How to Calculate Energy of a Photon Based on its Frequency

What is the energy of a photon with a frequency of 6 x 10^12 Hz?

A. 2.21 x 10^-42 J

B. 3.98 x 10^-21 J

C. 1.988 x 10^-25 J

D. 1.10 x 10^-46 J

Answer:

B. 3.98 x 10^-21 J

To calculate the energy of a photon, you can use the formula E = hf, where E is the energy, h is the Planck constant (6.63 x 10^-34 J·s), and f is the frequency of the photon.

In this case, the frequency of the photon is given as 6 x 10^12 Hz. Plugging this value into the formula, we get:

E = (6.63 x 10^-34 J·s) * (6 x 10^12 Hz)

E = 3.98 x 10^-21 J

Therefore, the energy of a photon with a frequency of 6 x 10^12 Hz is 3.98 x 10^-21 J.