Physics

Problem

The speeds of light in four transparent liquids L₁, L₂, L₃ and L₄ are

2.20\times10^{8}\,\text{m s}^{-1}

2.40\times10^{8}\,\text{m s}^{-1}

1.95\times10^{8}\,\text{m s}^{-1}

and

2.00\times10^{8}\,\text{m s}^{-1}

respectively. (a) Arrange these liquids in the order of increasing refractive index. (b) Calculate the absolute refractive index of each liquid (take speed of light in vacuum

c=3.00\times10^{8}\,\text{m s}^{-1}

). (c) Which of the four liquids will have the smallest critical angle when it is in contact with air? Justify your choice using your answers from part (b).

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