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NEET 2012
Exam
NEET
Year
2012
Subject
Physics
Chapter
Dual Nature of Matter

NEET 2012 · Physics · Dual Nature of Matter

If the momentum of an electron is changed by p , then the...

If the momentum of an electron is changed by pp, then the de-Broglie wavelength associated with it changes by 0.5%0.5 \%. The initial momentum of electron will be

Options

  1. A200p200 p
  2. B400p400 p
  3. Cp200\frac{p}{200}
  4. D100p100 p

Correct answer

A. 200p200 p

Step-by-step solution

de-Broglie wavelength Hereλ=hp∣Δλλ∣=∣Δpp∣0.5100=ppipi=1000.5ppi=200p\begin{aligned} \lambda& =\frac{h}{p}\\ \left|\frac{\Delta \lambda}{\lambda}\right|& =\left|\frac{\Delta p}{p}\right|\\ \frac{0.5}{100}& =\frac{p}{p_i}\\ p_i & =\frac{100}{0.5}p \\ p_i & =200 p \end{aligned}
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