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In a solid sphere two small symmetrical ...

In a solid sphere two small symmetrical cavities are created whose centres lie on a diameter AB of sphere on opposite sides of the centre.

A

The gravitational field at the centre of the sphere is zero

B

The gravitational potential at the centre remains unaffected if cavitiesare not present

C

A circle at which all points have same potential is in the plane of diameter AB

D

A circle at which all points have some potential is in the plane perpendicular to the diameter AB

Text Solution

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The correct Answer is:
A, D
Due to symmetric mass distribution about centre the gravitational about centre the gravitational field at this point is equal to zero. And equipotential surface is `bot` r to the diameter AB
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