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Question (1)

QN0038487

In SHM, the acceleration is directly proportional to

(A)
time
(B)
linear velocity
(C)
displacement
(D)
frequency

Correct Answer: C

Explanation:

Displacement,

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Question (2)

QN0038488

For a body executing simple harmonic motion, which parameter comes out to be non-periodic?

(A)
Displacement
(B)
Velocity
(C)
Acceleration
(D)
None of these

Correct Answer: D

Explanation:

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Question (3)

QN0038489

The displacement of a particle is given by . The motion of the particle is

(A)
simple harmonic
(B)
on a circle
(C)
on a straight line
(D)
with constant acceleration.

Correct Answer: C

Explanation:

The motion of particle is circular or elliptic, when two S.H.M. which are perpendicular to each other superimpose on the particle. The particle moves on a

(i) Ellipse if amplitudes of two S.H.M. are different

(ii) Circle, if amplitudes of two S.H.M. are same.

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Question (4)

QN0038490

Which of the following quantities are always negative in a simple harmonic motion?

(A)
.
(B)
.
(C)
.
(D)
Both (a) & (c)

Correct Answer: D

Explanation:

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Question (5)

QN0038491

The graph plotted between the velocity and displacement from mean position of a particle executing SHM is

(A)
circle
(B)
ellipse
(C)
parabola
(D)
straight line

Correct Answer: B

Explanation:

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Question (6)

QN0038492

The acceleration of a particle undergoing SHM is graphed in figure. At point 2 the velocity of the particle is

(A)
zero
(B)
negative
(C)
positive
(D)
None of these

Correct Answer: A

Explanation:

At point 2, the acceleration of the particle is maximum, which is at the extreme position. At extreme position, the velocity of the particle will be zero.

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Question (7)

QN0038493

A particle starts with S.H.M. from the mean position as shown in figure below. Its amplitude is and its time period is T. At one time, its speed is half that of the maximum speed. What is the displacement at that time?

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

Correct Answer: B

Explanation:

Given that .

so,

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Question (8)

QN0038494

A graph of the square of the velocity against the square of the acceleration of a given simple harmonic motion is

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

Correct Answer: D

Explanation:

and

From above equations, we have

It represents straight line with negative slope.

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Question (9)

QN0038495

A point mass oscillates along the -axis according to the law . If the acceleration of the particle is written as , then

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

Correct Answer: A

Explanation:

Here,

Velocity,

Acceleration,

Comparing the two equations, we get

and

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Question (10)

QN0038496

A body executing linear simple harmonic motion has a velocity of when its displacement is and a velocity of when its displacement is . What is the amplitude of oscillation?

(A)
(B)
(C)
10 cm
(D)

Correct Answer: A

Explanation:

Velocity in SHM is given by

At

Dividing (ii) by (i), we get a

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Question (1)

In SHM, the acceleration is directly proportional to

Explanation:

Link:

Question (2)

For a body executing simple harmonic motion, which parameter comes out to be non-periodic?

Explanation:

Link:

Question (3)

The displacement of a particle is given by . The motion of the particle is

Explanation:

Link:

Question (4)

Which of the following quantities are always negative in a simple harmonic motion?

Explanation:

Link:

Question (5)

The graph plotted between the velocity and displacement from mean position of a particle executing SHM is

Explanation:

Link:

Question (6)

The acceleration of a particle undergoing SHM is graphed in figure. At point 2 the velocity of the particle is

Explanation:

Link:

Question (7)

A particle starts with S.H.M. from the mean position as shown in figure below. Its amplitude is and its time period is T. At one time, its speed is half that of the maximum speed. What is the displacement at that time?

Explanation:

Link:

Question (8)

A graph of the square of the velocity against the square of the acceleration of a given simple harmonic motion is

Explanation:

Link:

Question (9)

A point mass oscillates along the -axis according to the law . If the acceleration of the particle is written as , then

Explanation:

Link:

Question (10)

A body executing linear simple harmonic motion has a velocity of when its displacement is and a velocity of when its displacement is . What is the amplitude of oscillation?

Explanation:

Link:

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