Calculate the longest and the shortest wavelength observed in the balmer series of the h atom spectrum

The longest wavelength observed in the Balmer series of the H atom spectrum is 656.3 nm.

The shortest wavelength observed in the Balmer series of the H atom spectrum is 364.6 nm.

Explanation:

Using Rydberg's Equation:

Where,

= Wavelength of radiation

= Rydberg's Constant

= Higher energy level

= Lower energy level

For wavelength to be longest, energy would be minimum, i.e the electron  will jump from third level to second level  :

= Higher energy level =  

= Lower energy level = 2 (Balmer series)

Putting the values, in above equation, we get

The longest wavelength observed in the Balmer series of the H atom spectrum is 656.3 nm.

For wavelength to be shortest, energy would be maximum, i.e the electron  will from infinite level to second level. :

= Higher energy level =  

= Lower energy level = 2 (Balmer series)

Putting the values, in above equation, we get

The shortest wavelength observed in the Balmer series of the H atom spectrum is 364.6 nm.