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  4. Figure-6.112 shows plane waves refracted from air to water using Huygen's principle a, b, c, d, e are lengths on the diagram. The refractive index of water w.r.t air is the ratio:

Q. Figure-shows plane waves refracted from air to water using Huygen's principle are lengths on the diagram. The refractive index of water w.r.t air is the ratio:

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Solution:

For a wavefront, we know that time taken by all points on it from one position to another of same wavefront are equal. If is the time taken by the wavefront in travelling from position to position as shown in figure, then we use


Where is the speed of light in water and is the speed of light in air.
Dividing the above two equations, we get

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