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Question (11)

QN0038497

The ratio of maximum acceleration to maximum velocity in a simple harmonic motion is . At, the displacement is
. The initial phase is . What is the maximum acceleration?

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

Correct Answer: B

Explanation:

Maximum velocity in Maximum acceleration in SHM, where and are maximum amplitude and angular frequency.

Given that, i.e.,

Displacement is given by

at

Maximum acceleration

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Question (12)

QN0038498

The displacement of a particle in SHM is metre. When its displacement is , the velocity of the particle (in ) is

(A)
8
(B)
24
(C)
16
(D)
10

Correct Answer: C

Explanation:

Given,

and

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Question (13)

QN0038499

The amplitude of a particle executing SHM is . At the mean position the speed of the particle is . The distance of the particle from the mean position at which the speed of the particle
becomes , will be

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

Correct Answer: D

Explanation:

At mean position velocity is maximum

i.e.,

.

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Question (14)

QN0038500

If the maximum velocity and acceleration of a particle executing SHM are equal in magnitude, the
time period will be

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

Correct Answer: C

Explanation:

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Question (15)

QN0038501

The maximum velocity of a particle, executing simple harmonic motion with an amplitude , is . The period of oscillation is

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

Correct Answer: A

Explanation:

Maximum velocity,

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Question (16)

QN0038502

A body is executing S.H.M. When its displacement from the mean position are and , it has velocities and respectively. Its periodic time is

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

Correct Answer: B

Explanation:

Using we have

and ;

so or or

or .

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Question (17)

QN0038503

The displacement of an object attached to a spring and executing simple harmonic motion is given by metre.The time at which the maximum speed first occurs is

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

Correct Answer: B

Explanation:

Here,

Speed is given by

For the first time, the speed to be maximum,

or, or sec.

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Question (18)

QN0038504

A particle is executing SHM along a straight line. Its velocities at distances and from the mean position are and , respectively. Its time period is

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

Correct Answer: A

Explanation:

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Question (19)

QN0038505

The equation of a particle executing simple harmonic motion is given by . At , the speed of particle will be (Given : )

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

Correct Answer: B

Explanation:

At

So,

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Question (11)

The ratio of maximum acceleration to maximum velocity in a simple harmonic motion is . At, the displacement is. The initial phase is . What is the maximum acceleration?

Explanation:

Link:

Question (12)

The displacement of a particle in SHM is metre. When its displacement is , the velocity of the particle (in ) is

Explanation:

Link:

Question (13)

The amplitude of a particle executing SHM is . At the mean position the speed of the particle is . The distance of the particle from the mean position at which the speed of the particle becomes , will be

Explanation:

Link:

Question (14)

If the maximum velocity and acceleration of a particle executing SHM are equal in magnitude, the time period will be

Explanation:

Link:

Question (15)

The maximum velocity of a particle, executing simple harmonic motion with an amplitude , is . The period of oscillation is

Explanation:

Link:

Question (16)

A body is executing S.H.M. When its displacement from the mean position are and , it has velocities and respectively. Its periodic time is

Explanation:

Link:

Question (17)

The displacement of an object attached to a spring and executing simple harmonic motion is given by metre.The time at which the maximum speed first occurs is

Explanation:

Link:

Question (18)

A particle is executing SHM along a straight line. Its velocities at distances and from the mean position are and , respectively. Its time period is

Explanation:

Link:

Question (19)

The equation of a particle executing simple harmonic motion is given by . At , the speed of particle will be (Given : )

Explanation:

Link:

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The ratio of maximum acceleration to maximum velocity in a simple harmonic motion is . At, the displacement is
. The initial phase is . What is the maximum acceleration?

The amplitude of a particle executing SHM is . At the mean position the speed of the particle is . The distance of the particle from the mean position at which the speed of the particle
becomes , will be

If the maximum velocity and acceleration of a particle executing SHM are equal in magnitude, the
time period will be