Question

Gravitational potential at the centre of a solid sphere

Answer 1

Explanation:

GM/2R^3*(3R^2-r^2)

r is the distance from the centre of the sphere .then gravitational potention

Answer 2

Hey Aarzo! Thanks for putting your doubt.

We know by the formula for the gravitational potential inside a solid sphere that;

      Vp = GM/ 2R³ (r² - 3R²)

Since the for potential at the centre, the value of r turns out to be zero. Hence, putting the value of r as zero to obtain the gravitational potential as;

 

     Vp = GM/ 2R³ (0² - 3R²)

     Vp = GM/ 2R³ × 3R²)

     Vp = 3 GM R²/2R³

     Vp = 3 GM/ 2 R

Hence, the value of gravitational potential at the centre of a solid sphere is 3 GM/ 2 R.