What is the frequency if the wave has a wavelength of 670 nm

The frequency : f = 4.478 x 10¹⁴ /s

Given

wavelength = 670 nm = 670 x 10⁻⁹ m = 6.7 x 10 ⁻⁷ m

Required

The frequency

Solution

Wavelength : from the crest to the crest of the next wave or the trough to the trough

Frequency (f): number of waves in one second

Can be formulated :

 v = λ x f

f = v / λ

So the frequency is inversely proportional to the wavelength

v = 3 x 10⁸ m/s(speed of light)

Input the value :

f = 3 x 10⁸ m/s : 6.7 x 10 ⁻⁷ m

f = 4.478 x 10¹⁴ /s

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