Question

A stream of electrons (with a non-zero momentum) are shot at a double slit with a width of 65pm and separated by a distance of 65nm. What would be the momentum of the electrons if the 3rd maximum from the center line on a screen 1m distance (away from the slits) is 200micrometers?

Answer 1

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als v. we know Condition for angular postion of nth maxima from the central linein for the wavesincidenton double slits is na sin d n= order of maxima 2= debrogli wavelength of electron beam slit seperation =d=65 nm the angular postion of maxima of order n = 3 from thecentreof screen is =0, 31 =>sin, d 200um given tan => =0.01146° 1.Om 32 =>sin(0.01146)= d => A=4.333e - 12 m debrogli wavelength of the electron is related to the momentum p as h p== consider h=6.626x1034 Js a = = = 3 m p=1.529e-022 kg S