Question

The amplitude and the periodic time of an S.H.M are 5 cm and 6 s respectively. At a distance of 2.5 cm from the mean position, the phase will be: 

Options

• `π/6`

• `π/4` 

• `(5π)/12` 

• `π/3`

Answer 1

`π/6`

Explanation:

x = a sin ωt or 2.5 = 5 sin`(2π"t")/6`

∴ `(2π"t")/6 = π/6` or t = `1/2 "s"`

The phase difference corresponding to 6 s is 2π.

So, phase difference corresponding to `1/2 "s"`

is `(2π)/12`

i.e., 

`π/6`