The refractive index n of a piece of glass is related to the critical angle θ by n = 1/sin θ. Assume that the critical angle is measured to be 0.70 ± 0.02 rad. Estimate the refractive index, and find the uncertainty in the estimate.

Answer :

Step 1 of 3 :

Given, the refractive index n of a piece of glass is related to the critical angle

By 1 / sin

We have to assume that the critical angle is measured to be 0.70 0.02

The claim is to find the refractive index and the uncertainty in the estimate.

Step 2 of 3 :

Refractive index is n =

Where, = (0.70)

Then , n =

Sin (0.70) = 0.64421

n =

= 1.55

Therefore, refractive index n = 1.55