Problem: A photon of orange light has energy of 3.13 x 10-19 J. What is its wavelength?A. 700 nmB. 635 nmC. 590 nmD. 562 nmE. 494 nm

FREE Expert Solution

We’re being asked to calculate the wavelength being emitted by an orange light with an energy of 3.13 x 10-19 J


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

A photon of orange light has energy of 3.13 x 10-19 J. What is its wavelength?

A. 700 nm

B. 635 nm

C. 590 nm

D. 562 nm

E. 494 nm