A particle is "thermal" if it is in equilibrium with its surroundings - its average kinetic energy would be - kBT. 2 (a) Show that the wavelength of a thermal particle is λ = h √3mkBT (b) What is the wavelength of a room-temperature (22°C) electron? (Ans: 6.29nm) (c) Of a room-temperature proton? (Ans: 0.147nm) (d) In what circumstances should each behave as a wave at this temperature?
A particle is "thermal" if it is in equilibrium with its surroundings - its average kinetic energy would be - kBT. 2 (a) Show that the wavelength of a thermal particle is λ = h √3mkBT (b) What is the wavelength of a room-temperature (22°C) electron? (Ans: 6.29nm) (c) Of a room-temperature proton? (Ans: 0.147nm) (d) In what circumstances should each behave as a wave at this temperature?
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I just need help with part d of this problem
Transcribed Image Text:A particle is "thermal" if it is in equilibrium with its surroundings - its average kinetic energy would be kBT.
2
h
(a) Show that the wavelength of a thermal particle is =
3mkBT
(b) What is the wavelength of a room-temperature (22°C) electron? (Ans: 6.29nm)
(c) Of a room-temperature proton? (Ans: 0.147nm)
(d) In what circumstances should each behave as a wave at this temperature?
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