Light is incident from air onto the surface of a liquid. The angle of incidence

Question

Light is incident from air onto the surface of a liquid. The angle of incidence is 60.0

Light is incident from air onto the surface of a liquid. The angle of incidence is 60.0°, and the angle of refraction is 30.0°. What is the speed of the light in the liquid? My work: n = c / v --> so if i'm looking for v --> v = c / n then I use the equation tan(theta) = nb/na --> i'm solving for na which I will plug into the previous equation as n and find v but I get na to be 0.57 which isn't possible.

Explanation / Answer

from snells law

n1*sin theta1 = n2*sintheta2

1*sin60 = n2*sin30

n2 = 1.732

v = c/n2 = 3e8/1.732 = 1.73*10^8 m/s         <<<<_-----------answer

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