How do you determine the frequency of light whose wavelength is #4.257 x 10^-7# cm?

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1 Answer
Dec 5, 2016

Please see the explanation.

Explanation:

Let #c = "the speed of light" = 3.0 xx 10^8 m/s#
Let #lambda = "the wavelength" = 4.257 xx 10^-9 m#
Let #f = # the unknown frequency (in Hz which is the same as #s^-1#).

NOTE: I converted the wavelength from cm to m.

Please observe this equation has consistent units:

#c" (in "m/s) = lambda " (in meters) " xx f " (in Hz or s"^-1")"#

When you divide both sides by #lambda#, the units remain consistent:

#f = c/lambda#

#f = (3.0 xx 10^8 m/s)/(4.257 xx 10^-9m)#

#f = 7.0 xx 10^16 Hz#