A hydrogen like ion `He^(o+) (Z = 2)` is exposed to electromagnetic waves of `256.4 Å` The excited electron gives out induced radiation .Find the wavelength of the induced radiation when the electron de-excites back to the ground state `(R = 109677 cm^(-1))`

Explanation

To solve the problem of finding the wavelength of the induced radiation when the excited electron in a hydrogen-like ion `He^(o+)` (Z = 2) de-excites back to the ground state, we can follow these steps:

### Step 1: Convert the given wavelength to meters
The wavelength of the electromagnetic waves is given as `256.4 Å`. We need to convert this to meters for our calculations.

\[ \text{Wavelength in meters} = 256.4 \, \text{Å} = 256.4 \times 10^{-10} \, \text{m} \]
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