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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Wave Optics

NTA Abhyas 2020 · Physics · Wave Optics

A& ray of light passes four transparent glass slabs having&...

A& ray of light passes four transparent glass slabs having& refractive indices μ1{μ}_{1}, μ2{μ}_{2}, μ3{μ}_{3} and μ4{μ}_{4} as shown in the figure. If the emergent ray CDCD is parallel to the incident ray ABAB,& then&

A& ray of light passes four transparent glass slabs having& refractive indices μ _ 1 , μ _ 2 , μ _ 3 and μ _ 4 as shown

Options

  1. Aμ1=μ2{μ}_{1} = {μ}_{2}
  2. Bμ2=μ3{μ}_{2} = {μ}_{3}
  3. Cμ3=μ4{μ}_{3} = {μ}_{4}
  4. Dμ4=μ1{μ}_{4} = {μ}_{1}

Correct answer

D. μ4=μ1{μ}_{4} = {μ}_{1}

Step-by-step solution

Applying Snell's law at B and C,

μsini=\mu sini = constant or μ1siniB=μ4subic{μ}_{1}{sini}_{B} = {μ}_{4}\text{sub}{i}_{c}

A& ray of light passes four transparent glass slabs having& refractive indices μ _ 1 , μ _ 2 , μ _ 3 and μ _ 4 as shown

But since AB∣∣CDAB | | CD

∴iB=iC∴ {i}_{B} = {i}_{C}

or μ1=μ4{μ}_{1} = {μ}_{4}

The Snell's law, which the students read in their plus two syllabus μ=sinisinr\mu = \dfrac{sini}{sinr} comes from μsini=\mu sini = constant

μ1=μ1sini1=μ2sini2{μ}_{1} = {μ}_{1}{sini}_{1} = {μ}_{2}{sini}_{2}

μ2=μ{μ}_{2} = \mu or sini=μsinrsini = \mu sinr

A& ray of light passes four transparent glass slabs having& refractive indices μ _ 1 , μ _ 2 , μ _ 3 and μ _ 4 as shown

or μ=sinisinr\mu = \dfrac{sini}{sinr}

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