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(c) Of a room-temperature proton? (Ans: 0.147nm) (d) In what circumstances should each behave as a wave at this temperature?

(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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This is a multiple step problem, I just need help with the explanation for part d all the other parts have been complete with the answer present to better help answer the question.

A particle is "thermal" if it is in equilibrium with its surroundings - its average kinetic energy would be - kgT. 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?
Transcribed Image Text:A particle is "thermal" if it is in equilibrium with its surroundings - its average kinetic energy would be - kgT. 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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