An electron in hydrogen absorbs a photon and jumps to a higher orbit.

(a) Find the energy the photon must have if the initial state is n = 3 and the final state is n = 5.

(b) If the initial state was n = 5 and the final state n = 7, would the energy of the photon be greater than, less than, or the same as that found in part (a)? Explain.

(c) Calculate the photon energy for part (b).