Problem 12E

According to Snell’s law, the angle of refraction θ2 of a light ray traveling in a medium of index of refraction n is related to the angle of incidence θ1 of a ray traveling in a vacuum through the equation sin θ2 = n sin θ2. Assume that θ1 = 0.3672 ± 0.005 radians and θ2 = 0.2943 ± 0.004 radians. Estimate n, and find the uncertainty in the estimate.

Answer :

Step 1 of 3 :

Given,

From the Snell’s law, the angle of refraction of a light ray traveling in a medium of index of refraction n is related to the angle of incidence of a ray travelling in a vacuum through the equation = n sin

We have, = 0.36720.005radians and = 0.29430.004 radians.

The claim is to estimate n and the uncertainty in the estimate.