Question

The displacement time graph of a particle executing SHM is shown in figure. Which of the following statements is/are true?

• A. The velocity is maximum at t=T/2
• B. The acceleration is maximum at t=T
• C. The force is zero at t=3T/4
• D. The kinetic energy equals the total oscillation energy at t=T/2

Answer 1

Answer: (B), (C)

The correct options are
B The acceleration is maximum at t=T
C The force is zero at t=3T/4

Maximum velocity occurs at mean position (x=0).
Thus velocity is maximum at T/4 and 3T/4, not T/2.
Acceleration is maximum at extreme positions, thus at 0, T/2, T. Thus B is correct.
Force or acceleration is zero at mean position, i.e at T/4, 3T/4. Thus C is correct.
KE=TE when PE=0 which occurs at mean position.T/2 is extreme not mean, thus D is incorrect.