1.

A ring angled isosceles prism KLM of refractive index n_(1) is placed inside a rectangular block PQRS of refractive index n_(2) as shown in the adjoining Fig. The rectangular box is surrounded by a medium of refractive index n_(3). A ray of light AB enters the rectangular block normally. Depending upon the relationships between n_(1), n_(2) and n_(3). it takes one of the four possible paths. Under what condition the ray follows the path no. 1 (i.e., path ABCI)?

Answer»

SOLUTION :Since the RAY shown as 1 suffers total internal reflection at C as well as D, where angle of incidence is `45^(@)`. It means that value of critical angle `i_(c) LE 45^(@)` and it is possible of
`n_(12)(=(n_(1))/(n_(2)))ge(1)/(sin 45^(@)) RARR n_(1) ge sqrt2n_(2)`


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