if we consider electrons and photons of the same wavelength, then they will have the same
Correct answer: D. momentum
- A. velocity
- B. angular momentum
- C. energy
- D. momentum
Explanation
Electrons and photons both exhibit wave-particle duality as per quantum mechanics.For a wave of same wavelength λ, the frequency f of the wave will be same for both electrons and photons based on the wave equation:λ = v/fFrom Planck's equation, we know the energy E of a photon is related to its frequency by:E = hfFor electrons, the de Broglie wavelength λ is related to its momentum p by:λ = h/pIf electrons and photons have the same wavelength λ, then they must have:Same frequency fSame energy ESame momentum pTherefore, if electrons and photons have the same wavelength, the physical quantity they will have in common is momentum (p).
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Classical physics cannot explain blackbody radiation and related observations, leading to Planck’s quantum theory, in which energy is emitted or absorbed in discrete packets. Photons provide the particle model of light, with energy and momentum linked to frequency and wavelength, including the photoelectric effect and its threshold frequency.
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