Infrared radiation has wavelengths ranging from about 800 nm to 1 mm. What is the corresponding frequency of radiation of a wavelength of 970 nm?.



Answer :

The corresponding frequency of infrared radiation of a wavelength of 970 nano meters(nm) is 3 x 10^14 Hertz.

The relation between the frequency and wavelength of a radiation is as follows:

c = f x λ

Here c = speed of light = 3 x 10^8 m/s

So, the frequency of a given wavelength can be calculated by applying the above formula,

Putting λ = 970 nm = 970 x 10^-9 m

3 x 10^8 m/s = f x 970 x 10^-9

f = 3 x 10^14 Hz.

Hence, the corresponding frequency of radiation of a wavelength of 970 nm is 3 x 10^14 Hertz.

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