Refractive index of light from permittivity

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Taylor_1989
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Homework Statement


Given that the relative magnetic permeability and relative electric permeability of water are respectively, ##\mu_{rel}=1## and ##\epsilon=1.769## calculate the following 6 parameters.

1. Index of refraction of water ## n ##

2. speed of electromagnetic waves in water ## c ##

3. Value of permittivity of water ##\epsilon##

4. Value of permeability of water ##\mu##

5. electrical susceptibility of water ## X_{e} ##

6. magnetic susceptibility of water ## X_{m}##

Homework Equations


##c^2=\frac{c_0^2}{\epsilon _r\:\mu _r},\:where\:c_0^2=\frac{1}{\epsilon _0\:\mu _0}##

The Attempt at a Solution


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Normall I would put my working up but I have been looking at this question for well over an hour and can't really make a start, I originally through that looking at Maxwell equation for a light wave would help but that just showed me the equations above. I then through well ##n=\frac{c}{v}=\frac{c_0}{c}=\sqrt{\mu _r\epsilon _r}## but this gave me 1.1 so that was a no go, at that all I have, I just done know how to start this type of question off can some give a nudge in the right direction please. I am quite new to all this so, is it possible not to go too deep straight away, thanks in advance.
 
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Taylor_1989 said:
I then through well ##n=\frac{c}{v}=\frac{c_0}{c}=\sqrt{\mu _r\epsilon _r}## but this gave me 1.1 so that was a no go
How did you get 1.1? What values did you use for ##\mu _r## and ##\epsilon _r##?
 
The values I used 1 and 1.769 as shown in the question