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Rokon117

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**1. The problem statement, all variables and given/known**

## Homework Equations

show that a hydrogen gas cloud at 10000K is about twice as optically thick at the Balmer limit compared with the Paschen limit. Assume that the H atoms are in Local Thermodynamic Equilibrium, the Gaunt factor is unity at all energy levels, and include absorption by H to levels up to n=10. Note that hf1/k=1.578*10^5K for lyman limit photon of frequency f1.

## The Attempt at a Solution

an(f)=[64/(3*3^0.5) A] (pi a0^2)n(fn/f)^3 gbf(n)

gbf(n)=1

sorry just don't know how to type those symbols