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
Verified Correct Answer: C.
Physical Principles & Numerical Solution
\(\lambda = \frac{hc}{\frac{1}{2}mv^2}\)
= \(\frac{6.6 x 10^{-34} \times 3 \times 10^8}{0.5 \times 9.1 \times 10^{-3} (10^7)^2}\)
= 7.25 x 10-11m
Source: Myschool Past Questions Archive (Record #35221)