1.

The absolute refractive indices of glass and water are 4/3 and 3/2 respectively. If the speed of light in glass is 2xx10^(8) m/s calculate the speed of light in (i) vacuum(ii) water.

Answer»

SOLUTION :Since, refractive index of glass
`=("SPEED of light in cavuum" (v))/("Speed of light in glass(n)")`
`c=v/n`
`4/3=v/(2xx10^(8))`
`v=4/3xx2xx10^(8)`
`=8/3xx10^(8)=2.6xx10^(8)m//s`
`v=3xx10^(8)m//s`
Refractive index of water
`=("Speed of light in VACUUM")/("Speed of light in water")`
`n=v/w`
`w=v/n=(3xx10^(8))/3`
`=(cancel(3)xx10^(8)xx2)/(cancel(2))=2xx10^(8)m//s`


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