What is the longest wavelength in the Balmer series? (Hint: the Rydberg constant for Hydrogen is 1.096776×107 1/m, and the Balmer series is the second series of lines in the spectrum of the Hydrogen.)

The longest wavelength of light is 656.5 nm

Explanation:

For the longest wavelength, the transition should be from n to n+1, where: n = lower energy level

To calculate the wavelength of light, we use Rydberg's Equation:

Where,

= Wavelength of radiation

= Rydberg's Constant  =

= Higher energy level =

= Lower energy level = 2    (Balmer series)

Putting the values in above equation, we get:

Converting this into nanometers, we use the conversion factor:

So,

Hence, the longest wavelength of light is 656.5 nm