Physics307L:People/Giannini/Scratch Sheet: Difference between revisions
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which, upon substitution of Eq.3, we get | which, upon substitution of Eq.3, we get | ||
<math>c=\nu_1(2\lambda_1-\lambda_2)+\Delta\nu\ | <math>c=\nu_1(2\lambda_1-\lambda_2)+\Delta\nu\lambda_2\,\!</math> |
Revision as of 15:08, 14 March 2011
[math]\displaystyle{ L_1=q_1\lambda_1/2n\,\! }[/math]
[math]\displaystyle{ L_2=q_2\lambda_2/2n\,\! }[/math]
which gives us:
Eq.1 [math]\displaystyle{ c=\nu_1\lambda_1\,\! }[/math]
Eq.2 [math]\displaystyle{ c=\nu_2\lambda_2\,\! }[/math]
Now we say
Eq.3 [math]\displaystyle{ \Delta\nu=\nu_1-\nu_2\,\! }[/math]
then we can use [math]\displaystyle{ 2\cdot Eq.1 - 2\cdot Eq.2 }[/math]
which then gives us
[math]\displaystyle{ c=2\nu_1\lambda_1-\nu_2\lambda_2\,\! }[/math]
which, upon substitution of Eq.3, we get
[math]\displaystyle{ c=\nu_1(2\lambda_1-\lambda_2)+\Delta\nu\lambda_2\,\! }[/math]