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JAMB UTME - Physics - 2017

Question 1 Report

Calculate the angle of minimum deviation of a 60o prism of a refractive index [sin-10.75 = 49o]
Answer Details
For a refractive index () =  sin ⁡ 1 2 ( A + D ) sin ⁡ 1 2 A

D = angle of minimum deviation

A = refractive angle of the prism

1.5 =  sin ⁡ 1 2 ( 60 + D ) sin ⁡ 1 2 × 60

1.5 =  sin ⁡ 1 2 ( 60 + D ) sin ⁡ 30

Sin  1 2  (60 + D) = 1.5 * Sin 30

Sin  1 2  (60 + D) = 0.75

1 2  (60 + D) = Sin-1 (0.75)

but Sin-1 (0.75) = 49o

1 2  (60 + D) = 49

60 + D = 2 * 49 = 98o

D = 98o - 60o

D = 38o