Ratio of kinetic energy to potential energy of an oscillator when it is at distance `1//N` times of amplitude from mean positions in

Options

A. `N^(2) + 1`
B. `N^(2)`
C. `(1)/(N^(2))`
D. `N^(2) - 1`

Answer

D

Explanation

`(K)/(U) = ((1)/(2) m omega^(2) (A^(2) - x^(2)))/((1)/(2) m omega^(2) x^(2)) = (A^(2) - ((A)/(N))^(2))/(((A)/(N))^(2)) = N^(2) - 1`