Copper atoms have 29 protons in their nuclei. If the copper nucleus is a sphere with a diameter of 4.8 × 10−15 m, find the work required to bring an alpha particle (charge = +2e) from rest at infinity to the "surface" of the nucleus.

Solution 3P

Step 1 of 3</p>

Here, we have to calculate the work required to bring an alpha particle from infinity to the surface of a copper nucleus.

The equation for the work done,

Where, - Electrostatic potential

- Charge of the particle

Step 2 of 3</p>

The equation for the electrostatic potential of the copper nucleus on its surface is,

Where, - The radius of the copper nucleus

- Charge of the copper nucleus

- Permittivity of free space

Provided, the charge of the copper nucleus is,

Diameter of the copper nucleus,

Therefore, the radius of the copper nucleus,

Substitute these values in the equation.

We know that,

The electrostatic potential,