Calculate the ratio of the accelerating potential required to accelerate (i) a proton and (ii) and `alpha` particle to have the same de-Broglie wavelength associated with them.

Explanation

To solve the problem, we need to calculate the ratio of the accelerating potential required to accelerate a proton and an alpha particle such that they have the same de-Broglie wavelength.

### Step-by-Step Solution:

1. **Understand the de-Broglie wavelength formula**:
The de-Broglie wavelength (\(\lambda\)) of a particle is given by the formula:
\[
\lambda = \frac{h}{p}
...