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Obtain an expression for deviation suffered by a ray of light when refracted through a small angle prism. |
Answer» Solution : We know that for refraction through a prism `angleA =angler_(1) + angler_(2)` and `angleA + angledelta = anglei + ANGLEE` For a small angled prism `angleA` is small and hence `r_(1)` and `r_(2)` will be evan SMALLER. As `n=(sin i)/(sin r_(1))` and `n= (sin e)/(sin r_(2))` and `angler_(1)` and `angler_(2)` are Hence, the above relations MAY be rewritten as : `i/r_(1) = n` and `e/r_(2)=n` `i/r_(1) =n` and `e/r_(2)=n` `rArr anglei = nangler_(1)` and `anglee = nangler_(2)` `rArr angledelta = (n-1)angleA` or `delta =(n-1) A` |
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