A proton of mass ' m p ' has same energy as that of a photon of wavelength ' λ '. If the proton is moving at non-relativistic speed, then ratio of its de Broglie wavelength to th

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A proton of mass ' m p ​ ' has same energy as that of a photon of wavelength ' λ '. If the proton is moving at non-relativistic speed, then ratio of its de Broglie wavelength to the wavelength of photon is.

TestHub · Accepted Answer

Energy of photon = E = λ h c ​ ⇒ Wavelength of photon = λ = E h c ​ Energy of proton = E = 2 1 ​ m p ​ v 2 = 2 m p ​ P 2 ​ ⇒ Linear momentum of proton = P = 2 m p ​ E ​ Or de-Broglie wavelength of proton = λ p ​ = Ratio λ λ p ​ ​ ​ P h ​ = 2 m p ​ E ​ h ​ = 2 m p ​ E ​ h ​ × h c E ​ = c 1 ​ 2 m p ​ E ​ ​ ​

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