In the spectrum of hydrogen the lines obtained by setting m = 1 in Balmer's formula is called the Lyman series.Calculate the wavelength of the spectral line of the 16th member of the Lyman series.
A)91.6 nm
B)371 nm
C)102 nm
D)83.2 nm

Question

Quizplus · Accepted Answer

The Lyman series corresponds to transitions where the final energy level is n=1. The 16th member means the initial energy level is n=17. Using the Rydberg formula for hydrogen, 1/λ = R_H (1/1^2 - 1/17^2), where R_H is the Rydberg constant (1.097 x 10^7 m^-1). Solving this gives λ ≈ 91.6 nm.

In the Spectrum of Hydrogen the Lines Obtained by Setting