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NEET 2020
Exam
NEET
Year
2020
Subject
Physics
Chapter
Dual Nature of Matter

NEET 2020 · Physics · Dual Nature of Matter

An electron is accelerated from rest through a potential difference...

An electron is accelerated from rest through a potential difference of VV volt. If the de Broglie wavelength of the electron is 1.227×10–2nm1.227 \times {10}^{– 2}nm, the potential difference is:

Options

  1. A102V{10}^{2}V
  2. B103V{10}^{3}V
  3. C104V{10}^{4}V
  4. D10V10V

Correct answer

C. 104V{10}^{4}V

Step-by-step solution

λ=1.227×10−2nm\lambda = 1 . 227 \times {10}^{- 2}nm

=0.1227A˚= 0 . 1227Å

λ=12.27vA˚\lambda = \dfrac{12 . 27}{\sqrt{v}}Å

0.227=12.27vA˚0 . 227 = \dfrac{12 . 27}{\sqrt{v}}Å

v=102⇒v=104\sqrt{v} = {10}^{2} ⇒ v = {10}^{4} volt

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