What is the formula for calculating the energy of a photon?

A. [tex]\(E = h - f\)[/tex]
B. [tex]\(E = \frac{h}{f}\)[/tex]
C. [tex]\(E = h + f\)[/tex]
D. [tex]\(E = h f\)[/tex]



Answer :

To determine the correct formula for calculating the energy of a photon, let's go through some fundamental concepts in physics. Photons are elementary particles that represent quantum of light or other electromagnetic radiation. The energy of a photon is directly proportional to its frequency, and the relationship is captured by Planck’s equation.

In Planck’s equation:
- [tex]\( E \)[/tex] stands for the energy of the photon.
- [tex]\( h \)[/tex] represents Planck’s constant, which is a fundamental constant in quantum mechanics.
- [tex]\( f \)[/tex] denotes the frequency of the photon.

The correct formula relating energy [tex]\( E \)[/tex], Planck’s constant [tex]\( h \)[/tex], and frequency [tex]\( f \)[/tex] is expressed as:

[tex]\[ E = h f \][/tex]

None of the other given options correctly represent the relationship between energy, Planck’s constant, and frequency. Therefore, the accurate formula for calculating the energy of a photon is:

[tex]\[ E = h f \][/tex]