A linear harmonic oscillator of force constant `10^(6) N//m` and amplitude 2 cm has

Options

A. a maximum P.E. of 100 Joule
B. a maximum K.E. of 150 Jule
C. a total energy of 200 J
D. a total energy of 300 J

Answer

C

Explanation

Total energy of the harmonic oscillator is
`E=(1)/(2)KA^(2)=(1)/(2)xx10^(6)xx(2xx10^(-2))^(2)`
`=(1)/(2)xx10^(6)xx4xx10^(-4)=200 J`
`therefore` (a), (b) and (d) cannot be the correct options.