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A plane mirror is used to trace out an incident beam and a reflected beam. The a

ID: 1604006 • Letter: A

Question

A plane mirror is used to trace out an incident beam and a reflected beam. The angle of incidence is measured to be (12.5 plusminus 0.5) degree and the angle of reflection is measured to be (13.0 plusminus 0.5) degree Do these agree within uncertainty? A ray is incident upon a Plexiglas block. The angle of incidence is (22.0 plusminus1.0) degree. The refracted ray is measured to be (15.0 plusminus 1.0) degree. Use Snell's law to calculate the index of refraction for the Plexiglas (including uncertainty). Compare n_r as calculated in part with the accepted value of n_r for Plexiglas of 1.5.

Explanation / Answer

1) angle of incidence = angle of reflection

But that is not true according to the given values

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2)

Quotient rule:

R = A/B

=> R/R = A/A + B/B

Index of refraction(n) = Sin(i) / Sin(r)

where, i = angle of incidence, r = angle of refraction

i = 220 , i = 10 = 0.0174 radians, r = 150, r = 10 = 0.0174 radians

n = sin(i)/sin(r) = sin(220)/sin(150) = 1.447

n/n = [i*cos(i)/sin(i)] + [r*cos(r)/sin(r)]

=> n/1.447 = 0.043 + 0.065

=> n = 0.156

index of refraction = (1.447 +- 0.156)

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