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NEET 2023
Exam
NEET
Year
2023
Subject
Physics
Chapter
Dual Nature of Matter

NEET 2023 · Physics · Dual Nature of Matter

The de Broglie wavelength associated with an electron, accelerated...

The de Broglie wavelength associated with an electron, accelerated by a potential difference of 81 V81 \mathrm{~V} is given by:

Options

  1. A1.36 nm1.36 \mathrm{~nm}
  2. B0.136 nm0.136 \mathrm{~nm}
  3. C13.6 nm13.6 \mathrm{~nm}
  4. D136 nm136 \mathrm{~nm}

Correct answer

B. 0.136 nm0.136 \mathrm{~nm}

Step-by-step solution

We know, for an electron De Broglie wavelength, λ=12.27vA˚\lambda=\frac{12.27}{\sqrt{v}} Åλ=12.2781=12.279A˚λ=1.36A˚ or 0.136nm\begin{aligned} & \lambda=\frac{12.27}{\sqrt{81}}=\frac{12.27}{9} Å \\ & \lambda=1.36 Å \text{ or } 0.136 \mathrm{ nm}\end{aligned}$$
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