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Dual Nature of Radiation and Matter question

2012 · Q85
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Dual Nature of Radiation and Matter question

2012 · Q85

NEETPhysicsDual Nature of Radiation and MatterMCQ+4 / −1
If the momentum of an electron is changed by P, then the de Broglie wavelength associated with changes by 0.5%. The initial momentum of electron will be
  1. A
    200 P
  2. B
    400 P
  3. C
    P200{P \over {200}}200P​
  4. D
    100 P
View written solutionFree

Correct answer: A

de Broglie wavelength associated with an electron is

λ=hP\lambda = {h \over P}λ=Ph​

⇒\Rightarrow⇒ P = hλ{h \over \lambda }λh​

ΔPP=−Δλλ{{\Delta P} \over P} = - {{\Delta \lambda } \over \lambda }PΔP​=−λΔλ​

PPinitial=0.5100{P \over {{P_{initial}}}} = {{0.5} \over {100}}Pinitial​P​=1000.5​

Pinitial = 200P

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