ECE_4300_Homework_5_October_8

# ECE_4300_Homework_5_October_8 - ECE 4300 Homework 5 October...

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ECE 4300 Homework 5 October 8, 2008 Due: Wednesday, October 15, in class This will be graded S/U. You may work with others on this assignment, but by turning in this homework, and signing your name to it, you are saying that you have done the work and understand the material. 1. The relative numbers of atoms N 1 and N 2 in two energy levels E 1 and E 2 separated by E 2 - E 1 are given at thermal equilibrium by the Boltzmann ratio. Assuming identical degeneracy for each level (g 2 =g 1 ), evaluate N 2 / N 1 for the following cases: a. An optical transition, λ =500 nm, at room temperature, 300 K b. A microwave transition, v=3 GHz, at room temperature, 300 K c. A 10 GHz transition at liquid helium temperature, 4.2 K? 2. An optical transition at λ =500 nm has a N 2 /N 1 ratio of 0.1. What is the temperature of the system? 3. Consider a transition at 500 nm with a spectral linewidth of 0.1 nm and a cavity of 2 cm 3 . a.

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## This note was uploaded on 07/09/2009 for the course ECE 4300 taught by Professor Lipson/pollock during the Fall '08 term at Cornell.

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ECE_4300_Homework_5_October_8 - ECE 4300 Homework 5 October...

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