What is the de Brogile wavelength of an electron that strikes the back of the face of a TV screen at 0.1 the speed of light? The speed of light is 2.998 × 108 m/s. Answer in units of m.

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Jul 15th, 2015

De Broglie wavelength , L=(h/mv)sqrt(1- (v/c)^2)
h= Planck's constant (6.63 x 10^(− 34) joule-seconds
m - rest mass of the electron (9.1x10^(-31) kg
v - velocity of the electron (m/s) = 0.1C
c - the speed of light (2.99 E+8 m/s)

L= (6.63x10^(− 34) x 10/ (9.1x10^(-31) x 2.99 x10^(8) sqrt(1-(1/10)^2) L=2.5x 10^(-11) m
L=250 nm