What happens to the energy of simple harmonic oscillator if its (i) amplitude is doubled ? (ii) time period is doubled? Give relevant equations.

What happens to the energy of simple harmonic oscillator if its (i) am

1.	What happens to the energy of simple harmonic oscillator if its (i) amplitude is doubled ? (ii) time period is doubled? Give relevant equations.
Answer» Solution :Energy of a simple oscillator`E = 1/2 m omega^2 A^2` (i) When amplitude is DOUBLED energy of simple harmonic oscillator INCREASES by four times. (ii) if time period T is doubled then ANGULAR VELOCITY `omega` is reduced to half `omega = (2pi)/(T)` So energy of simple harmonic oscillator decreases to `1/4` of initial value.