For a small angled prism, angle of prism A, the angle of minimum deviation ( δ ) varies with the refractive index of the prism as shown in the graph

Question

For a small angled prism, angle of prism A, the angle of minimum deviation ( δ ) varies with the refractive index of the prism as shown in the graph (A) Point P corresponds to m = 1 (B) Slope of the line PQ = A/2 (C) Slope = 2A (D) None of the above statements is true

Tardigrade Admin · Accepted Answer

At P, δ=0=A(μ-1) ⇒ μ=1 Also δm=(μ-1) A=A μm-A Comparing it with y=m x+c Slope of the line =m=A

Q. For a small angled prism, angle of prism $A$ , the angle of minimum deviation ( $δ$ ) varies with the refractive index of the prism as shown in the graph

Point P corresponds to m = 1

Slope of the line PQ = A/2

Slope = 2A

None of the above statements is true

At $P, δ = 0 = A (μ - 1) \Rightarrow μ = 1$
Also $δ_{m} = (μ - 1) A = A μ_{m} - A$
Comparing it with $y = m x + c$
Slope of the line $= m = A$

Q. For a small angled prism, angle of prism A, the angle of minimum deviation ( δ ) varies with the refractive index of the prism as shown in the graph