Question

One application of this potential is in finding the escape velocity of a body from earth. As we know the gravitation potential energy associated with mass $m$ on earth surface is $−RGMm $. The

For most of the objects, either point masses or objects of finite dimension, the variation of potential in space exhibits symmetric behaviour. In case of spherical objects of uniform density, the locus of equipotential points is a spherical shell of any given radius. Hence, this potential field is symmetric about all three axes passing through the centre of spherical object. Consider a somewhat complicated objects as shown in the adjacent figure.

The figure shows a solid cube of edge length $10cm$. The origin is the centre of cube as shown. Eight spherical cavities are formed in this cube, each having a radius of $1cm$ and centers at $(±2cm,±2cm,±2cm$). This figure shows wide range of equipotential surfaces / curves.

In which of the following ways, will, potential vary from the centre to surface of any spherical cavity?

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Solution

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Correct option is D)

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