# A photon of light has a wavelength of 3.20 x 105 m. What is the a.the frequency of the radiation. b. the energy of the photon....

A photon of light has a wavelength of 3.20 x 105 m.

What is the a.the frequency of the radiation.

b. the energy of the photon.

c. the region of the electromagnetic spectrum that this radiation represents.

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### 1 Answer

To answer part a of this question, you need to know that the wavelength and frequency are related using the equation:

speed of light = frequency x wavelength

You should also know that as the wavelength increases, the frequency decreases. So radiation with shorter wavelengths has higher frequency and is generally more damaging to tissue.

All electromagnetic radiation travels at the same speed, 3.0 x 10^8 m/s. So to solve this problem, substitute:

3.0 x 10^8 m/s = (3.2 x 10^5 m) x frequency

So the frequency is 9.4 x 10^2 1/s or Hz (Hertz).

To answer part b you need to consult the electromagnetic spectrum (see below). Locate the region of the EMS that matches either the wavelength or frequency. This is in the long radio waves section. Hope this helps!

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