The equation of motion of a particle executing simple harmonic motion is `a+16pi^(2)x = 0` In this equation, a is the linear acceleration in `m//s^(2)` of the particle at a displacement x in meter. The time period in simple harmonic motion is

Options

A. `(3)/(2) sec`
B. `(1)/(2) sec`
C. `1 sec`
D. `2 sec`

Answer

B

Explanation

`a= -16 pi^(2)s`
Silander's rquation of `SHM` is
`a= - omega^(2)x`
Hence comparing two equation , we get `omega= 4 pi`
`and T = (2pi)/(omega) = (2pi)/(4 pi) = (1)/(2) sec`