Answer:
Explanation:
According to Snell's law, the ratio of the sine of angle of incidence to the sine of angle of refraction is a constant for a given pair of media. The constant is known as the refractive index.
Mathematically [tex]\frac{sin i}{sin r} = n[/tex]
i = angle of incidence measured = 63.5°
r = angle of refraction measured = 32°
n = refractive index
[tex]n = \frac{sin 63.5^{0} }{sin 32^{0} } \\n = \frac{0.8949}{0.5299}\\ n = 1.69[/tex]
The index fraction calculated is approx. 1.69.
If the index of refraction of a clear plastic as listed in the book is 1.89 and the calculated is 1.69, the percentage error will be calculated as thus;
%error = [tex]\frac{1.89-1.69}{1.89} * 100[/tex]
%error = [tex]\frac{0.2}{1.89}*100[/tex]
%error = [tex]\frac{20}{1.89}[/tex]
%error = 10.58%
