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]

3.63 x 10^-19m

6.51 x 10^-9m

4.24 x 10^-8m

7.25 x 10^-8m

Correct answer is 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

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Aptitude Tests

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]