an electron moves with a speed of 2 0 x 106ms-1... - WAEC Physics 2010 Question
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 option: c
\(\lambda = \frac{hc}{\frac{1}{2}mv^2} = \frac{6.6 \times 10^{-38} \times 3 \times 10^8}{\frac{1}{2} \times 9.1 \times 10^{-31} (2 \times 10^6)^2}\)
= 4.24 x 10-8m
= 4.24 x 10-8m
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