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.

Respuesta :

Answer:

[tex]v=2.24\times 10^{8}\ m/s[/tex]

Explanation:

Given that,

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

[tex]v=\dfrac{1}{\sqrt{k\mu_o\epsilon_o}}[/tex]

Where

k is the dielectric constant of the substance.

v is the speed of light in water

[tex]c=\dfrac{1}{\sqrt{1.78\times 4\pi \times 10^{-7}\times 8.85\times 10^{-12}}}[/tex]

[tex]v=2.24\times 10^{8}\ m/s[/tex]

So, the speed of light in water is [tex]2.24\times 10^{8}\ m/s[/tex]

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