A certain electromagnetic wave has a wavelength of 6.25 x 10-7m. What is the frequency of the wave?

The frequency of the electromagnetic wave is  4.8 x 10¹⁴s⁻¹

In an Electromagnetic wave, The frequency , speed and wavelength of an are related by the formula

λ=  c/f

where

λ = wavelength in metres, m.

c= speed of light  in metres per sec, m/s

f= frequency in per seconds or hertz,( s⁻¹ , Hz)

Given that Wavelength of the electromagnetic wave is 6.25 x 10-7m.

We know that speed of light is 3 x 10⁸ m/s

Substituting the values into the equation becomes

f  =  c/  λ

f= 3 x 10 ⁸m /s  / 6.25 x 10⁻⁷ m  = 4.8 x 10¹⁴s⁻¹

Hence, The frequency of the electromagnetic wave is  4.8 x 10¹⁴s⁻¹

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4.80 * 10¹⁴s⁻¹

Explanation:

Speed = Frequency * Wavelength

So:

Frequency = Speed/ Wavelength

Speed of light = 3 * 10⁸ m/s

Frequency = (3 * 10⁸ m/s) / (6.25 x 10⁻⁷m)

= 4.80* 10¹⁴hz

= 4.80 * 10¹⁴s⁻¹

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