Finding Index of Refraction (n) Using θi and θr

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To find the index of refraction (n) of glass, the relationship n = sin(θi)/sin(θr) is used, where θi is the angle of incidence and θr is the angle of refraction. The angles were measured at various degrees, and the next step involves calculating n for each pair of angles. Graphing the data can help visualize the relationship and identify trends. The final estimate for n should include uncertainty and be reported with the correct number of significant figures. The discussion emphasizes the importance of accurately applying the formula and analyzing the data.
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1. 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°

Given that the relationship between n, θi and θr is:
n =sin θi/sin θr

Calculate the best estimate for n with its uncertainty, and state the nal result with the
appropriate number of significant figures.

can someone explain to me how to form the equation?
 
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What have you come up with so far? You are given the equation to use for this.
 
You might start by graphing your data...
 
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