Question

A thin spherical shell having uniform density is cut in two parts by a plane and kept separated as shown in figure (11−E3). The point A is the centre of the plane section of the first part and B is the centre of the plane section of the second part. Show that the gravitational field at A due to the first part is equal in magnitude to the gravitational field at B due to the second part.
Figure

Answer 1

The gravitation field at point A and B is equal and opposite. i.e. EA = EB

Explanation:

We know that the gravity is very small or zero in the center of a sphere. Therefore the thin spherical shell of uniform density has zero gravitational field at its internal point.  

At points A and B, the field is equal and opposite with respect to the points and thus cancel each other effect so the Net field is zero.

Hence, EA = EB

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