JEE Main Physics question

PhysicsSystems of Particles and Rotational MotionJEE Main

A spherical hollow is made in a lead sphere of radius , such that its surface touches the outside surface of the lead sphere and passes through its centre. What is the shift in the centre of mass of the lead sphere as a result of this hollowing?

Answer: (B)

Solution

The hollow sphere has radius (diameter , from the outer surface to the centre), centred at from . Its mass is of the full sphere's mass

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Question ID VK-158669