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JEE Main 2015 Physics question

PhysicsSystems of Particles and Rotational MotionJEE Main 2015

From a solid sphere of mass M and radius R, a cube of the maximum possible volume is cut. Moment of inertia of cube about an axis passing through its centre and perpendicular to one of its faces is:

Answer: (4)

Solution

The largest cube has its body diagonal equal to 2R, so its side is . Its mass is a^3\frac{M}Extra open brace or missing close brace{\frac$43π

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Question ID VK-115139