J.R. S. answered 02/21/23
Ph.D. University Professor with 10+ years Tutoring Experience
For case 1, a photon is absorbed by the atom. This is because for an electron to JUMP to a higher energy level, energy must be added to the atom.
Comparing both cases, more energy is absorbed fro case 2. This is because the electron is jumping 4 levels (from 3 to 7) in case 2 compared to it jumping 2 levels (from 3 to 5) is case 1. This requires MORE energy to be absorbed.