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  1. If the lengths of two bars of different solids are inversely proportional to their respective coefficients of linear expansions at the same initial temperature. How should I mathematically express this?

2.For the effective coefficient of linear expansion expression, I got: $L_1a_1+L_2a_2=a_eL_e$ where e is the effective length and coefficient. The question though, is how should I get an expression for either $L_1 \ or\ L_2$

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Hi Dystopian, and welcome to Physics Stack Exchange! This is actually a site for conceptual questions, not just help doing problems. We expect you to show what you've done on the problem, narrow it down to the specific concept that is giving you trouble, and ask about that - don't just ask for the solution. If you edit your question to reflect that, I'll be happy to reopen it. See our FAQ and homework-like question policy for more information. (Also, we prefer you only ask one question per post.) – David Zaslavsky♦ May 9 '12 at 18:00
3. is very simple - you have to use volumetric temperature expansion of the liquid $\beta$; 2. is unclear; 1. do what the problem says, find the lengths of two bars so that they are inversely proportional to their respective coefficients of linear expansions... – Pygmalion May 9 '12 at 18:00
I suggest you open a new question for the 3rd question asking the principle how thermometer works. 1st and 2nd questions are not appropriate here. – Pygmalion May 9 '12 at 18:08
Sorry, I'll start editing. – Dystopian May 9 '12 at 18:13
Can't answer here. It is closed... – Pygmalion May 10 '12 at 11:43

closed as too localized by Qmechanic♦, David Zaslavsky♦ May 9 '12 at 17:58

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