Q10 / 122 · NTA Abhyas (JEE Main) 2020 · Physics · Rotational Motion

The moment of inertia of a hollow cubical box of mass M and side length a, about an axis passing through centres of two opposite faces, is equal to xMa218. The value of x is

Correct answer: 5

Solution

Let m be the mass of each face of the cubical box.

I=2×ma26+4×ma212+ma22

=5ma23

But, m=M6

∴I=5Ma218

⇒x=5

Hence, the correct answer is 5.

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