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Refractive index of glass is 1.5 and ref...

Refractive index of glass is 1.5 and refractive index of water is 1.33. If the velocity in glass is `2 xx 10^(8) m * s^(-1)`, is the velocity of light in water?

Text Solution

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`mu_(g) = ("velocity of light in vacuum")/("velocity of light in glass"(v_(g)))`
`or, " " "velocity of light in vacuum" " " mu_(g) * v_(g)`
`"Again" " " mu_(w) = ("velocity of light in vacuum")/("velocity of light in water"(v_(w)))`
`or, " " "velocity of light in vacuum" = mu_(w) * v_(w)`
`therefore " " mu_(g)v_(g) = mu_(w)v_(w)`
`or, " " v_(w) = (mu_(g)v_(g))/(mu_(w) )= (1.5 xx 2 xx 10^(8))/(1.33)`
`= 2.26 xx 10^(8)m * s^(-1)`
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