A thin glass prism has refractive index 1.5 . The correct relation between the angle of minimum deviation ( δ m ) and angle of refraction ( r ) is

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For a thin prism, the angle of minimum deviation is given by $δ_{m} = (μ - 1) A$ .

At the position of minimum deviation, the angle of refraction $r$ inside the prism is $r = \frac{A}{2}$ , which gives $A = 2 r$ .

Given the refractive index $μ = 1.5$ .

Substituting the values into the deviation formula, we get:

$δ_{m} = (1.5 - 1) (2 r)$

$δ_{m} = 0.5 \times 2 r$

$δ_{m} = r$

Answer: $δ m = r$

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