# A microwave photon in the x-band region has a wavelength of 3.00 cm. Find (a) the momentum, (b)...

## Question:

A microwave photon in the x-band region has a wavelength of 3.00 cm. Find (a) the momentum, (b) the frequency, and (c) the energy of the photon in electron volts.

## Wave-particle duality of radiation

The experiments on the black-body radiation and the photoelectric effect revolutionized Physics in the 20th century. Planck's hypothesis established the corpuscular behavior of photons explaining the experimental results (relation between the energy and the radiation frequency). Further experiments by Compton demonstrated that electrons carried a definite momentum proportional to their wavelength and could be used in collision experiments with the elementary particles. In some scenarios, the wave behavior of radiation prevailed while in others the physical phenomena could only be explained with the aid of the corpuscular theory.

## Answer and Explanation: 1

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Photons follow a linear dispersion relation between their energy and momentum,

{eq}E=pc \qquad\qquad (1) {/eq}.

a) The photon's momentum equals,

{...

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#### Learn more about this topic:

Wave-Particle Duality: Concept, Explanation & Examples

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Chapter 5 / Lesson 18
30K

Understand what wave particle duality is by learning its definition. Know how light behaves like a particle and see evidence that light is a particle.