration ‘a’, the time period of the pendulum will (NCERT 80)
A.	Increase
B.	Decrease
C.	Remain unaffected
D.	Become infinite
Answer» C. Remain unaffected

Discussion

27.	At a place where g = 980 cm/sec². the length of seconds pendulum is about
A.	50 cm
B.	100 cm
C.	2 cm
D.	2 m
Answer» C. 2 cm

Discussion

28.	A particle of mass m is hanging vertically by an ideal spring of force constant K. if the mass is made to oscillate vertically, its total energy is (CPMT 78)
A.	Maximum at extreme position
B.	Maximum at mean position
C.	Minimum at mean position
D.	Same at all positions
Answer» E.

Discussion

29.	A simple pendulum of length l and mass (bob) m is suspended vertically. The string makes an angle q with the vertical. The restoring force acting on the pendulum, is (MHT-CET-2005)
A.	mg tan q
B.	mg sin q
C.	- mg sin q
D.	- mg cos q
Answer» D. - mg cos q

Discussion

30.	A particle executes S.H.M. of amplitude A. at what distance from mean position its kinetic energy is equal to its potential energy? (MHT-CET 99)
A.	0.51 A
B.	0.61 A
C.	0.71 A
D.	0.81 A
Answer» D. 0.81 A

Discussion

31.

The displacement of particle performing simple harmonic motion is given by, x = 8 sin wt + 6 cos wt, where distance is in cm and time is in second. The amplitude of motion is (MHT-CET-2005)

A.

10 cm

B.

14 cm

C.

2 cm

D.

3.5 cm

Answer» B. 14 cm

Discussion

32.	The length of second’s pendulum on the surface of earth is 1 m. the length of same pendulum on the surface of moon, where acceleration due to gravity is (1/6)th of the g on the surface of earth is (NCERT 71)
A.	36 m
B.	1 m
C.	1/36
D.	1/6 m
Answer» E.

Discussion

Explore topic-wise MCQs in SRMJEEE .

If the length of second’s pendulum is increased by 2%, how may seconds it will lose per day? (CPMT 92)

A body in simple harmonic motion. Its time period is 24 sec. at mean position to 4 sec after its velocity is pm/sec. then find its path length. (MHT-CET-2008)

A simple pendulum is made of a body which is a hollow sphere containing mercury suspended by means of a wire. If a little mercury is drained off, the period of pendulum will (NCERT 72)

In simple harmonic motion which statement is wrong.

(MHT-CET-2008)

The length of a pendulum is halved. Its energy will (MH-CET-2002)

Total energy of a particle executing S.H.M. is proportional to (MHT CET 2002, CPMT 74)

The motion of a particle executing simple harmonic motion is given by X = 0.01 sin 100p (t + 0.05), where X is in metres ant t in second. The time period in second is (CPMT 90)

The necessary and sufficient condition for S.H.M. is

(NCERT 74)

Particle moves from extreme position to mean position, its (MHT-CET-2003)

The period of a simple pendulum is doubled when

(CPMT 74)

The particle is performing S.H.M. along a straight line with amplitude ‘a’. the potential energy is maximum when the displacement is (CPMT 82)

Spring is pulled down by 2 cm. What is amplitude of motion? (MHT-CET-2003)

The period of oscillation of a simple pendulum of constant length at earths surface is T, it period inside a mine is (CPMT 73)

A linear harmonic oscillator of force constant 2 ´ 106 N/m and amplitude 0.01 m has a total mechanical energy of 100 J. it’s maximum potential energy is

(IIT 89)

If the length of the simple pendulum is increased by 44%, then what is the change in time period of pendulum? (MHT-CET-2004)

Time period of simple pendulum of length l and a place where acceleration due to gravity is g is T. what is the period of a simple pendulum of the same length at a place where the acceleration due to gravity is 1.029 is,

(CPMT 82)

The work done by the tension in the string of a pendulum during one complete vibration is equal to

(NCERT 83)

When a particle performing uniform circular motion of radius 10 cm undergoes the SHM, what will be its amplitude? (MHT-CET-2004)

If a hole is bored along the diameter of the earth and a stone is dropped into the hole (CPMT 84)

The kinetic energy of a particle executing S.H.M. is 16 J when it is at its mean position. If the mass of the particle is 0.32 kg, then what is the maximum velocity of the particle? (MHT-CET-2004)

Two equal negative charges -q are fixed at point (0, a) and (0, -a) on the Y-axis A positive charge q is released from rest at point (2a, 0) on the X-axis. The charge Q will (IIT 83)

The shape of l - T graph of simple pendulum is,

(CPMT-92)

For a magnet of time period T magnetic moment is M, if the magnetic moment becomes one fourth of the initial value, then the time period of oscillation becomes.

(MHT CET 2006)

The frequency of wave is 0.002 Hz. Its time period is (MHT-CET-2004)

A particle executing a vibratory motion while passing through the mean position has (CPMT 92)

A pendulum suspended from the roof of a train has a period T (When the train is at rest). When the train is accelerating with a uniform acceleration ‘a’, the time period of the pendulum will (NCERT 80)

At a place where g = 980 cm/sec². the length of seconds pendulum is about

A particle of mass m is hanging vertically by an ideal spring of force constant K. if the mass is made to oscillate vertically, its total energy is (CPMT 78)

A simple pendulum of length l and mass (bob) m is suspended vertically. The string makes an angle q with the vertical. The restoring force acting on the pendulum, is (MHT-CET-2005)

A particle executes S.H.M. of amplitude A. at what distance from mean position its kinetic energy is equal to its potential energy? (MHT-CET 99)

The displacement of particle performing simple harmonic motion is given by, x = 8 sin wt + 6 cos wt, where distance is in cm and time is in second. The amplitude of motion is (MHT-CET-2005)

The length of second’s pendulum on the surface of earth is 1 m. the length of same pendulum on the surface of moon, where acceleration due to gravity is (1/6)th of the g on the surface of earth is (NCERT 71)

Explore topic-wise MCQs in SRMJEEE .

If the length of second’s pendulum is increased by 2%, how may seconds it will lose per day? (CPMT 92)

A body in simple harmonic motion. Its time period is 24 sec. at mean position to 4 sec after its velocity is pm/sec. then find its path length. (MHT-CET-2008)

A simple pendulum is made of a body which is a hollow sphere containing mercury suspended by means of a wire. If a little mercury is drained off, the period of pendulum will (NCERT 72)

In simple harmonic motion which statement is wrong. (MHT-CET-2008)

The length of a pendulum is halved. Its energy will (MH-CET-2002)

Total energy of a particle executing S.H.M. is proportional to (MHT CET 2002, CPMT 74)

The motion of a particle executing simple harmonic motion is given by X = 0.01 sin 100p (t + 0.05), where X is in metres ant t in second. The time period in second is (CPMT 90)

The necessary and sufficient condition for S.H.M. is (NCERT 74)

Particle moves from extreme position to mean position, its (MHT-CET-2003)

The period of a simple pendulum is doubled when (CPMT 74)

The particle is performing S.H.M. along a straight line with amplitude ‘a’. the potential energy is maximum when the displacement is (CPMT 82)

Spring is pulled down by 2 cm. What is amplitude of motion? (MHT-CET-2003)

The period of oscillation of a simple pendulum of constant length at earths surface is T, it period inside a mine is (CPMT 73)

A linear harmonic oscillator of force constant 2 ´ 106 N/m and amplitude 0.01 m has a total mechanical energy of 100 J. it’s maximum potential energy is (IIT 89)

If the length of the simple pendulum is increased by 44%, then what is the change in time period of pendulum? (MHT-CET-2004)

Time period of simple pendulum of length l and a place where acceleration due to gravity is g is T. what is the period of a simple pendulum of the same length at a place where the acceleration due to gravity is 1.029 is, (CPMT 82)

The work done by the tension in the string of a pendulum during one complete vibration is equal to (NCERT 83)

When a particle performing uniform circular motion of radius 10 cm undergoes the SHM, what will be its amplitude? (MHT-CET-2004)

If a hole is bored along the diameter of the earth and a stone is dropped into the hole (CPMT 84)

The kinetic energy of a particle executing S.H.M. is 16 J when it is at its mean position. If the mass of the particle is 0.32 kg, then what is the maximum velocity of the particle? (MHT-CET-2004)

Two equal negative charges -q are fixed at point (0, a) and (0, -a) on the Y-axis A positive charge q is released from rest at point (2a, 0) on the X-axis. The charge Q will (IIT 83)

The shape of l - T graph of simple pendulum is, (CPMT-92)

For a magnet of time period T magnetic moment is M, if the magnetic moment becomes one fourth of the initial value, then the time period of oscillation becomes. (MHT CET 2006)

The frequency of wave is 0.002 Hz. Its time period is (MHT-CET-2004)

A particle executing a vibratory motion while passing through the mean position has (CPMT 92)

A pendulum suspended from the roof of a train has a period T (When the train is at rest). When the train is accelerating with a uniform acceleration ‘a’, the time period of the pendulum will (NCERT 80)

At a place where g = 980 cm/sec2. the length of seconds pendulum is about

A particle of mass m is hanging vertically by an ideal spring of force constant K. if the mass is made to oscillate vertically, its total energy is (CPMT 78)

A simple pendulum of length l and mass (bob) m is suspended vertically. The string makes an angle q with the vertical. The restoring force acting on the pendulum, is (MHT-CET-2005)

A particle executes S.H.M. of amplitude A. at what distance from mean position its kinetic energy is equal to its potential energy? (MHT-CET 99)

The displacement of particle performing simple harmonic motion is given by, x = 8 sin wt + 6 cos wt, where distance is in cm and time is in second. The amplitude of motion is (MHT-CET-2005)

The length of second’s pendulum on the surface of earth is 1 m. the length of same pendulum on the surface of moon, where acceleration due to gravity is (1/6)th of the g on the surface of earth is (NCERT 71)

In simple harmonic motion which statement is wrong.

(MHT-CET-2008)

The necessary and sufficient condition for S.H.M. is

(NCERT 74)

The period of a simple pendulum is doubled when

(CPMT 74)

A linear harmonic oscillator of force constant 2 ´ 106 N/m and amplitude 0.01 m has a total mechanical energy of 100 J. it’s maximum potential energy is

(IIT 89)

Time period of simple pendulum of length l and a place where acceleration due to gravity is g is T. what is the period of a simple pendulum of the same length at a place where the acceleration due to gravity is 1.029 is,

(CPMT 82)

The work done by the tension in the string of a pendulum during one complete vibration is equal to

(NCERT 83)

The shape of l - T graph of simple pendulum is,

(CPMT-92)

For a magnet of time period T magnetic moment is M, if the magnetic moment becomes one fourth of the initial value, then the time period of oscillation becomes.

(MHT CET 2006)

At a place where g = 980 cm/sec². the length of seconds pendulum is about