Calculate the wavelength of an electron moving with a velocity of 2.05 × 107 m s–1.

Given:

Velocity of electron = 2.05 × 107 m s–1


According to the de Broglie’s Equation:


λ = h/mv


Where,


λ = wavelength of moving particle


m = mass of electron


v= velocity of particle


h= Planck’s constant [6.62× 10-34]


λ = {[6.62× 10-34] / [9.1× 10-31] × [2.05 × 107]}


= {[6.62× 10-34] / [1.8655 × 10-23]


= 3.552× 10-11 m


Therefore, the wavelength is 3.55× 10-11 m


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