Part A Find the de Broglie wavelength of an electron traveling through free spac

Question

Part A

Find the de Broglie wavelength of an electron traveling through free space with speed 3.2 105 m/s, the speed after acceleration from rest through a 0.3 V potential.

Express your answer to two significant figures and include the appropriate units.

Part A

Find the de Broglie wavelength of an electron traveling through free space with speed 3.2 105 m/s, the speed after acceleration from rest through a 0.3 V potential.

Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

de Broglie wavelength   = h/mv

h =  6.626 10^-34 Js

m = mass of electron = 9.109 10^-31 kg

v = speed of electron = 3.2 10^5 m/s

Then, de Broglie wavelength of electron

= h/mv

= [6.626 10^-34 Js] / [ 9.109 10^-31 kg x 3.2 10^5 m/s ]

= 0.23 x 10-8 m

    = 0.23 x 10-8 m

Therefore,  de Broglie wavelength of electron = 0.23 x 10-8 m

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