Question 11 Mark
Choose the correct alternative: The formula $-\text{G Mm}\Big(\frac{1}{\text{r}_2}-\frac{1}{\text{r}_1}\Big)$ is more/ less accurate than the formula mg(${\text{r}_2}$ - ${\text{r}_1}$) for the difference of potential energy between two points ${\text{r}_2}$ and ${\text{r}_1}$ distance away from the centre of the earth.
Answer
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$\text{M}=(\text{p})\times\frac{4}{3}\pi\text{R}^3$ Therefore, gravitational force between hollow shell and point mass is $\text{F}=\frac{\text{GMm}}{\text{r}^2}$ where M is the mass of the hollow spherical shell and m is the mass of point mass.Therefore, the mass is distributed on the surface of the sphere only, then F = 0 for $0<\text{r}<\text{R}$ (i.e., force inside the shell is zero)
