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Refractive indices of glass with respect...

Refractive indices of glass with respect to water and air are 1.13 and 1.51 respectively. If velocity of light in air is `3 xx 10^(8) "m".s^(-1)` what will be its velocity in water ?

Text Solution

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We know `""_(a)mu_(g)=(""^(c)a)/c_(g)`
`:. 1.51=(3xx10^(8))/(c_(g))[c_(g)` velocity of light in glass ]
or `c_(g)=(3xx 10^(8))/(1.51)=2 xx 10^(8) "m". s^(-1)` (approx).
Again `""_(w)mu_(g) =(""^(c)w)/c_(g)[c_(w)` velocity of light in water ]
or `1.13=(c_(w))/(2xx10^(8)) `
`c_(w)=2,26 xx 10^(8) "m". s^(-1)`
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