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An electron moves with a speed of 2.0 x 106ms

An electron moves with a speed of 2.0 x 106ms-1 in a straight line. Calculate the wave length of the electron wave. [mass of an electron = 9.1 x 10-31 kg][Planck's constant = 6.6 x 10-34Js]

A.

3.63 x 10-19m

B.

6.51 x 10-9m

C.

4.24 x 10-8m

D.

7.25 x 10-8m

Correct answer is C

λ=hc12mv2=6.6×1038×3×10812×9.1×1031(2×106)2

= 4.24 x 10-8m