• The energy change associated with the transition from n = 4 to n = 1 in the hydrogen atom can be calculated as follows :,
∆E = RH ( 1/nf -1/ni)
{where nf = 1 andni = 4 ( (n final) is the level you end up at, and (n initial) is the one you started from.)}
So, ∆E = RH ( 1/nf -1/ni) = (-2.18 * 10^-18 J)( 1/4 -1/1)
= 2.04375 X 10^-18 J of energy is emitted.
Therefore , option C is the correct answer.