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The refractive index of water with respect to air is aμw and of glass with respect to air is aμg. Express the refractive index of glass with respect to water.

Refraction Plane Surfaces

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Answer

The refractive index of water with respect to air is aμw.

w=Speed of light in airSpeed of light in water_{\text{a}}\text{μ}_{\text{w}} = \dfrac{\text{Speed of light in air}}{\text {Speed of light in water}} \\[0.5em]

The refractive index of glass with respect to air is aμg.

g=Speed of light in airSpeed of light in glass_{\text{a}}\text{μ}_{\text{g}} = \dfrac{\text{Speed of light in air}}{\text {Speed of light in glass}} \\[0.5em]

So, the refractive index of glass with respect to water is given by

g=aμgaμw_{\text{w}}\text{μ}_{\text{g}} = \dfrac{a\mug}{a\muw} \\[1em]

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