A ray is incident upon plexiglas block. The angle of incidence is (22.0\\pm1.0\\

Question

A ray is incident upon plexiglas block. The angle of incidence is (22.0pm1.0)degrees. The refracted ray is measured to be   (15.0pm1.0)degrees. A) use snell's law to calculate the index of refraction for the plexiglas (including uncertainty). (Hint: Note the uncertainty of the angle in the propagation formulas must be in units of Radians. Also, use the error propagation formulas for functions.) B. Compare index of refraction as calculated in part A) with the accepted value of index of incidence for Plexiglas of 1.5.

Explanation / Answer

the snells law is,

sini/sinr=u

but sin(22+_1)/sin(15+_1)=u

or relative error=cos22*sin1

=0.016

relative error in refraction=0.0168

so the net error=0.0328

so u=1.447+_0.047

B)it is less than the accepted value

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