Question

The periodic time of a body executing simple harmonic motion is 4s. After how many intervals from time t=0, its displacement will be half of its amplitude?

(a) ^1⁄2 s

(b) 1/3 s

(c) ^1⁄4 s

(d) 1/6 s

I had been asked this question in an interview.

Origin of the question is Simple Harmonic Oscillation in division Oscillations of Engineering Physics I

Answer 1

Correct choice is (b) 1/3 s

The best explanation: t=1t/12=4/12=1/3 s.