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The momentum, $p$, of a particle of matter is given by $p=m v .$ Can you calculate the momentum of a photon using the same equation? Explain. ( 27.2 )

   The momentum, $p$, of a particle of matter is given by $p=m v .$ Can you calculate the momentum of a photon using the same equation? Explain. ( 27.2 )

Physics Principle and Problems

Physics Principle and Problems

Paul W. Zitzewitz,… 1st Edition

Chapter 27, Problem 38

Instant Answer

Solved by Expert Ren Jie Tuieng

05/28/2020

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Step 1: The momentum of a particle of matter is given by the equation $p=mv$, where $m$ is the mass of the particle and $v$ is its velocity. Show more…

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The momentum, $p$, of a particle of matter is given by $p=m v .$ Can you calculate the momentum of a photon using the same equation? Explain. ( 27.2 )

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Key Concepts

Relativistic Energy-Momentum Relationship

In the framework of special relativity and quantum mechanics, the momentum of a photon is determined by its energy rather than mass. For photons, energy (E) is related to frequency by E = h?, and their momentum is given by p = E/c (or equivalently, p = h/?). This relation captures the momentum of a massless particle, thereby providing an accurate description of photon dynamics unlike the classical p = m v formula.

Classical Momentum

Momentum in classical mechanics is defined as the product of an object's mass and its velocity (p = m v). This formula works well for objects with nonzero rest mass moving at speeds much lower than the speed of light, but it fails to describe particles that are better understood through the lens of quantum mechanics or special relativity.

Photon Characteristics

Photons are particles of light that have zero rest mass. Despite having no rest mass, photons carry energy and momentum, which are fundamental to their interactions with matter. Their behavior cannot be accurately described using the classical momentum equation.

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