The limiting angle of total reflection for alcohol is 47 degrees. Find the refractive index of alcohol.

Refractive index of alcohol according to Snell’s law (the law of refraction of light):
sin A is the sine of the angle in the air, because the angle is limiting, then A = 90 degrees, and sine = 1
sin 47 – sine of an angle of 47 degrees in alcohol
n is the refractive index of alcohol
SinA / Sin47 = n
n = 1 / 0.73 = 1.367 = 1.37
Answer: n = 1.37



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