How does radius of a nucleus vary with mass number ? Show that nuclear density is the same for all nuclei.

Explanation

To solve the question, we will break it down into two parts: how the radius of a nucleus varies with mass number and how to show that nuclear density is the same for all nuclei.

### Part 1: Variation of Nucleus Radius with Mass Number

1. **Understanding the Volume of the Nucleus**:
The volume \( V \) of a nucleus is given by the formula for the volume of a sphere:
\[
V = \frac{4}{3} \pi r^3
...