When an electron of an atom returns from an excited state to the ground state it emits energy in the form of photon's does the change in energy level compare to the energy of the emitted photon?

Yes, when an electron transitions from an excited state back to the ground state, the change in energy level is equal to the energy of the emitted photon. This energy difference corresponds to the specific wavelength or frequency of the photon produced, as described by the equation E = hf, where E is the energy, h is Planck's constant, and f is the frequency of the emitted photon. Therefore, the emitted photon's energy directly reflects the energy difference between the two states.