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1. Speed of light in air is \(3 \times {10^8}\ ms^{–1}\) and the speed of light in a medium is \(2 \times {10^8}\ ms^{–1}\). Find the refractive index of the medium with respect to air.
From the data given,
Speed of light in air (\(c\)) \(=\) \(3 \times {10^8}\ ms^{–1}\)
Speed of light in a medium (\(v\)) \(=\) \(2 \times {10^8}\ ms^{–1}\)
The formula to calculate the refractive index of a medium is,
Substitute the known values,
Refractive index of a medium (\(\mu\)) \(=\)