Question

In what part of the electromagnetic spectrum would transition lines of n = 7 be expected to be found?

Answer 1

The easy way to do this is to solve the Rydberg equation using n1 = 1 and n2 = 7 and a second time for n1 = 6 and n2 = 7. That gives you the range from the shortest wavelength to the longest wavelength, then compare these with the electromagnetic chart to see what range of the spectrum that is.
1/wavelength = R(1/n^2 - 1/n^2).
The first n is n1 = 1 and the second n is n2 = 7. The second time n1 = 6 and n2 = 7)
R is the Rydberg constant = 1.0973E7 and wavelength comes out in meters.