According to Plancks Radiation Law, the amount of electromagnetic energy with frequency

Chapter 7, Problem 95

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According to Plancks Radiation Law, the amount of electromagnetic energy with frequency between and + that is radiated by a so-called black body at temperature T is proportional to F() , where F() = 8h c3 3 eh/kT 1 where c, h, k are physical constants. Use Exercise 94 to show that the total radiated energy E = 0 F() d is finite. To derive his law, Planck introduced the quantum hypothesis in 1900, which marked the birth of quantum mechanics.

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