The de Broglie wavelength associated with an electron, accelerated by a potential difference of $81…

The de Broglie wavelength associated with an electron, accelerated by a potential difference of $81 \mathrm{~V}$ is given by:
  1. $1.36 \mathrm{~nm}$
  2. $0.136 \mathrm{~nm}$
  3. $13.6 \mathrm{~nm}$
  4. $136 \mathrm{~nm}$

Solution

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

Asked in: NEET 2023 (Manipur)

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