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What is the speed of a particle of mass 10-27kg... - JAMB Physics 1999 Question

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 option: b

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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