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A ray of light incident on face AB of an...

A ray of light incident on face `AB` of 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^(@), delta_(m) = 30^(@), v = ?`
`mu = (sin (A + delta_(m))//2)/(sin A//2) = (sin (60^(@) + 30^(@))//2)/(sin 60^(@)//2)`
`= (sin 45^(@))/(sin 30^(@)) = (1//sqrt(2))/(1//2) = (2)/(sqrt(2)) = sqrt(2) = 1.414`
From `mu = ( c)/(v)`,
`v = (c )/(mu) = (3 xx 10^(8))/(1.414)m//s = 2.12 xx 10^(8) m//s`
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