In an experiment to find the index of refraction, n, of a block of glass, the angle of incidence, θi , and angle of refraction, θr , were measured a number of times as follows:
θi 10◦ 20◦ 30◦ 40◦ 50◦
θr 7.0 ◦ 13.5 ◦ 20.0 ◦ 25.5 ◦ 31.0 ◦
calculate the index of refraction n with its uncertainty. Are your answer consistent with the manufacturer’s claim that n = 1.50? Explain.
n = sinθi/sinθr
The Attempt at a Solution
I managed to find some answers that are similar to this question and how it approach the question is to calculate the individual index n, which in this case 5 of them and then calculate the uncertainty. But the problem is that the question I refer to, provides the uncertainty for both θi and θr which makes it easy to compare with the n=1.5 that the question wants to compare.
So how do I find the uncertainty for each of the index of refraction without any uncertainty given for θi and θr for my question? Sorry, I was given an assignment on this and I have never learned this before so any help is appreciated.