# 89uj

by mkania
Tags: 89uj
 P: 1 Okay, here is my approach. Let me know if you think it makes sense. We have c = f\lambda and $$c = \sqrt{(\gamma RT)/M}$$. In the fundamendal mode, \lambda = 2L. So 2f_\mathrm{He}L = \sqrt{(\gamma_\mathrm{He}RT)/M_\mathrm{He}} (1) and 2fL = \sqrt{(\gamma_\mathrm{air}RT)/M_\mathrm{air}} (2) Dividing (1) by (2), f_\mathrm{He}/f = \sqrt{(\gamma_\mathrm{He}M_\mathrm{air})/(\gamma_\mathrm{air}M_\mathrm{He})} so f_\mathrm{He} = f\sqrt{(\gamma_\mathrm{He}M_\mathrm{air})/(\gamma_\mathrm{air}M_\mathrm{He})}
 P: 212 your latex is f---ed up