a 10.3 g reddish brown metal sample gave off 71.7 cal of heat as the temperature decreases from 97.5 to 22.0 what is the specific heat of the sample

Consider hydrogen in an excited state n = 5n=5 that emits photons to reach the ground state. there are various possible transitions other than straight to the ground state that can occur; for example, it can drop to the n = 3n=3 state followed by the n = 3n=3 to the ground state transition. which of the possible transitions will result in the emission of a photon in the visible region?