# Of the following transitions in hydrogen atom, the one which gives an absorption line of highest frequency is:

a)n = 1 to n = 2

b)n = 3 to n =8

c)n = 2 to n = 1

d)n =8 to n =3

(c) and (d) cannot be true because it results in emission lines. Between (a) & (b), I think the answer is (a) because the energy difference between n = 1 to n = 2 is greater than the energy difference between n = 3 to n =8 levels and so higher is frequency of the absorption line. But the answer given in my book is (b). Is there a mistake in my reasoning?