A linear harmonic oscillator starts from rest at time t=0. After time t=2 seconds, it again comes to rest, at a dis"tan"ce of 2 cm. The amplitude and period of the harmonic oscillator are given by

Options

A. 2 cm, 2 seconds
B. 1 cm, 4 seconds
C. 2 cm, 4 seconds
D. 1 cm, 2 seconds

Answer

B

Explanation

The S.H.M. particle starts from rest, i.e. it is at the extreme position (A) at time t=0 and after t=2s, it again comes to rest at a dis"tan"ce of 2 cm (i.e. at B) so that the dis"tan"ce AB=2cm
`therefore` Amplitude =1 cm and period `=2xx2=4 s`