The radius of atom is of the order of `1A^(@)` & radius of Nucleus is of the order of fermi. How many magnitudes higher is the volume of the atom as compared to the volume of nucleus ?

Explanation

To find out how many magnitudes higher the volume of an atom is compared to the volume of its nucleus, we can follow these steps:

### Step 1: Define the radii
- The radius of the atom \( r_a \) is given as \( 1 \text{ Å} = 10^{-10} \text{ m} \).
- The radius of the nucleus \( r_n \) is given as \( 1 \text{ Fermi} = 10^{-15} \text{ m} \).

### Step 2: Calculate the volume of the atom
The volume \( V_a \) of a sphere (which we can approximate the atom to be) is given by the formula:
...