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Three right angled prisms are glued as s...

Three right angled prisms are glued as shown in the figure. An incident ray passes undeviated through the system. Express the refractive index `(mu_(2))` of the middle prism in terms of `mu_(1)` and `mu_(3)`.

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The correct Answer is:
`mu_(2) = sqrt(mu_(1)^(2) +mu_(3)^(2) -1)`
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