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An electron of mass 9.1x 10\(^{-31}\) kg is travelling at a speed of 2.0 x...

Physics
WAEC 2020

An electron of mass 9.1x 10\(^{-31}\) kg is travelling at a speed of 2.0 x 10\(^6\)ms\(^{-1}\). Calculate the associate wavelength of the electron. [h = 6.6. x 10\(^{-34}\) Js]

  • A. 3.63 x10\(^{-10}\) m
  • B. 3.63 x 10\(^{-8}\) m
  • C. 3.63 x 10\(^{-7}\) m
  • D. 6.89 x 10\(^{-4}\) m
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Correct Answer: Option A
Explanation

Using de Broglie wavelength formula:  \(\lambda\) = \(\frac{h}{p}\)

P = momentum = mass x velocity = 9.1x 10\(^{-31}\) x 2.0 x 10\(^6\) = 1.82 × 10\(^{ −24}\) kg m/s

\(\lambda\) = \(\frac{6.6. \times 10^{-34}}{1.82 \times 10^{ −24}}\) = 3.63 x 10\(^{-10}\) m


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