A particle starts oscillating simple harmonically from its equilibrium position then, the ratio of kinetic energy and potential energy of the particle at the time `T//12` is: `(T="time period")`

Explanation

When `t= (T)/(12),` then `x= A sim (2pi)/(T) xx (T)/(12) = (A)/(2)`
So `K. E. = (1)/(2) K (A^2 - X^2)= (3)/(4) ((1)/(2) KA^2)`
`P. E. = (1)/(2) Kx^2 = (1)/(4) ((1)/(2) KA^2)`
`therefore (K. E. )/(P. E. ) = (3)/(1)`