Compute the speed of EM waves in water. I did the problem, but am not sure if Id

Question

Compute the speed of EM waves in water. I did the problem, but am not sure if Idid it right. I used the equationc=1/k00, with k being thedielectric constant of water, 80, and getting an answer of33,525,745.13 m/s. Is this the right equation to use? When do youuse this equation? I am getting it confusedwith n1sin1=n2sin2,which equals n1v1=n2v2,which equalsv1/v2=n2/n1, whichequals v1=n1/n2 x c,where 1 is the medium and 2 is the vacuum. Should I use the blueequation instead to determine the velocity of EM waves in themedium? Compute the speed of EM waves in water. I did the problem, but am not sure if Idid it right. I used the equationc=1/k00, with k being thedielectric constant of water, 80, and getting an answer of33,525,745.13 m/s. Is this the right equation to use? When do youuse this equation? I am getting it confusedwith n1sin1=n2sin2,which equals n1v1=n2v2,which equalsv1/v2=n2/n1, whichequals v1=n1/n2 x c,where 1 is the medium and 2 is the vacuum. Should I use the blueequation instead to determine the velocity of EM waves in themedium?

Explanation / Answer

use k = 80, 0 = 8.854187917*10-12 F/m,0 = 1.2566370614 N/A2 get v = 1/(k00) =3.351781576*107 m/s BUT it is not correct value of the speed of light in water. k = 80is the static value of the permeability. For a light with very highfrequency, k is not 80. We can use v = c/n. For water n = 1.33, so actual speed of light inwater is v = 299792458/1.33 = 2.25*108 m/s.

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