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A particle with initial K.E = E and de-Broglie wavelength λ enters a region in which it has potential energy V. What is the particle’s new de-Broglie wavelength?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Aparticle with initialK.E=Eand de-Broglie wavelengthλenters a r...
In the initial case (free particle)
V = 0
Total energy = E = kinetic energy
Since the total energy remains conserved
∴ E = K.Enew + V
K.E. (new) = E – V
Now, new wavelength = 


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Aparticle with initialK.E=Eand de-Broglie wavelengthλenters a r...
In the initial case (free particle)
V = 0
Total energy = E = kinetic energy
Since the total energy remains conserved
∴ E = K.Enew + V
K.E. (new) = E – V
Now, new wavelength = 


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