Answer :

The frequency of radiation that has a wavelength of 5.23 x 10^-4 m is

 57.36 x 10¹⁰ Hz.

Light's wavelength and frequency are inversely proportional to one another.

Light waves with the highest frequencies have the shortest wavelengths, and those with the lowest frequencies have the longest wavelengths.

Formula:

Speed of light = wavelength × frequency

c = λ × f

f = c / λ

The speed of light =  3×10⁸ m/s

a wavelength of radiation = 5.23 x 10⁻⁴m

To calculate the frequency of the radiation :

f = c / λ

using values of c and λ  we get,

f = (3×10⁸ m/s) / ( 5.23 x 10⁻⁴m)

f = 0.5736 x 10¹² Hz

f = 57.36 x 10¹⁰ Hz

The frequency of radiation that has a wavelength of 5.23 x 10^-4 m is 57.36 x 10¹⁰ Hz.

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