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JEE Main 202330 JanuaryEvening Shift
Exam
JEE Main
Year
2023
Date
30 January
Shift
Evening Shift
Subject
Physics
Chapter
Ray Optics

JEE Main 2023 · 30 January · Evening Shift · Physics · Ray Optics

A thin prism P _ 1 with an angle 6 ° and made of glass of...

A thin prism P1{P}_{1} with an angle 6°6 ° and made of glass of refractive index 1.541 . 54 is combined with another prism P2{P}_{2} made from glass of refractive index 1.721 . 72 to produce dispersion without average deviation. The angle of prism P2{P}_{2} is :

Options

  1. A6°6 °
  2. B1.3°1 . 3 °
  3. C7.8°7 . 8 °
  4. D4.5°4 . 5 °

Correct answer

D. 4.5°4 . 5 °

Step-by-step solution

For no average deviation,

δ1+δ2=0⇒A(μ1−1)−B(μ2−1)=0{\delta}_{1} + {\delta}_{2} = 0 ⇒ A\left({\mu}_{1} - 1\right) - B\left({\mu}_{2} - 1\right) = 0

⇒6°(1.54–1)=θ(1.72–1)⇒ 6 ° ( 1 . 54 – 1 ) = \theta ( 1 . 72 – 1 )

⇒θ=6°×0.540.72⇒ \theta = \dfrac{6 ° \times 0 . 54}{0 . 72}

=4.5°= 4 . 5 °

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