Question

A particle performs linear simple harmonic motion. If the displacement, acceleration and velocity of the particle are and respectively, which of the following graphs is /are correct

This question has multiple correct options
A

option
B

option
C

option
D

option
Medium
Updated on : 2022-09-05
Solution
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Correct options are A) and C)

Let the displacement of particle performing SHM is given by,
Differentiating w.r.t time,
Differentiating again w.r.t time,
Thus,
Now,  
Thus    vs   should be a straight line with negative slope  as represented by A.
Also, 
Thus,   which is an ellipse  as represented by C.

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