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Light is incident at an angle i on one p...

Light is incident at an angle i on one planer end of a transparent cylinderical rod of refractive index `mu.` Find the least value of `mu` so that the light entering the rod does not emerge from the curved surface of the rod irrespective of the value of `i.`

Text Solution

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The correct Answer is:
B
`ABC` can be treated as a prism with angle of prism `A = 90^(@)`. Condition of no emerage is

`A ge `2theta_(C)`
or `sintheta_(C) lt sin ((A)/(2))`
or `(1)(mu) le sin 45^(@)`
or `(1)/(mu) le (1)/(sqrt(2))`
`:. mu ge sqrt(2)`
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