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4. Plank assumed that the energies of the electronic oscillators in a blackbody can have only the values and that . As, , and E

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4. Plank assumed that the energies of the electronic oscillators in a blackbody can have only the values and that . As, , and E is essentially continuous. Thus, we should expect the classical Rayleigh-Jeans distribution at low frequencies, where. Show that equation 1.2 in the textbook reduces to equation 1.1 as . (Recall that when x is small.) 4. Plank assumed that the energies of the electronic oscillators in a blackbody can have only the values E=nhv and that E=hv. As v0,E0, and E is essentially continuous. Thus, we should expect the classical Rayleigh-Jeans distribution at low frequencies, where E0. Show that equation 1.2 in the textbook reduces to equation 1.1 as v0. (Recall that ex=1+x+2!x2+, or ex=1+x when x is small.)

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