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Question: Answered & Verified by Expert
According to de-Broglie hypothesis, the wavelength associated with moving electron of mass m is λe. Using mass energy relation and Planck's quantum theory, the wavelength associated with photon is λp. If the energy (E) of electron and photon is same then relation between λe and λp is
PhysicsDual Nature of MatterJEE Main
Options:
  • A  λp α λe
  • B  λp α λe2
  • C λp αλe
  • D  λp α1λe
Solution:
2166 Upvotes Verified Answer
The correct answer is:  λp α λe
For photon: E=hcλp
     λp=hcE ..........(i)
For electron:  E=mc2=pc
     p=EC
λe=hp=hcE ........(ii)
By Equations. (i) and (ii),
λp  λe

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