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BITSAT Physics Ray Optics 2023 BITSAT 2023 (Memory Based Paper 2)

BITSAT Physics Question (2023) — Solution

Question

A thin prism P_1 with an angle 6^ and made of glass of refractive index 1.54 is combined with another prism P _2 made from glass of refractive index 1.72 to produce dispersion without average deviation. The angle of prism P _2 is :

Options

  1. A. 6^
  2. B. 1.3^
  3. C. 7.8^
  4. D. 4.5^

Answer

D. 4.5^

Step-by-step solution

Angle of deviation for first prism _1=A_1 ( _1-1 )=6(1.54-1) Angle of deviation for second prism aligned & _2=A_2 ( _2-1 ) \\ & =A_2(1.72-1) aligned For dispersion without deviation aligned & _1= _2 \\ & 6^ (1.54-1)= A _2(1.72-1) \\ & A _2= 6^ 0.54 0.72 = 18^ 4 =4.5^ aligned

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