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Physics · PYQ NEET UG 2020

हिन्दी

An electron is accelerated from rest through a potential difference of \( V \) volt. If the de Broglie wavelength of the electron is \( 1.227 \times 10^{-2}\text{ nm} \), the potential difference is:

  1. \( 10^2\text{ V} \)
  2. \( 10^3\text{ V} \)
  3. \( 10^4\text{ V} \)
  4. \( 10\text{ V} \)

Correct answer · Option 3

\( 10^4\text{ V} \)

Explanation

Using the formula for de Broglie wavelength of an electron: \( \lambda = \frac{12.27}{\sqrt{V}}\text{ Å} = \frac{1.227}{\sqrt{V}}\text{ nm} \). Given \( \lambda = 1.227 \times 10^{-2}\text{ nm} \), we get \( \sqrt{V} = 100 \implies V = 10^4\text{ V} \).
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