Problem: Infrared radiation has wavelengths of roughly from 700 nm to 1 mm. If a certain infrared wave has a wavelength of 6,254 nm, what is the energy of one of its photons in J? Once you have the value, take its log (base 10) and enter that with three decimal places as your answer. Do not enter units.

FREE Expert Solution

Establish the relationship of energy and wavelength then calculate the energy of a photon that has a wavelength of 6,254 nm


Recall that the energy of a photon (E) is given by:


E=hv (1)


where:

h = Planck’s constant (6.626 × 10–34 J • s)

v = frequency (in s–1)


Also, recall that the frequency (v) and wavelength (λ) are related:


λ=cv (2)


where:

c = speed of light (3.0 × 108 m/s)


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Problem Details

Infrared radiation has wavelengths of roughly from 700 nm to 1 mm. If a certain infrared wave has a wavelength of 6,254 nm, what is the energy of one of its photons in J? Once you have the value, take its log (base 10) and enter that with three decimal places as your answer. Do not enter units.

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