Physics

Physics

Problem

An atom is excited to an energy level 7.50 eV above the ground state. It first emits a photon of wavelength 450 nm and then a second photon that brings it to the ground state. What is the energy (above the ground state) of the intermediate level populated after the first emission? a) 10.3 eV10.3\ \text{eV} b) 4.74 eV4.74\ \text{eV} c) 2.76 eV2.76\ \text{eV} d) 7.50 eV7.50\ \text{eV}
Intuitive explanation

The key is to use energy conservation: the photon's energy comes directly from the atom's energy drop. Calculate the energy of the first photon from its wavelength using E=hc/λE = hc/\lambda, then subtract that from the initial excited state energy to find where the atom lands after emission. That intermediate level is your answer.

Intuitive explanation

The key is to use energy conservation: the photon's energy comes directly from the atom's energy drop. Calculate the energy of the first photon from its wavelength using E=hc/λE = hc/\lambda, then subtract that from the initial excited state energy to find where the atom lands after emission. That intermediate level is your answer.

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