A particle performs SHM with a period `T` and amplitude a. The mean velocity of particle over the time interval during which it travels `a//2` from the extreme position is

Options

A. `(a)/(T)`
B. `(2a)/(T)`
C. `(3a)/(T)`
D. `(a)/(2T)`

Answer

C

Explanation

The magnitude of displacement in the given time intervel `= (a)/(2)`
Time taken by the particle is cover a distance `(a)/(2)`
staring from rest `= (T)/(6)`
Hence the magnitude of averagevelocity over given time intervel is `= (a//2)/(T//6) = (3pi)/(T)`
Hence the correct option is (c).