(a) A ray 'PQ' of light is incident on the face AB of a glass prism ABC (as shown in the figure) and emerges out of the face AC. Trace the path of the ray. Show that ∠i+∠e=∠A+∠δ. When δ and e denote the angle of deviation and angle of emergence respectively.Plot a graph showing the variation of the angle of deviation as a function of angle of incidence. State the condition under which δ is minimum.(b) Find out the relation between the refractive index (μ) of the glass prism and ∠A for the case when the angle of prism (A) is equal to the angle of minimum deviation (δm). Hence obtain the value of the refractive index for angle of prism A=60∘.

(a) A ray 'PQ' of light is incident on the face AB of a glass prism AB

1.	(a) A ray 'PQ' of light is incident on the face AB of a glass prism ABC (as shown in the figure) and emerges out of the face AC. Trace the path of the ray. Show that ∠i+∠e=∠A+∠δ. When δ and e denote the angle of deviation and angle of emergence respectively.Plot a graph showing the variation of the angle of deviation as a function of angle of incidence. State the condition under which δ is minimum.(b) Find out the relation between the refractive index (μ) of the glass prism and ∠A for the case when the angle of prism (A) is equal to the angle of minimum deviation (δm). Hence obtain the value of the refractive index for angle of prism A=60∘.
Answer» (a) A ray 'PQ' of light is incident on the face AB of a glass prism ABC (as shown in the figure) and emerges out of the face AC. Trace the path of the ray. Show that $∠ i + ∠ e = ∠ A + ∠ δ$ . When $δ$ and e denote the angle of deviation and angle of emergence respectively. Plot a graph showing the variation of the angle of deviation as a function of angle of incidence. State the condition under which $δ$ is minimum. (b) Find out the relation between the refractive index ( $μ$ ) of the glass prism and $∠ A$ for the case when the angle of prism (A) is equal to the angle of minimum deviation $(δ_{m})$ . Hence obtain the value of the refractive index for angle of prism $A = 60^{\circ}$ .

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