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Question

The de-Broglie wavelength of an electron (mass 1×1030kg, charge=1.6×1019 C) with kinetic energy of 200eV is: (Planck's constant 6.6×1034J):
  1. 9.60×1011m
  2. 8.25×1011m
  3. 6.25×1011m
  4. 5.00×1011m

A
9.60×1011m
B
6.25×1011m
C
5.00×1011m
D
8.25×1011m
Solution
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The de-Broglie wavelength λ=h2mk
Given h=6.6×1034Js
m=1×1030kg
K=200eV=200×1.6×1019J
Substituting all these values
λ=6.6×10342×1×1030×200×1.6×1019
=0.825×1010=8.25×1011m

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