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Question

A particle X moving with a certain velocity has a de-Broglie wavelength of 1A0. If particle Y has a mass of 25 % that of X and velocity 75% that of X, de Broglie's wavelength of Y will be:
  1. 3Ao
  2. 5.33Ao
  3. 6.880Ao
  4. 48Ao

A
5.33Ao
B
6.880Ao
C
3Ao
D
48Ao
Solution
Verified by Toppr

According to question,

mY=mX×25100=0.25mX

and vY=vX×75100=0.75vX

De brogile wavelength λ=hmv

λX=1A0=hmX×vX

λY=h(0.25mX×0.75vX)=5.33hmX×vX=5.33A0

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