Chapter 39: Problem 29
(a) An atom initially in an energy level with
Short Answer
Step by step solution
Calculate the energy of the absorbed photon
Calculate the internal energy after photon absorption
Calculate the energy of the emitted photon
Calculate the internal energy after photon emission
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Energy Levels
Visualizing energy levels as steps on a staircase can help; an electron can jump from one step to another but cannot stay in between. During such transitions, energy levels change based on whether photons are absorbed (increasing energy) or emitted (decreasing energy).
For example, an atom with an initial energy of
Photon Energy Calculation
is the photon's energy is Planck's constant ( ) is the speed of light ( ) represents the wavelength in meters
For instance, the photon absorbed at 860 nm has an energy calculated roughly as
Electron Volt (eV)
In numbers, 1 eV equals
In practical terms, this unit provides a convenient framework for discussing photon energies like those calculated in the earlier sections, such as the
Wavelength Conversion in Physics
Commonly, light wavelengths are given in nanometers (nm). To convert nm to meters, multiply the given wavelength by
Ensuring precision in unit conversion is vital to achieving accurate and meaningful results, as demonstrated in our absorption and emission calculations, where meticulous conversion led to precise energy values.