Final answer:
The wavelength of the hydrogen emission spectrum line for the transition from n=6 to n=2 is 410 nm, part of the violet spectrum.
Step-by-step explanation:
The wavelength in nanometers of the bright line of the hydrogen emission spectrum corresponding to the transition from n=6 to n=2 is 410 nm (violet). The hydrogen atom emits a photon of electromagnetic radiation during this transition, corresponding exactly to the difference in energy between the initial and final states. The emission spectrum of hydrogen consists of various lines known as series, with the Balmer series corresponding to electron transitions ending at the n=2 level.