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Question (1)

QN0038473

The equation of SHM is , then its phase at time ' ' is

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

Correct Answer: C

Explanation:

phase at time,

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Question (2)

QN0038474

The displacement of a particle in simple harmonic motion in one time period is amplitude

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

Correct Answer: D

Explanation:

As seen from figure after one time period the bob return to its equilibrium position, so diplacement of the particle is zero, but distance covered by the particle in one time period is (where is amplitude of bob, when it does S.H.M.)

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Question (3)

QN0038475

The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is

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

Correct Answer: D

Explanation:

Let

Acceleration

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Question (4)

QN0038476

Which of the following is a simple harmonic motion?

(A)
Particle moving through a string fixed at both ends.
(B)
Wave moving through a string fixed at both ends.
(C)
Earth spinning about its axis.
(D)
Ball bouncing between two rigid vertical walls.

Correct Answer: B

Explanation:

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Question (5)

QN0038477

The displacement vs time of a particle executing SHM is shown in figure. The initial phase is

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

Correct Answer: A

Explanation:

For , we have

or .

So for .

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Question (6)

QN0038478

Two particles are executing simple harmonic motion of the same amplitude and frequency along the -axis. Their mean position is separated by distance . If the maximum separation between them is , the phase difference between their motion is

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

Correct Answer: A

Explanation:

Let and

The resultant motion can be treated as a simple harmonic motion with amplitude .

Given, maximum distance between the particles Amplitude of resultant S.H.M.

.

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Question (7)

QN0038479

Two simple harmonic motions are represented by the equations and . The phase difference of the velocity of particle 1 with respect to the velocity of particle 2 is

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

Correct Answer: B

Explanation:

Phase diff.

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Question (8)

QN0038480

Motion of a particle in plane is described by a set of following equations and . The path of particle will be-

(A)
circular
(B)
helical
(C)
parabolic
(D)
elliptical

Correct Answer: A

Explanation:

So, , which is equation of circle.

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Question (9)

QN0038481

If a particle takes to reach position of minimum velocity from previous such position, then

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

Correct Answer: D

Explanation:

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Question (10)

QN0038482

A simple harmonic motion has an amplitude and time period . The time required by it to travel from to is

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

Correct Answer: A

Explanation:

At extreme position

Now then

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Question (1)

The equation of SHM is , then its phase at time ' ' is

Explanation:

Link:

Question (2)

The displacement of a particle in simple harmonic motion in one time period is amplitude

Explanation:

Link:

Question (3)

The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is

Explanation:

Link:

Question (4)

Which of the following is a simple harmonic motion?

Explanation:

Link:

Question (5)

The displacement vs time of a particle executing SHM is shown in figure. The initial phase is

Explanation:

Link:

Question (6)

Two particles are executing simple harmonic motion of the same amplitude and frequency along the -axis. Their mean position is separated by distance . If the maximum separation between them is , the phase difference between their motion is

Explanation:

Link:

Question (7)

Two simple harmonic motions are represented by the equations and . The phase difference of the velocity of particle 1 with respect to the velocity of particle 2 is

Explanation:

Link:

Question (8)

Motion of a particle in plane is described by a set of following equations and . The path of particle will be-

Explanation:

Link:

Question (9)

If a particle takes to reach position of minimum velocity from previous such position, then

Explanation:

Link:

Question (10)

A simple harmonic motion has an amplitude and time period . The time required by it to travel from to is

Explanation:

Link:

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