(a) What are the frequency and wavelength of a photon
emitted during transition from n = 5 state to n = 2 state
in the hydrogen atom ?
(b) In which region of the electromagnetic spectrum will
this radiation lie ?

Explanation

To solve the problem, we need to calculate the frequency and wavelength of a photon emitted during the transition from the n = 5 state to the n = 2 state in a hydrogen atom. Let's break it down step by step.

### Step 1: Calculate the Energy of the Transition
The energy of the photon emitted during the transition can be calculated using the Rydberg formula for hydrogen:

\[ E = R_H \left( \frac{1}{n_1^2} - \frac{1}{n_2^2} \right) \]
...