4(i)
The diagram below shows the ray OP travelling through an equilateral prism of a certain material.
(a) Calculate the value of i2, if the angle of deviation is 43°.
(b) What is the ray QS called?

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(a) Given,
angle of prism (A) = 60° for an equilateral prism.
angle of incidence (i1) = 65°
Angle of deviation (δ) = 43°
𝑒 = i2 = ?
From formula,
Angle of deviation (δ) = 𝑖 + 𝑒 − 𝐴
Substituting the values we get:
43 = 65 + i2 - 60°
i2 = 43 - 5 = 38°
Hence, i2 = 38°
(b) Emergent ray