What is the wavelength of light that has a frequency of #2.55 times 10^14# #Hz#?

1 Answer
Meave60
Nov 5, 2016

The wavelength is #1.18xx10^(-6)# #"m"#.

Explanation:

The equation to use is #c=lamda*f#, where #c# is the speed of light, #lamda# is wavelength, and #f# is frequency in Hz. #("1 Hz"="s"^(-1)")#

#c=3.00xx10^8"m/s"# to three significant figures
#f=2.55xx10^(14) "Hz"=2.55xx10^(14)"s"^(-1)#
#lamda=???#

Rearrange the equation to isolate #lamda#. Substitute the known values into the equation and solve.

#lamda=c/f#

#lamda=(3.00xx10^8"m"/cancel"s")/(2.55xx10^14cancel"s"^(-1))#

#lamda=1.18xx10^(-6)# #"m"# to three significant figures

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