Multiple Choice
In photosynthesis, what is the energy of a photon first used to do?
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9. Quantum Mechanics
The Energy of Light
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Which of the following formulas is used to calculate the energy of a photon?
A
E = c / u
B
E = h u
C
E = h / u
D
E = m c^2
Verified step by step guidance1
Understand that the energy of a photon is related to its frequency. The key concept here is that photons are quantized packets of electromagnetic energy.
Recall the fundamental formula that relates the energy (E) of a photon to its frequency (\( \nu \)) using Planck's constant (\( h \)). This formula is:
\[ E = h \nu \]
Identify the constants and variables in the formula:
- \( E \) is the energy of the photon,
- \( h \) is Planck's constant,
- \( \nu \) (nu) is the frequency of the photon.
Compare the given options with the correct formula. The correct formula must have energy proportional to frequency multiplied by Planck's constant, not divided by frequency or involving speed of light (\( c \)) or mass (\( m \)) in this context.
Conclude that the correct formula to calculate the energy of a photon is
\[ E = h \nu \]
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