Two pendulum start oscillation in the same direction at a same time from the same mean position time period are respectively `2 s` and `1.5s`. The phase difference between them, when the smaller pendulum is completed vibration, will be

Options

A. `(pi)/(4)`
B. `(2pi)/(3)`
C. `(pi)/(2)`
D. `(3pi)/(2)`

Answer

C

Explanation

`Deltaphi=omega_(2)t-omega_(1)t`
`=((2pi)/(T_(2))-(2pi)/(T_(1)))`
`=2pit((1)/(T_(2))-(1)/(T_(1)))`
`=2pixx1.5((1)/(1.5)-(1)/(2))=(pi)/(2)`