A body of mass `m` is released from a height h to a scale pan hung from a spring. The spring constant of the spring is `k`, the mass of the scale pan is negligible and the body does not bounce relative to the pan, then the amplitude of vibration is

Options

A. `(mg)/(K)`
B. `(mg)/(K) sqrt((1+(2hK)/(mg)))`
C. `(mg)/(K)+(mg)/(K) sqrt((1+(2hK)/(mg)))`
D. `(mg)/(K)-(mg)/(K) sqrt((1+(2hK)/(mg)))`

Answer

B

Explanation

`F = kx_(0)` and conservation of energy