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QAIPM-2002-Ph-2848: NEET 2002 Physics - Class 12 AIPM-2002-Ph-2848 Solution: For the given incident ray as shown in figure, the condition of …

For the given incident ray as shown in figure, the condition of total internal refraction of this ray the required refractive index of prism will be

Multiple Choice Options

  • A 3+12\frac{\sqrt{3}+1}{2}
  • B 2+12\frac{\sqrt{2}+1}{2}
  • C 32\sqrt{\frac{3}{2}}
  • D 76\sqrt{\frac{7}{6}}

Step-by-Step Verified Solution

Applying Snell�s law of refraction at A, _ = sin _ 45 _ sin _ r _ r = sin _ 1 ( 1 2 _ ) ....(1) Applying the condition of total internal reflection at B, i c = sin _ 1 ( 1 _ ) ..........(2) where i c is the critical angle. From figure, r + i c = � 2 _ sin _ 1 ( 1 2 _ ) = � 2 _ sin _ 1 ( 1 _ ) _ sin _ 1 ( 1 2 _ ) = cos _ 1 ( 1 _ ) = sin _ 1 ( _ 2 _ 1 _ ) _ 1 2 _ = _ 2 _ 1 _ _ _ 2 = 1 + 1 2 _ _ = 3 2

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