1.

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.

Answer»


Solution :`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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