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Problems on prism - class-XII

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Multiple Choice

Three right angied prisms of refractive indices $\mu _1$,$\mu _2$ and $\mu _3$ are joined together so that the faces of the middle prism are each in contact with one the outside prism.If the ray passes through the composite block undeviated,then

  1. ${\mu _1}^2+{\mu _3}^2-{\mu _2}^2 = 1$
  2. ${\mu _1}^2-{\mu _3}^2+{\mu _2}^2 = 1$
  3. ${\mu _1}^2-{\mu _3}^2-{\mu _2}^2 = 1$
  4. ${\mu _2}^2+{\mu _3}^2-{\mu _1}^2 = 1$
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