If our eyes could see a slightly wider region of the electromagnetic spectrum, we would see a fifth line in the Balmer series emission spectrum. Calculate the wavelength λ associated with the fifth line

Wavelength  associated with the fifth line is 397 nm

Explanation:

= Wavelength of radiation

E= energy

For fifth line in the H atom spectrum in the balmer series will be from n= 2 to n=7.

Using Rydberg's Equation:

Where,

= Wavelength of radiation

= Rydberg's Constant =

= Higher energy level = 7

= Lower energy level = 2 (Balmer series)

Putting the values, in above equation, we get

Thus wavelength λ associated with the fifth line is 397 nm