A block of `0.5kg` is placed on a horizontal platform. The system is making vertical oscillations about a fixed point with a frequency of `0.5 Hz`. The maximum displacement of oscillation, if the block does not lose contact with the horizontal platform is nearly

Options

A. 0.5 m
B. 0.75 m
C. 1 m
D. 1.2 m

Answer

C

Explanation

`a_(max) lt g`
`omega^(2) A lt g`
`A lt (10)/((2pi (0.5))^(2)) = (10)/(pi^(2))1m`