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

What is the speed of a particle of mass 10-27kg whose wavelength is 10-8m.
[h = 6.63 x 10-34Js]
  • A.
    6.63ms-1
  • B.
    66.30ms-1
  • C.
    663.00ms-1
  • D.
    6630.00ms-1
Correct Answer: Option 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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