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NEET 2019
Exam
NEET
Year
2019
Subject
Physics
Chapter
Dual Nature of Matter

NEET 2019 · Physics · Dual Nature of Matter

An electron is accelerated through a potential difference of...

An electron is accelerated through a potential difference of 10,000V.10,000V . Its de Broglie wavelength is (nearly): (me=9×10−31kg)\left({m}_{e} = 9 \times 1{0}^{- 31}kg\right)

Options

  1. A12.2×10−13m12.2 \times {10}^{- 13}m
  2. B12.2×10−12m12.2 \times {10}^{- 12}m
  3. C12.2×10−14m12.2 \times {10}^{- 14}m
  4. D12.2nm12.2nm

Correct answer

B. 12.2×10−12m12.2 \times {10}^{- 12}m

Step-by-step solution

The energy of electron KK=104eV= {10}^{4}eV
λ=hmv=h2mK=6.63×10−342×9.1×10−31×104×1.6×10−19≅12.2×10−12m\lambda = \dfrac{h}{mv} = \dfrac{h}{\sqrt{2mK}} = \dfrac{6 . 63 \times {10}^{- 34}}{\sqrt{2 \times 9 . 1 \times {10}^{- 31} \times {10}^{4} \times 1 . 6 \times {10}^{- 19}}} ≅ 12.2 \times {10}^{- 12}m
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