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Question: Answered & Verified by Expert
If the kinetic energy of the particle is increased to 16 times its previous value, the percentage change in the de-Broglie wavelength of the particle is:
PhysicsDual Nature of MatterNEETNEET 2014
Options:
  • A 25
  • B 75
  • C 60
  • D 50
Solution:
2636 Upvotes Verified Answer
The correct answer is: 75

KEfinal=16KEinitial

12mvf2=16×12mvi2(mass remains same because the particle remains same)

vf=4vi
We know that, De-broglie wavelength (λ)=hmv

λf=hmvf=h4mvi

  So De-Broglie wave will decreased to 75%

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