A solid ball of mass `m` is made to fail from a height `H` on a pan suspended through a spring of spring constant `K` as shown in figure. If the does not rebound and the pan is massless, then amplitude of oscillation is

Options

A. `(mg)/(K)`
B. `(mg)/(k)(1 + (2HK)/(mg))^(1//2)`
C. `(mg)/(K)+((2HK)/(mg))^(1//2)`
D. `(mg)/(K)[1+(1+(2HK)/(mg))^(1//2)]`

Answer

B