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Question: Answered & Verified by Expert
The kinetic energy of an electron is 5 eV . Calculate the de-Broglie wavelength associated with it $\left(h=6.6 \times 10^{-34} \mathrm{Js}\right.$, $m_e=9.1 \times 10^{-31} \mathrm{~kg}$ )
PhysicsDual Nature of MatterJIPMERJIPMER 2004
Options:
  • A $5.47 Å$
  • B $10.9 Å$
  • C $2.7 Å$
  • D None of these
Solution:
1620 Upvotes Verified Answer
The correct answer is: $5.47 Å$
Wavelength associated with an electron
$\lambda=\frac{h}{\sqrt{2 m E}}$
$\begin{aligned} & =\frac{6.6 \times 10^{-34}}{\sqrt{2 \times 9.1 \times 10^{-31} \times 5 \times 1.6 \times 10^{19}}} \\ & =5.47 \times 10^{-10} \mathrm{~m}=5.47 Å\end{aligned}$

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