Moment of inertia of a uniform rod of length L and mass M , about an axis pasing through L/4 from one end and perpendicular to its length is

Options

A. `(7)/(36) ML^2`
B. `(7)/(48) ML^2`
C. `(11)/(48) ML^2`
D. `(ML^2)/(12)`

Answer

B

Explanation

Applying theorem of parallel axes ,
`I = I_(0) + M((L)/(4))^(2) = (ML^2)/(12) + (ML^2)/(16) = (7)/(48) ML^2`