# UV light is responsible for sun tanning. How do you find the wavelength (in nm) of an ultraviolet photon whose energy is #6.4 x 10^-19#?

##### 1 Answer

Jul 12, 2016

The photon will have a wavelength of about

#### Explanation:

The energy of a photon is proportional to its wavelength and is given by the equation:

Where

And

Thus

We can manipulate the previous equation to solve for wavelength:

Thus