In an undergraduate version of the Davisson-Germer experiment, electrons are acc

Question

In an undergraduate version of the Davisson-Germer experiment, electrons are accelerated through several potential differences. (a)If the potential difference K1= 19V , find the corresponding de Broglie wavelength (b)If the potential difference K1 = 19V , find the corresponding electron speed. (c)If the potential difference K2= 24V , find the corresponding de Broglie wavelength (d) If the potential difference K2= 24V , find the corresponding electron speed. (e)If the potential difference K3= 61V , find the corresponding de Broglie wavelength (f)If the potential difference K3= 61V , find the corresponding electron speed.

Explanation / Answer

a. K1= 19 V
= h/ mv

= h/ sqrt( 2m KE)

KE = eV = 19 X 1.6 X 10^-19

m = 9.1 X 106-31 kg

h= planks constant.

= 2.8 X 10^-10 meters.

b. 1/2 mv^2 = eV

v= sqrt(2eV/m ) = 3157089.34 m/s

c. put V= 24

d. put V= 24

e.put V= 61

f. put V= 61

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