An electron of mass 9.1 x 10-31 kg moves with a speed of 107ms-1. Calculate the wavelength of the associates wave[h = 6.6 x 10-34Js]

A.

9.0 x 10-24m

B.

4.55 x 10-17m

C.

7.25 x 10-11m

D.

6.20 x 10-8m

View answer & explanation

Correct answer is C

\(\lambda = \frac{hc}{\frac{1}{2}mv^2}\)

= \(\frac{6.6 x 10^{-34} \times 3 \times 10^8}{0.5 \times 9.1 \times 10^{-3} (10^7)^2}\)

= 7.25 x 10-11m

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