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Wave Optics

Question
CBSEENPH12039824

If the momentum of an electron is chagned by p, then the de-Broglie wavelenght associated with it changes by 0.5%. The initial momentum of electron will be

  • 200p

  • 400p

  • p/200

  • 100p

Solution

A.

200p

de minus space Broglie space wavelength space
straight lambda space equals space straight h over straight p
Here
open vertical bar fraction numerator increment straight lambda over denominator straight lambda end fraction close vertical bar space equals space open vertical bar fraction numerator increment straight p over denominator straight p end fraction close vertical bar
fraction numerator 0.5 over denominator 100 end fraction space equals space straight p over straight p subscript straight i
straight p subscript straight i space equals space fraction numerator 100 over denominator 0.5 end fraction straight p
straight p subscript straight i space equals 200 straight p

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