Photon momentum and energy question

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SUMMARY

The discussion centers on the relationship between photons' properties, specifically their linear momentum, wavelength, energy, and frequency. The correct answer to the posed question is option D: "equal linear momenta have equal wavelengths." The user highlights that while options A, B, and C appear correct, they fail to account for the vector nature of linear momentum, which is distinct from the scalar nature of wavelength, energy, and frequency. This distinction clarifies why only option D is valid.

PREREQUISITES
  • Understanding of photon properties, including wavelength, energy, and frequency.
  • Familiarity with the equations λ=h/p, E=pc, and f=c/λ.
  • Knowledge of vector versus scalar quantities in physics.
  • Basic principles of momentum in the context of physics.
NEXT STEPS
  • Study the implications of the equation λ=h/p in relation to photon momentum.
  • Explore the concept of vector quantities versus scalar quantities in physics.
  • Investigate the relationship between energy and momentum in photons using E=pc.
  • Learn about the properties of light and electromagnetic radiation in detail.
USEFUL FOR

Students studying physics, particularly those focusing on quantum mechanics and the properties of light, as well as educators looking to clarify concepts related to photon behavior.

metalrose
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Homework Statement



Choose the correct option (only one correct option)
Two photons having
A.) equal wavelengths have equal linear momenta
B.) equal energies have equal linear momenta
C.) equal frequencies have equal linear momenta
D.) equal linear momenta have equal wavelengths

Homework Equations



λ=h/p
E=pc
f=c/λ

The Attempt at a Solution



All options seem correct to me. But the correct answer given in my book is the option d.)

Looking for an explanation for why the other three are incorrect.
 
Physics news on Phys.org
linear momentum is a vector.
wavelength, energy, and frequency, are not.
All are correct if they said "equal magnitude".
 
Simon Bridge said:
linear momentum is a vector.
wavelength, energy, and frequency, are not.
All are correct if they said "equal magnitude".

Thanks a lot. I don't know how overlooked that ..!
 
Actually it took me a little while longer than I'd have liked.
And it is because of how we are used to seeing those equations.
Cheers.
 

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