A physicist wants to prove that electrons can behave as waves by observing a diffraction pattern...

A physicist wants to prove that electrons can behave as waves by observing a diffraction pattern when a beam of electrons hits a metallic crystal of atomic spacing d. After accelerating the electrons from rest with an applied voltage V1, a strong peak in the scattering is seen in the first order at an angle θ1 from the surface. She then doubles the voltage and observes as strong first-order peak at a different angle θ2 , again confirming the wave nature of the electrons.

a) What is the ratioλ2/λ1 of the electron wavelength (express in 3 sig figs)? Here λ1 is the deBroglie wavelength for V1 and λ2 is the same with double the voltage.

b) If θ1 = 60.0 degrees, what is θ2 ? (deg)

c) If the speed of the electrons is 4.67 x 106 m/s for θ1 = 60.0 degrees, what is the crystal spacing d? (nm)

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genius_generous answered 1 year ago

A physicist wants to prove that electrons can behave as waves by observing a diffraction pattern...

A physicist wants to prove that electrons can behave as waves by observing a diffraction pattern when a beam of electrons hits a metallic crystal of atomic spacing d. After accelerating the electrons from rest with an applied voltage V1, a strong peak in the scattering is seen in the first order at an angle θ1 from the surface. She then doubles the voltage and observes as strong first-order peak at a different angle θ2 , again confirming the wave...

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A physicist wants to prove that electrons can behave as waves by observing a diffraction pattern...

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A physicist wants to prove that electrons can behave as waves by observing a diffraction pattern...

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