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# What is the frequency of a light source that has a wavelength of 807 nm? What is the energy of this wave?

##nu=3.71xx10^(14)s^(-1)##

##E=2.46xx10^(-19)J##

The relationship between the wavelength ##lambda## and the frequency ##nu## is the following:

##lambda=c/(nu)##

where ##c## is the speed of light ##c=2.9979xx10^8m/s##.

Therefore, to calculate the frequency of a wave of ##807 nm##:

##nu=c/(lambda)=(2.9979xx10^8cancel(m)/s)/(807xx10^(-9)cancel(m))=3.71xx10^(14)s^(-1)##

##nu## could also be reported in units of Hertz: ##nu=3.71xx10^(14)Hz##

The energy ##E## of this wave can be calculated from:

##E=hnu## where ##h=6.626xx10^(-34)J*s## is called .

##E=hnu=6.626xx10^(-34)J*cancel(s)xx3.71xx10^(14)cancel(s^(-1))=2.46xx10^(-19)J##