What is the wavelength of radiation with a frequency of #"540 Hz"#?

1 Answer
Dec 19, 2017

The wavelength will be #"5.6"xx"10"^5" m"#.

Explanation:

Use the equation:

#c = lambdaxxnu#,

where:

#c# is the speed of light, #lambda# is the wavelength, and #nu# (pronounced "noo") is the frequency.

Known

#c=3.00xx"10"^8 "m/s"#

#nu="540 Hz = 540/s"#

Unknown

#lambda#

Solution

Rearrange the equation to isolate #lambda#. Plug in the known values and solve.

#lambda=c/nu#

#lambda=(3.00xx10^8"m"/color(red)cancel(color(black)("s")))/("540"/color(red)cancel(color(black)("s")))="5.6"xx"10"^5" m"# rounded to two significant figures