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To get emergent ray from a right-angled ...

To get emergent ray from a right-angled prism its refractive index should not exceed `sqrt2` - prove it.

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The condition of getting emergent ray from a prism is that the refracting angle of the prism should be equal to or less than twice the value of the critical angle `theta_(c)`.
Here the angle of the prism, `A = 90^(@)`
`therefore " " A le 2theta_(c) or, 90^(@)le 2theta_(c) or, theta_(c)ge 45^(@)`
`therefore " " sintheta_(c) ge sin45^(@) or, sintheta_(c)ge (1)/(sqrt(2))`
`therefore " " sintheta_(c) = (1)/(mu)`
`therefore " " (1)/(mu) ge (1)/(sqrt(2)) or, mu le sqrt(2)`
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