A spherical hole is made in a solid sphere of radius R . The mass of the sphere before hollowing was M . The gravitational field at the centre of the hole due to the remaining mass is -

Question

A spherical hole is made in a solid sphere of radius R . The mass of the sphere before hollowing was M . The gravitational field at the centre of the hole due to the remaining mass is -, zero, G M 8 R 2, G M 2 R 2, G M R 2

MARKS App · Accepted Answer

By the principle of superposition of fields E → = E 1 → + E 2 → Here, E → = n e t f i e l d a t t h e c e n t r e o f h o l e d u e t o e n t i r e m a s s E 1 → = f i e l d d u e t o r e m a i n i n g m a s s and E 2 → = f i e l d d u e t o m a s s i n h o l e = 0 ∴ E 1 → = E → = G M R 3 . r where r = R 2 ∴ E → = G M 2 R 2

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