A simple harmonic oscillation has an amplitude `A` and time period `T`. The time required to travel from `x = A` to ` x= (A)/(2)` is

Options

A. T/6
B. T/4
C. T/3
D. T/2

Answer

A

Explanation

Time required to travel from x=A to x=0 is T/4 & time required to travel from x=A/2 to x=0 is equal to the time required to travel from x= 0 to x = A/2 which is obtained from
`y = A sin (2pi //T)t`
`A//2 = A sin (2pi//T)t`
`rArr sin (pi//6) = sin (2pi//T)t`
`rArr t = T//12`
`rArr` Time required to travel from x = A to x = A/2 will be `T//4 - T//12 = T//6`
Hence (A) is correct.