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Question

Can the laws for plane refracting surfaces be applied to spherical refracting surfaces too? State the laws of refraction of light.


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Solution

Yes, the laws that are valid for plane refracting surfaces can also be applied for spherical refracting surfaces. The laws of refraction are as follows:

i) The incident rays, the refracted ray and the normal to the surface of separation of two media at the point of incidence, all lie in the same plane.

ii) The ratio of sine of angle of incidence i to the sine of angle of refraction r is a constant. This constant is called the refractive index of the material of the prism. Thus, angle of incidence i and the angle of refraction r are related as

sin isin r=n21

Where n21 is a constant, and is called the refractive index of the second medium with respect to the first medium.


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