Question

Electromagnetic radiation (photon) with highest wavelength results when an electron in the hydrogen atom falls from  n=6 to:​

Answer 1

Electromagnetic radiation (photon) with highest wavelength results when an electron in the hydrogen atom falls from  n=6 to n=5.

Reason:

• Energy difference between n=6 and n=5 is very less.

• Frequency of the EM wave is directly proportional to the energy released i.e. $E = hf$.

• Hence the transfer from 6th to 5th orbit will generate least energy and corresponding least frequency.

• On the other hand , the wavelength is inversely proportional to the energy of wave, i.e. lesser the energy , more will be the wavelength.

• $E \propto f\propto\dfrac{1}{\lambda}$

Hence , the transfer of electron from n=6 to n=5 will generate an EM wave with least frequency and highest wavelength.