Consideration a thin uniform square sheet made of a rigid material. If its side is 'a', mass m and moment of inertia I about of its diagonals, then<p></p>

The Moment of inertia about axis passing through centre and perpendicular to plane of sheet is given as IA−A=ma26Using perpendicular axis theoremIY−Y+IZ−Z=IA−AIY−Y=IZ−Zfrom symmetry of square sheet2IY−Y=IA−A⇒IY−Y=IA−A2=ma212Hence correct answer is A

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Question:

Consideration a thin uniform square sheet made of a rigid material. If its side is 'a', mass m and moment of inertia I about of its diagonals, then

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