Multiple Choice
What is observed when all colors of visible light are absorbed by an object?
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9. Quantum Mechanics
The Energy of Light
Multiple Choice
Which of the following best describes the relationship between the energy (E) of a photon and its frequency (ν)?
A
E is independent of ν
B
E is inversely proportional to ν
C
E is directly proportional to ν
D
E is proportional to the square of ν
Verified step by step guidance1
Recall the fundamental equation that relates the energy of a photon (E) to its frequency (\(\nu\)): \(E = h \times \nu\), where \(h\) is Planck's constant.
Understand that Planck's constant (\(h\)) is a fixed value, so the energy \(E\) changes directly with the frequency \(\nu\).
Analyze the options given: if \(E\) is directly proportional to \(\nu\), then doubling \(\nu\) would double \(E\); if inversely proportional, doubling \(\nu\) would halve \(E\); if independent, \(E\) would not change with \(\nu\); and if proportional to the square of \(\nu\), \(E\) would increase with the square of \(\nu\).
Since the equation \(E = h \times \nu\) shows a linear relationship, the correct description is that \(E\) is directly proportional to \(\nu\).
Therefore, the best choice is the one stating that the energy of a photon is directly proportional to its frequency.
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