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Question

The wavelength of a red light is 700 nm. The energy contained in each photon of light is.

A
4.77 eV
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B
3.77 eV
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C
2.77 eV
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D
1.77 eV
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Solution

The correct option is D 1.77 eV

The energy carried by a photon is given by the quantum relation E=hν, or interchangeably, E=hcλ. Remember that the photon itself does not have any frequency or wavelength - it is not a wave. It just so happens that the photon's energy is related to the frequency of the light wave it corresponds to.

Anyway, the energy contained in a photon of light of wavelength 700nm will be -

E=hcλ=(6.626×1034Js)×(3×103m/s)700×109m=2.839×1019J=(2.839×1019×6.2415×1018)ev=1.772eV


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