A horizontal platform with a small object placed on it executes a linear SHM in the vertical direction. The amplitude of oscillation is 40 cm. What should be the least period of these oscillation, so that the object is not detached from the platform ? [ Use `g=10 m//s^(2)]`

Options

A. `0.2 pi s`
B. `0.3 pi s`
C. `0.4 pi s`
D. `0.5 pi s`

Answer

C

Explanation

For maximum acceleration `m omega^(2)A=mg`
`therefore omega =sqrt((g)/(A)) therefore T=2pi sqrt((A)/(g))`
`therefore T=2pi sqrt((40xx10^(-2))/(10))=0.4 pi sec`