What is the speed of a particle of mass 10-27kg whose wavelength is 10-8m. [h…

Physics JAMB 1999

What is the speed of a particle of mass 10-27kg whose wavelength is 10-8m.

[h = 6.63 x 10-34Js]

  • 6.63ms-1
  • 66.30ms-1 checkmark
  • 663.00ms-1
  • 6630.00ms-1

The correct answer is: B

Explanation

Energy of a particle is given by
E = hf = hV/λ (since V = fxλ)
But in terms of mass M, E = ∆MV2
∎ ∆MV2 = hV/λ
∆MV = h/λ
∎ V = h/λ∆M
V = 6.63 x 10-34/(10-27 x 10-8)
V = 6.63 x 10-34/10-35
V = 6.63 x 10-34+35
V = 6.63 x 10
V = 66.3ms-1
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