From a disc of mass 2kg and radius 4m a small disc of radius 1 m with center O' is extracted . The new moment of inertia,about an axis passing through O perpendicular to plane of disc is

Options

A. `16 kg m^(2)`
B. `12 kg m^(2)`
C. `( 255)/( 16) kg m^(2)`
D. `( 247)/( 16) kg m^(2)`

Answer

D