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Question: Answered & Verified by Expert
An α particle, a proton and an electron have the same kinetic energy. Which one of the following is correct in case of their de-Broglie wavelength:
PhysicsDual Nature of MatterJEE MainJEE Main 2023 (24 Jan Shift 2)
Options:
  • A λα>λp>λe
  • B λα<λp<λe
  • C λα=λp=λe
  • D λα>λp<λe
Solution:
2495 Upvotes Verified Answer
The correct answer is: λα<λp<λe

As we know, de-Broglie wavelength is given by,

λ=hp

and p=2mK

Therefore,

λ=h2mK

As kinetic energy is the same for all particles,

λ1m

mα>mp>me

λe>λp>λα

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