Paragraph : A particle vibrates in S.H.M. along a straight line. Its velocity is 4 cm/s when its displacement is 3 cm and velocity is 3 cm/s when displacement is 4 cm.
If mass of body is 50 g the calculate the total energy of oscillation :

Options

A. `6.25xx10^(-5)` J
B. `6.25xx10^(-5)` ergs
C. `5.5xx10^(-5)` J
D. `5.5xx10^(-5)` ergs

Answer

A

Explanation

Energy of harmonic oscillator
`E=(1)/(2)m omega^(2)r^(2)`
`=(1)/(2)xx(50xx10^(-3))xx((2pi)/(2pi))^(2)xx(5xx10^(-2))^(2)`
`=6.25xx10^(-5)" J"`
So correct choice is (a).