Mass of 1 kg is distributed uniformly over a ring of radius 1m. Find the gravitational potential at a point lies on the axis of the ring at a distance of 1m from the centre.

Explanation

To find the gravitational potential at a point on the axis of a ring with a uniform mass distribution, we can use the formula for gravitational potential \( V \) at a distance \( r \) from the center of a ring of radius \( R \) with mass \( M \):

\[ V = -\frac{G M}{\sqrt{R^2 + r^2}} \]

Where:
- \( G \) is the gravitational constant, approximately \( 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2 \)
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