Moment of inertia of a thin uniform rod about an axis passing through one end perpendicular to its length is I . Then moment of inertia the same rod about the central axis perpendicular to its plane is

Options

A. `I//4`
B. 2I
C. 4I
D. 3 I

Answer

A

Explanation

`I_(e )=I,I_(c )= ?`
`(I_(e ))/(I_(c ))=(mL^(2))/(3)xx(12)/(ml^(2))=4`
`I_(e )=4I_(c )`
`therefore I_(c )=I//4`.