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Fully worked solutions willbe appreciated :) Part B (Advanced) An electron trave

ID: 3280723 • Letter: F

Question

Fully worked solutions willbe appreciated :)

Part B (Advanced) An electron traveling at a speed of 1.40 x 106 ms-1 collides with an atom of element X. Shortly thereafter the atom emits a photon with a wavelength of 1240 nm. (a) What was the electron's de Broglie wavelength before the collision? (b) Would you expect a further photon to be emitted from element X? If not-why not? If so what wavelength would the photon bei? (c) Assuming that the atom's recoil in the collision is negligible, what is the electron's speed after the collision? (d) Imagine an electron and a proton are each accelerated from rest through a potential difference of 2000 V Afterward, which particle has the larger de Broglie wavelength? Explain

Explanation / Answer

a) Ke = 0.5mv^2

= 0.5*9.11*10^-31*(1.4*10^6)^2

= 8.93*10^-19 J = hc/lamada

lamda = 6.626*10^-34*3*10^8 / 8.93*10^-19

= 2.22*10^-7 m

= 222 nm