Taking into account the definition of photon and energy of a photon, the energy per photon is 8.3538×10⁻³⁸ J.
<h3>Energy of a photon</h3>
Electromagnetic radiation carries energy, which can be absorbed or emitted. To explain the processes of emission and absortion, Plank and Einstein proposed that the energy of radiation is composed of indivisible units (quanta). In each elemental process only a quantum of light can be emitted or absorbed. Each of these quanta was called a "photon".
The exchanges of energy between matter and radiation take place not continuously, but by discrete and indivisible quantities or quanta of energy. The quantum of energy is proportional to the frequency of radiation.
The relationship between the amount of energy (E) transported by the photon and its frequency (f) is determined by the following expression:
E=h×f
where:
- E is the energy of a photon.
- h is the Planck's constant h.
- f is the frequency of electromagnetic radiation.
<h3>Energy per photon</h3>
In this case, you know:
- h= 6.63*10⁻³⁴ Js
- f= 1260 kHz= 1,260,000 Hz= 1.26×10⁶ Hz (being 1 kHz=1000 Hz)
Replacing in the definition of energy of a photon:
E= 1.26×10⁶ Hz× 6.63×10⁻³⁴ Js
<u><em>E= 8.3538×10⁻³⁸ J</em></u>
Finally, the energy per photon is 8.3538×10⁻³⁸ J.
Learn more about energy of a photon:
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(i see this result on calculator)