A solid sphere of radius `R` made of a material of bulk modulus `B` is surrounded by a liquid in a cylindrical container. A massless piston of area `A` (the area of container is also `A`) floats on the surface of the liquid. When a mass `M` is placed on the piston to compress the liquid , fractional change in radius of the sphere is `(Mg)/(alpha AB)`. Find the value of `alpha`.

Options

A. `frac(ka)(mg)`
B. `frac(ka)(3mg)`
C. `frac(mg)(3ka)`
D. `frac(mg)(ka)`