Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AIIMS 201926 May
Exam
AIIMS
Year
2019
Date
26 May
Subject
Physics
Chapter
Ray Optics

AIIMS 2019 · 26 May · Physics · Ray Optics

The refractive index of the material of an equilateral prism is...

The refractive index of the material of an equilateral prism is 1.6. The angle of minimum deviation due to the prism would be

Options

  1. A30∘30^{\circ}
  2. Bbetween 30∘30^{\circ} and 45∘45^{\circ}
  3. C45∘45^{\circ}
  4. Dbetween 45∘45^{\circ} and 60∘60^{\circ}

Correct answer

D. between 45∘45^{\circ} and 60∘60^{\circ}

Step-by-step solution

Here, μ=1.6,A=60∘\mu=1.6, A=60^{\circ} As, μ=sin⁡(A+δm2)sin⁡(A2)∴sin⁡(60∘+δm2)=1.6sin⁡(60∘2)⇒sin⁡(60∘+δm2)=0.8⇒δm=46.3∘\begin{aligned} & \text{ As, } \mu=\frac{\sin \left(\frac{A+\delta_m}{2}\right)}{\sin \left(\frac{A}{2}\right)} \\ & \therefore \quad \sin \left(\frac{60^{\circ}+\delta_m}{2}\right)=1.6 \sin \left(\frac{60^{\circ}}{2}\right) \\ & \Rightarrow \sin \left(\frac{60^{\circ}+\delta_m}{2}\right)=0.8 \Rightarrow \delta_m=46.3^{\circ}\end{aligned}$$
Practice Ray Optics on Quantrex Academy →

More from Ray Optics

A container is filled with water (μ = 4/3 ) up to a height of 24 cm. A concave mirror is… MHT CET Medical 2026The refracting angle of a prism is 'A' and its refractive index is ((A)/(2)). The minimum… MHT CET Medical 2026A circular beam of light having diameter 'd' falls on a plane liquid surface from air.… MHT CET Medical 2026What is the total optical path length of two media in contact with thicknesses of d and… MHT CET Medical 2026A beam of white light is allowed to pass through convex lens parallel to principal axis… MHT CET Medical 2026The angle of minimum deviation produced by a thin prism in air is δ_1 . What will be the… MHT CET Medical 2026A ray of light passes through four transparent media with refractive indices μ_1 , μ_2… MHT CET Medical 2026The thin prism having refracting angle 10^ ^ ∘ is made of glass of refractive index 1.42… MHT CET Medical 2026 Full Ray Optics list All AIIMS PYQs