A horizontal surface moves up and down in SHM with an amplitude of 1 cm. If a mass of 10 kg which is placed on the surface is remain continuously in contact with it the maximum frequency of SHM will be…………

Options

A. 5 Hz
B. `0.5 Hz`
C. `1.5 Hz`
D. `10 Hz`

Answer

A

Explanation

The mass will remain in contact with surface if `mg= m omega^(2)a`
`therefore w= 2pi f= sqrt((g)/(a))" "` (where, a= amplitude)
`therefore f= (1)/(2pi) sqrt((g)/(a))`
`therefore f= (1)/(2xx 3.14)sqrt((980)/(1))`
`therefore f= 4.98 Hz approx 5 Hz`.