Single Choice

The wavelength of an electron moving with velocity of $$10^7ms^{-1}$$ is:

A$$7.27\times 10^{-11} m$$
Correct Answer
B$$3.55\times 10^{-11} m$$
C$$8.25\times 10^{-4} m$$
D$$1.05\times 10^{-16} m$$

Solution

According to de Broglie's equation, $$\lambda =\frac{h}{mv}$$

Where, $$\lambda =$$ de-Broglie wavelength and $$h=6.626 \times 10^{−34}Js$$=Planck's constant

$$m=$$mass of electron$$=9.1 \times 10^{-31}$$ kg and $$v=$$ velocity$$=10^7$$ m/s

upon substitution we get:

$$\lambda =\frac{6.626 \times 10^{−34}\times 3600}{9.1 \times 10^{-31} \times 10^7}$$

$$\lambda=0.727 \times 10^{−10}=7.27 \times 10^{−11}$$m

Hence, the correct option is $$A$$

SIMILAR QUESTIONS

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