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A ray of light incident on an equilatera...

A ray of light incident on an equilateral glass prism shows minimum deviation of `30^(@)`. Calculate the speed of light through the prism.

Text Solution

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Here, A ` = 60^(@) , D = 30^(@)`
Refractive index, `n = sin((A+D)/(2))/sin((A)/(2))=sin((60+30)/(2))/(sin((60)/(2)))`
`n = (sin45^(@))/(sin30^(@))=((1)/sqrt(2))/((1)/(2))=sqrt(2)`
n = 1.414
Velocity of light in glass, `v = (c )/(n) = (3xx10^(8))/(1.414)`
`v = 2.12 xx 10^(8) ms^(-1)`
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