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A ray of light travelling in air isinciden at angle of inciden 30^@ on one surface of slab in which refractive index varies with y. The light travels along the curve y =4x^(2) ( y and x are in meter) in the slab. Find out the refractive index of the slab at y=1//2m in the slab. |
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Answer» Solution :LET R.I. at `y=y` is `mu` and corresponding angle of refraction is `theta` `musintheta=1sin30^@` (i) and `TAN((pi)/(2)-theta)=(dy)/(dx)rArrcottheta=8xrArr COTTHETA=(8y^(1//2))/(2)` `cot theta=4 y^(1//2)` At `y=1//2mrArrcottheta=(4)/(sqrt(2))=2sqrt(2)` or `sintheta=(1)/(2)` From (i), `muxx(1)/(3)=(1)/(2)rArrmu=(3)/(2)` 
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