JEE Main 2015 · 10 Apr · Shift 1 · Physics Q6

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PhysicsSingle correct+4 / -1Question 6 of 90

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 :

I>\dfrac{ma^2}{12}

\dfrac{ma^2}{24}<I<\dfrac{ma^2}{12}

I=\dfrac{ma^2}{12}

I=\dfrac{ma^2}{24}

Answer and worked solution

Official answer: C

By the perpendicular-axis theorem, $I_z=\frac{ma^2}6$ . By symmetry the moment of inertia about every in-plane axis through the centre is the same, so about a diagonal
$I=\frac{I_z}2=\frac{ma^2}{12}.$

Topics:Parallel and perpendicular axis theorems Moment of inertia

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JEE Main 2015 · 10 Apr · Shift 1, Physics question 6