A deutron is accelerated through a potential of 500 volts. Find the potential through which a singly ionised helium ion is to be accelerated for the same De Broglie wavelength.

Explanation

To solve the problem, we need to find the potential through which a singly ionized helium ion must be accelerated to achieve the same De Broglie wavelength as a deuteron accelerated through a potential of 500 volts.

### Step-by-Step Solution:

1. **Understanding the De Broglie Wavelength Formula**:
The De Broglie wavelength (λ) is given by the formula:
\[
\lambda = \frac{h}{\sqrt{2mv}}
...