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The refractive index of glass with respe...

The refractive index of glass with respect to water is `(9)/(8)`. If the velocity of wavelength of light in glass are `2 xx 10^(8) m//s` and 4000 Å respectively, find the velocity and wavelength of light in water.

Text Solution

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`""_(w)mu_(g) = mu_(g)/mu_(w) = v_(g)/v_(w) implies 9/8 = v_(w)/(2xx10^(8))`,
br `v_(w) = (9xx2xx10^(8))`m/s
`""_(w)mu_(g) = mu_(g)/mu_(w) = lambda_(w)/lambda_(g) (therefore mu_(g) - lambda/lambda_(g) , mu_(g) - lambda/lambda_(w))`
`9/8 = lambda_(w)/4000 , lambda_(w) = (9xx4000)/8 = 4500A^(@)`
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