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If minimum deviation = `30^(@)`, then speed of light in shown prism will beA. `3/sqrt(2)xx10^(8)m//s`B. `1/sqrt(2) xx 10^(8)m//s`C. `2/sqrt(3) xx 10^(8)m//s`D. `(2KAepsilon_(0))/((K^(2)+1)d)` |
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Answer» Correct Answer - C Given, `A = 60^(@)`, `delta_(m)=30^(@)` According to prism formula, `mu=(sin((A+delta_(m))/2))/sin(A/2)` or `mu = (sin(60^(@)+30^(@))/2)=(sin45^(@))/(sin30^(@))` or `mu = sqrt(2)` `therefore mu=("Speed of light in air(c)")/("Speed of light in prism(v)")` `v= c/mu = (3 xx 10^(8))/sqrt(2) = 3/sqrt(2) xx 10^(8)` `m/s` |
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