A square is made by joining four rods each of mass `M` and length `L`. Its moment of inertia about an axis PQ, in its plane and passing through one one of its corner is

Options

A. `6ML^(2)`
B. `(4)/(3)ML^(2)`
C. `(8)/(3) ML^(2)`
D. `(10)/(3)ML^(2)`

Answer

C

Explanation

By theorem of parallel axis, `I_(1)=I_(2)+(4M)r^(2)`
`=4[(ML^(2))/(3)sin^(2)45^(@)]+4M[(sqrt(2)L)/(2)]=(8)/(3)ML^(2)`