question_answer

Consider a thin uniform square sheet made of a rigid material. If its side is 'a', mass m and moment of inertia I about one of its diagonals, then : JEE Main Online Paper (Held On 10 April 2015)

A) \[I=\frac{m{{a}^{2}}}{12}\]                         

B) \[I>\frac{m{{a}^{2}}}{12}\]

C)  \[I=\frac{m{{a}^{2}}}{24}\]                        

D) \[\frac{m{{a}^{2}}}{24}<I<\frac{m{{a}^{2}}}{12}\]

Correct Answer: A

Solution :

                 Using perpendicular axis theorem. \[I=\frac{M{{a}^{2}}}{12}\]