A body of mass m falls from a height h on a pan ( of negligible mass ) of spring balance as shwon. The spring is ideal and has a spring contant k. Just after striking the pan, the body sticks with the pan and starts oscillatory motion in vertical direction. The velocity of the body at mean position will be

Options

A. `sqrt( 2mg^(2) k +2gh ) `
B. `sqrt((k2gh)/(m))`
C. `sqrt((mg^(2))/( k ) + 2gh)`
D. `sqrt((mg^(2))/( k) + 4gh)`

Answer

C