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A ray of light LM incident normally on t...

A ray of light LM incident normally on the surface AC of an isosceles right angled prism ABC (where AB = BC) emerges along PQ, parallel to LM, as shown in given figure.
What can you say about refractive index fe of the material of the prism?

Text Solution

Verified by Experts

`angleA=angleC=45^(@)` (isosceles right angled triangle)
`:.anglei=45^(@)`
For total internal reflection to take place at faces `sinigt(1)/(n),` where n is the refractive index of prism with respect to air.
`sin45^(@)gt(1)/(n)`
`ngt(1)/(sin45^(@))`
`ngtsqrt2`
Hence, the refractive index of prism is greater than `sqrt2`.
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