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Question (1)

QN0038506

A particle of mass is moving in S.H.M. with an amplitude 0.02 and a frequency of . The maximum force acting on the particle is

(A)
(B)
(C)
(D)
None of these

Correct Answer: C

Explanation:

Max. force mass max. acceleration

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Question (2)

QN0038507

The point moves with a uniform speed along the circumference of a circle of radius and covers in . The perpendicular projection ' ' from ' ' on the diameter represents the simple harmonic motion of ' '. The restoration force per unit mass when touches will be

(A)
(B)
(C)
(D)

Correct Answer: A

Explanation:

Restoration force,

Point covers in

covered in or

Restoration force per unit mass,

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Question (3)

QN0038508

A child swinging on swing in sitting position stands up. The time period of the swing will

(A)
increase
(B)
decrease
(C)
remain same
(D)
increase if the child is tall and decrease if the child is short.

Correct Answer: B

Explanation:

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Question (4)

QN0038509

A spring-mass system oscillates with a frequency . If it is taken in an elevator slowly accelerating upward, the frequency will

(A)
increase
(B)
remain same
(C)
decrease
(D)
become zero

Correct Answer: C

Explanation:

For spring mass system, the time period of the oscillation of mas is defined as

where mass of particle

spring constant

extension in spring

natural length of spring

If is changed, then also changes so that is constant; so the time period of spring mass is independent from

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Question (5)

QN0038510

Select the correct statement(s) from the following
I. Motion of a satellite and a planet is periodic as well as SHM.
II. Mass suspended by a spring executes SHM.
III. Motion of a simple pendulum is always SHM.

(A)
I only
(B)
II only
(C)
I and II
(D)
I, II and III

Correct Answer: B

Explanation:

the variation in . Hence .(frequency) will also not change.

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Question (6)

QN0038511

Frequency of oscillation is proportional to

(A)
(B)
(C)
(D)

Correct Answer: A

Explanation:

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Question (7)

QN0038512

If two similar springs each of spring constant are joined in series, the new spring constant and time period would be changed by a factor:

(A)
(B)
(C)
(D)

Correct Answer: C

Explanation:

In series combination, equal forces acts on spring but extension in springs are different. Spring constant of combination,

Initial time period,

New time period,

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Question (8)

QN0038513

In the given figure, a body of mass is held between two massless springs, on a smooth inclined plane. The free ends ' of the springs are attached to firm supports. If each spring has spring constant , the frequency of oscillation of given body is :

(A)
(B)
(C)
(D)

Correct Answer: C

Explanation:

The two springs are in parallel, so the effective spring constant is

The period of oscillation,

Frequency of oscillation,

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Question (9)

QN0038514

On earth, a body suspended on a spring of negligible mass causes extension and undergoes oscillations along length of the spring with frequency . On the Moon, the same quantities are and respectively. The ratio is

(A)
(B)
(C)
(D)
1

Correct Answer: D

Explanation:

Oscillations along spring length are independent of gravitation.

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Question (10)

QN0038515

Masses and hanging from the ends of strings of lengths and are executing simple harmonic motions. If their frequencies are , then

(A)
and
(B)
regardless of masses
(C)
regardless of masses
(D)
and

Correct Answer: C

Explanation:

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Question (1)

A particle of mass is moving in S.H.M. with an amplitude 0.02 and a frequency of . The maximum force acting on the particle is

Explanation:

Link:

Question (2)

The point moves with a uniform speed along the circumference of a circle of radius and covers in . The perpendicular projection ' ' from ' ' on the diameter represents the simple harmonic motion of ' '. The restoration force per unit mass when touches will be

Explanation:

Link:

Question (3)

A child swinging on swing in sitting position stands up. The time period of the swing will

Explanation:

Link:

Question (4)

A spring-mass system oscillates with a frequency . If it is taken in an elevator slowly accelerating upward, the frequency will

Explanation:

Link:

Question (5)

Select the correct statement(s) from the following I. Motion of a satellite and a planet is periodic as well as SHM.II. Mass suspended by a spring executes SHM.III. Motion of a simple pendulum is always SHM.

Explanation:

Link:

Question (6)

Frequency of oscillation is proportional to

Explanation:

Link:

Question (7)

If two similar springs each of spring constant are joined in series, the new spring constant and time period would be changed by a factor:

Explanation:

Link:

Question (8)

In the given figure, a body of mass is held between two massless springs, on a smooth inclined plane. The free ends ' of the springs are attached to firm supports. If each spring has spring constant , the frequency of oscillation of given body is :

Explanation:

Link:

Question (9)

On earth, a body suspended on a spring of negligible mass causes extension and undergoes oscillations along length of the spring with frequency . On the Moon, the same quantities are and respectively. The ratio is

Explanation:

Link:

Question (10)

Masses and hanging from the ends of strings of lengths and are executing simple harmonic motions. If their frequencies are , then

Explanation:

Link:

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Select the correct statement(s) from the following
I. Motion of a satellite and a planet is periodic as well as SHM.
II. Mass suspended by a spring executes SHM.
III. Motion of a simple pendulum is always SHM.