The moment of inertia of a thin uniform rod of mass `M` and length `L` about an axis passing through its mid-point and perpendicular to its length is`I_0`. Its moment of inertia about an axis passing through one of its ends perpendicular to its length is.

Options

A. `I_(0)+ML^(2)//2`
B. `(I_(0)+ML^(2)//4`
C. `I_(0)+2ML^(2)`
D. `I_(0)=ML^(2)`.

Answer

B

Explanation

From parallel axis theorem
`I_(AB)=I_(0)+M((L)/(2))^(2)`
`=I_(0)+(ML^(2))/(4)`