The speed of light in glass is 2x 10 8 m/s and in water is 2.25x10 8 m/s .Find therefractive index of water with respect to glass.
Question
Solution
The refractive index of a medium is given by the speed of light in vacuum divided by the speed of light in the medium.
The refractive index of water with respect to glass (nwg) can be calculated using the formula:
nwg = Speed of light in glass / Speed of light in water
Given: Speed of light in glass (vg) = 2x10^8 m/s Speed of light in water (vw) = 2.25x10^8 m/s
Substitute these values into the formula:
nwg = vg / vw nwg = (2x10^8 m/s) / (2.25x10^8 m/s)
Solving this gives:
nwg = 0.888
So, the refractive index of water with respect to glass is approximately 0.888.
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