Yellow-green light has a wavelength of 560 nm. What is its frequency?

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Answer 1 · 2016-11-20T23:19:42

The frequency is #5.4xx10^14"Hz"#

The wavelength #(lambda)# times frequency #(nu)# equals the speed of light #(c)#, which is #3.00xx10^8"m/s"# to three significant figures.

#c=lambda*nu#

#nu=c/lambda#

Frequency is measured in Hertz (Hz), which is #"/s"# or #"s"^(-1)"#.

Convert #"560 nm"# to meters since the unit for the speed of light is #"m/s"#.

#"1 nm"=1xx10^(-9)"m"#

#560 cancel"nm"xx(1xx10^(-9)"m")/(1cancel"nm")=5.6xx10^(-7)"m"#

#nu=c/lambda#

#nu=(3.00xx10^(8)color(white)(.)"m/s")/(5.6xx10^(-7)"m")=5.5xx10^(14) "s"^(-1)"##=##5.4xx10^(14)"Hz"#