The refracting angle of a prism is A and refractive index of the material of the prism

⇦

⇨

The refracting angle of a prism is A and refractive index of the material of the prism is cot (A/2). The angle of minimum deviation is

Options

(a) 180⁰-3 A
(b) 180⁰-2 A
(c) 90⁰- A
(d) 180⁰+2 A

Correct Answer:

180⁰-2 A

Explanation:

Refractive index, μ = sin (A+Dm / 2) / sin (A/2)

cot (A / 2) = sin (A+Dm / 2) / sin (A/2)

cos (A/2) / sin (A/2) = sin (A+Dm / 2) / sin (A/2)

sin [(π/2) – (A/2)] = sin [(A + Dm) / 2]

(π / 2) – (A / 2) = (A / 2) + (Dm / 2)

Dm = π – 2A

Angle of minimum deviation, Dm = 180° – 2A

Related Questions:

1. Pure Si at 300 k has equal electrons (nₑ) and hole (nh) concentrations
2. For a diatomic gas charge in internal energy for unit charge in temperature for
3. Pressure gradient has the same dimensions as that of
4. Radii of curvature of a converging lens are in the rato 1:2. Its focal length
5. A short circuited coil is placed in a magnetic field varying with time. Electrical

Topics: Ray Optics (94)
Subject: Physics (2479)

---

Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score

18000+ students are using NEETLab to improve their score. What about you?

Solve Previous Year MCQs, Mock Tests, Topicwise Practice Tests, Identify Weak Topics, Formula Flash cards and much more is available in NEETLab Android App to improve your NEET score.

---

Share this page with your friends