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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##