Use the Einstein relation E = hf and the relation E = pc

Chapter , Problem 3P

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QUESTION:

Use the Einstein relation \(E=h f\) and the relation \(E=p c\) to show that the de Broglie relation A.3 holds for photons.

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QUESTION:

Use the Einstein relation \(E=h f\) and the relation \(E=p c\) to show that the de Broglie relation A.3 holds for photons.

ANSWER:

 

Given in the question are two energy magnitudes. We can equate the both equations and then arrive at the desired expression. The steps are discussed below.

 

Step 1 of 2

Given, \(E=h f\) ………. (1)

Here, \(h\) = Planck's constant

\(f=\) frequency of a photon

The energy of a photon with momentum \(p\) and speed \(c\) is

\(E=p c\) ………. (2)

 

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