Multiple Choice
In photosynthesis, what is the energy of a photon first used to do?
9. Quantum Mechanics
The Energy of Light
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Calculate the energy (in nJ) of a photon emitted by a mercury lamp with a frequency of 6.88 x 1014 Hz.
A
5.46 x 10-9 nJ
B
9.89 x 10-9 nJ
C
2.89 x 10-10 nJ
D
4.56 x 10-10 nJ
Verified step by step guidance1
Start by recalling the formula for the energy of a photon, which is given by: , where is Planck's constant and is the frequency of the photon.
Planck's constant is approximately J·s. Ensure you have this value ready for substitution into the formula.
Substitute the given frequency Hz into the formula: .
Calculate the energy in joules first. This involves multiplying the values of Planck's constant and the frequency. Remember to handle the powers of ten correctly during multiplication.
Convert the energy from joules to nanojoules (nJ) by multiplying the result by , since 1 nJ = J.
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