Four point masses, each of value m, are placed at the corners of a square ABCD of side l. The moment of inertia of this system about an axis passing through A and parallel to BD is

Options

A. `3 ml^(2)`
B. `ml^(2)`
C. `2ml^(2)`
D. `sqrt(3)ml^(2)`

Answer

A

Explanation

`AC = BD = sqrt(2)l`
`I_(BD) = m(AO)^(2) + m(CO)^(2) = ml^(2)`