Question

The speed of an electromagnetic wave traveling in a transparent nonmagnetic substance is v = 1/ κμ0ε0 , where κ is the dielectric constant of the substance. Determine the speed of light in water, which has a dielectric constant of 1.78 at optical frequencies.

Answer 1

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Step-by-step explanation:

Answer 2

`v=2.24* 10^(8)\ m/s`

Step-by-step explanation:

Given that,

The speed of an electromagnetic wave traveling in a transparent nonmagnetic substance is given by :

`v=(1)/(√(k\mu_o\epsilon_o))`

Where

k is the dielectric constant of the substance.

v is the speed of light in water

`c=\frac{1}{\sqrt{1.78* 4\pi * 10^(-7)* 8.85* 10^(-12)}}`

`v=2.24* 10^(8)\ m/s`

So, the speed of light in water is
`2.24* 10^(8)\ m/s`