Question

An electron has a de Broglie wavelength of 215 nm, what is the speed of the electron?

Answer #1

According to de Broglie wave length, = h/mv

Where

h = plank's constant = 6.625x 10^{-34} Js

= wave length =
215 nm = 215 x10^{-9} m

m = mass of electron = 9.1x10^{-31} kg

v = velocity of object = ?

Plug the values we get v = h / m

= ( 6.625x 10^{-34} Js) / ( 9.1x10^{-31} kgx 215
x10^{-9} m)

= 3386 m/s

Therefore the speed of electron is 3386 m/s

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