After applying sunscreen, Cherie lies in the summer sun to get a tan. The ultraviolet light responsible for tanning has a wavelength over 310. nm, while the burning rays can range down to 280. nm. Which ultraviolet photons emit more energy, those that tan or those that burn?

The photons that burn, emit more energy.

Explanation:

The energy of the ultraviolet photons can be determined by means of the following equation:

 (1)

Equation 1 can be rewritten in terms of

Since,  

 (2)

Where h is the planck's constant, c is the speed of light and is the wavelength.

Case for the photon of with

⇒

Case for the photon of with

⇒

Hence, the photons that burn, emit more energy.

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