What is the wavelength of a light of frequency $4.47 * 10^14$ $Hz$ ?

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Answer 1 · 2016-06-27T07:57:30

$671 nm$

Wavelength relates to frequency as follows:

$lambda = v/f$
in which $f$ is the frequency, $v$ is the speed of light, and $lambda$ is the wavelength.

Filling this in for the example:

$v = 3 * 10^8 m/s$
$f = 4.47*10^14 Hz = 4.47*10^14 s^(-1)$

$lambda = (3*10^8 m/s) / (4.47*10^14 s^(-1)) = 6.71*10^-7 m$

from m to nm is $*10^9$

So the wavelength is: $671 nm$ (red light).

What is the wavelength of a light of frequency 4.47 * 10^144.47 * 10^14 HzHz?