The potential energy of a simple harmonic oscillator of mass 2 kg in its mean position is 5 J. If its total energy is 9 J and its amplitude is 0.01 m, its time period would be

Explanation

`KE_(max) = TE - PE_(min) rArr (1)/(2)KA^(2) = (9-5) = 4J`,
`K = (8)/((0.1)^(2)) = 8 xx 10^(-4) N//m`
`T = 2•sqrt((m)/(K)) = 2• sqrt((2)/(8xx10^(4))) = (•)/(100) s`