A hydrogen atom initially in an excited state emits two photons as it returns to the…

PHYSICS · Single correct · A Level · Physics · Particles and radiation · Particles and radiation

Problem

A hydrogen atom initially in an excited state emits two photons as it returns to the ground state. Photon X has wavelength 121 nm121\,\text{nm} and photon Y has wavelength 656 nm656\,\text{nm}. Which of the following best explains why photon X carries more energy than photon Y? (a) Photon X involves the electron dropping two principal quantum levels instead of one, and a larger change in nn always releases more energy. (b) Photon X corresponds to a transition that ends at the first energy level, so the energy difference between the two states is larger. (c) Photon X has a shorter wavelength, and since photon energy is directly proportional to wavelength (E∝λE\propto\lambda), it must carry more energy than photon Y. (d) Photon X is emitted first in the cascade, and the first photon released always carries the greatest energy.

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