The critical angle of water is:

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{48.7}^{o}

{58.7}^{o}

{68.7}^{o}

None of these

answer is A.

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Detailed Solution

Concept: The critical angle of water is defined as the angle of incidence of a light ray travelling from a denser medium to a rarer medium such that the angle of refraction of the light ray equals 90 degrees. We can calculate the critical angle for water using Snell's law of refraction.
The critical angle of a medium is defined as the angle of incidence of a light ray in the denser medium that results in a 90-degree angle of refraction. This can be illustrated in the figure.
Question Image

Snell's law can be used to calculate the critical angle of water. The angle of refraction for the critical angle is 90 degrees. Water's refractive index in relation to air is given as

Using this in Snell law and substituting i by

, we get

This is the required value of the critical angle of water.
Hence, option 1 is correct.

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