What is the wavelength of a radio wave with a frequency of 111 MHz?

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Answer 1 · 2018-02-02T02:16:15

The wavelength is #"2.70 m"#.

The formula relating wavelength #λ# and frequency #f# is

#color(blue)(bar(ul(|color(white)(a/a)fλ = c color(white)(a/a)|)))" "#

where

#c = # the speed of light

We can rearrange this equation to get the formula:

#λ = c/f#

Thus, if #f = "111 MHz"#,

#λ = (2.998 × 10^8color(white)(l) "m"·color(red)(cancel(color(black)("s"^"-1"))))/(111 × 10^6 color(red)(cancel(color(black)("s"^"-1")))) = "2.70 m"#