The Balmer series involves transitions of electrons in hydrogen atoms where the electron moves to the orbit from higher orbits ( ). The formula for the wave number of the spectral line in the Balmer series is given by:

where is the Rydberg constant for hydrogen and is the principal quantum number of the higher orbit from which the electron transitions.

For the Balmer series, (transition to ):

Now, substitute :

Converting wave number to centimeters :

Approximating to , none of the provided options match exactly. However, the closest option is:

This suggests a possible typographical error in the options provided, as the correct value based on the calculations above does not match any of the given options exactly.