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  3. How Gravitational Potential due to uniform solid sphere of radius R varies with the distance r from its center (For r< R) ??
# Engineering

How Gravitational Potential due to uniform solid sphere of radius R varies with the distance r from its center (For r< R) ??

Answers (1)
A avinash.dongre

As shown in the below figure

If Gravitational Potential due to uniform solid sphere= V

Then  For Inside surface  I.e  for  r<R

        V=-\frac{GM}{2R}\left[3-\left ( \frac{r}{R} \right )^{2}\right]

R\rightarrow Radius of shell

r\rightarrow Position of Pt.

M\rightarrow Mass of Solid sphere

 

 

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