Applied Physics I: Chapter 7: Quantum Mechanics

Planck's Quantum Theory of Black Body Radiation

Planck derived an expression for the energy distribution, with the following assumptions.

PLANCK'S QUANTUM THEORY OF BLACK BODY RADIATION

Assumptions

Planck derived an expression for the energy distribution, with the following assumptions.

(i) A black body radiator contains electrons (or) so called simple harmonic oscillators, which are capable of vibrating with all possible frequencies.

(ii) The frequency of radiation emitted by an oscillator is the same as that of the frequency of its vibration.

(iii) The oscillators (electrons) radiate energy in a discrete manner and not in a continuous manner.

(iv) The oscillators exchange energy in the form of either absorption or emission within the surroundings in terms of quanta of magnitude 'hv' as shown in Fig. 7.3.

 (i.e.,) E = nhv

where n = 0, 1, 2, 3 .... r


This implies that the exchange of energy will not take place continuously but are limited to a dicrete set of values say 0,hv, 2hv, 3hv, 4hv, .... rhv.

(or) 0, E, 2E, 3E, ... rE, for r‒oscillators.

 

Applied Physics I: Chapter 7: Quantum Mechanics : Tag: Applied Physics : - Planck's Quantum Theory of Black Body Radiation


Applied Physics I: Chapter 7: Quantum Mechanics



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