P-Chem II Course HWK 2

P-Chem II Course HWK 2 - CHM4411-02 [Phys-Chem. II], Spring...

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1 CHM4411-02 [Phys-Chem. II], Spring 2012 Instructor: H. Mattoussi Homework 2 (Fri. Jan 20, due date: Wed. Jan 25, 2012) Your name: ----------------------------- Exercice 1: (4 points) To explain the black body radiation, Rayleigh-Jeans developed a model based on calculating the number of modes resulting from standing electromagnetic waves in a cubic cavity of length L. Using the Cartesian coordinates x,y,z, the waves must satisfy the Maxwell equation: 2 2 2 2 2 2 2 2 2 1 t E c z E y E x E = + + (1) Using the boundary conditions for a cubic cavity: E=0 at x=L, y=L, z=L show that the time- dependent electric field expressed as: × × × = λ ct π L z π n L y π n L x π n E E 2 sin sin sin sin 3 2 1 0 , satisfies equation (1). Here, λ is the wavelength of the electromagnetic radiation and c is speed of light. 1) Plug the expression of E in equation (1) to derive an expression for the total number of modes
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This note was uploaded on 03/18/2012 for the course CHM 4411 taught by Professor Dr.matoussi during the Spring '12 term at Florida State College.

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P-Chem II Course HWK 2 - CHM4411-02 [Phys-Chem. II], Spring...

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