Two neutral particles are kept 1m apart. Suppose by some mechanism some charge is transferred from one particle to the other and the electric potential energy lost is completely converted into a photon. Calculate the longest and the next smaller wavelength of the photon possible. `h=6.63xx10^(-34)Js`.

Explanation

To solve the problem, we need to calculate the electric potential energy lost when a charge is transferred between two neutral particles and how this energy is converted into the energy of a photon. We will find the longest and the next smaller wavelength of the photon possible.

### Step-by-Step Solution:

1. **Understanding Electric Potential Energy**:
The electric potential energy (U) between two point charges \( +q \) and \( -q \) separated by a distance \( r \) is given by:
\[
U = \frac{1}{4 \pi \epsilon_0} \frac{q^2}{r}
...