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…………

A horizontal surface moves up and down in SHM with an amplitude of 1 c

1.	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…………
Answer» 5 Hz `0.5 Hz` `1.5 Hz` `10 Hz` Solution :The mass will remain in contact with surface if `mg= m omega^(2)a` `thereforew= 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`.