Energy of a Photon: Let's Calculate!

How much energy does a photon of frequency 6 x 10¹² Hz have?

A. 3.98 x 10^-21 J

B. 1.10 x 10^-46 J

C. 1.988 x 10^-25 J

D. 2.21 x 10^-42 J

Answer

The energy of a photon with a frequency of 6 x 10¹² Hz is 3.98 x 10^-21 J.

Explanation: The energy of a photon can be calculated using the formula E = hf, where E is the energy, h is Planck's constant, and f is the frequency of the photon. In this case, the frequency is 6 x 10² Hz. To calculate the energy, we need to convert the frequency to standard form. Therefore, 6 x 10² Hz is equivalent to 6 x 10¹² Hz.

Plugging this value into the formula, we get: E = (6.63 x 10^-34 J•s) * (6 x 10¹² Hz) = 3.98 x 10^-21 J. Therefore, the energy of a photon with a frequency of 6 x 10¹² Hz is 3.98 x 10^-21 J (option A).

So, next time you come across a photon with a frequency of 6 x 10¹² Hz, you'll know exactly how much energy it carries! Keep exploring the fascinating world of physics!