In SHM match the following. Column-IColumn-II(A)Acceleration-displacement graph(I)parabola(B)Velocity- accelerationgraph(II)Sinusoidal(C)Acceleration-time graph(III)straight line(D)Potential energy-displacement graph(IV)straight line Choose the correct answer from the options given below.

In SHM match the following. C…

Physics Simple Harmonic Motion (Oscillations) Matching Type Question MCQ (Single Correct)

In SHM match the following.

Column-I	Column-II
(A)	Acceleration- displacement graph	(I)	parabola
(B)	Velocity- acceleration graph	(II)	Sinusoidal
(C)	Acceleration-time graph	(III)	straight line
(D)	Potential energy- displacement graph	(IV)	straight line

Choose the correct answer from the options given below.

A-III, B-II, C-I, D-IV

A-III, B-IV, C-II, D-I

A-I, B-III, C-II, D-IV

A-IV, B-II, C-I, D-IV

Text Solution

Verified by Experts

The correct answer is:

If is the acceleration, is angular frequency and is the displacement from mean position, then the relation between, , here is constant, so
graph is straight line passing through origin.
Now, velocity, , where is the amplitude of velocity.
Then,

So, graph is neither a straight line nor a parabola. According to above equations, the graph of acceleration and velocity-time graph are sine or cosine graphs.