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Aeon
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Dependence of refractive index on pressure
Show that, in a gas (for which the refractive index is close to 1), the refractive index depends on the pressure as [tex]n_r = 1+ K\times p[/tex], and find the value of K.
[tex]n_r = 1+ K\times p[/tex]
Clausius-Mossotti equation: [tex]\frac{\epsilon_r - 1}{\epsilon_r + 2} = \frac{\rho N_a \alpha}{3M\epsilon_0}[/tex]
[tex]\alpha^'\ = \frac{\alpha}{4\pi \epsilon_0}[/tex]
[tex]n_r = \epsilon_r^{1/2}[/tex]
Any help to get me started, conceptual or mathematical, will be appreciated!
PS: I think I have posted this question in the right forum now. I had posted it in Advanced Physics before... I would have deleted my other post, but I can't.
Homework Statement
Show that, in a gas (for which the refractive index is close to 1), the refractive index depends on the pressure as [tex]n_r = 1+ K\times p[/tex], and find the value of K.
Homework Equations
[tex]n_r = 1+ K\times p[/tex]
Clausius-Mossotti equation: [tex]\frac{\epsilon_r - 1}{\epsilon_r + 2} = \frac{\rho N_a \alpha}{3M\epsilon_0}[/tex]
[tex]\alpha^'\ = \frac{\alpha}{4\pi \epsilon_0}[/tex]
[tex]n_r = \epsilon_r^{1/2}[/tex]
The Attempt at a Solution
Any help to get me started, conceptual or mathematical, will be appreciated!
PS: I think I have posted this question in the right forum now. I had posted it in Advanced Physics before... I would have deleted my other post, but I can't.
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