The gravitational force between a hollow spherical shell (of radius R and uniform density) and a point mass is F. Show the nature of F versus r graph where `r` is the distance of the point from the centre of the hollow spherical shell of uniform density

Explanation

To solve the problem of showing the nature of the gravitational force \( F \) versus the distance \( r \) from the center of a hollow spherical shell, we will analyze three distinct regions: inside the shell, on the surface of the shell, and outside the shell.

### Step-by-Step Solution

1. **Understanding the Shell Theorem**:
- According to the Shell Theorem, the gravitational force inside a hollow spherical shell is zero. This means that if a point mass is located anywhere inside the shell (where \( r < R \)), the gravitational force \( F \) acting on it is:
\[
F_{\text{inside}} = 0
...