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The refractive index of an anisotropic medium varies as mu=mu_(0)sqrt((x+1)) , where 0lexlea. A ray of light is incident at the origin just along y-axis (shown in figure). Find the equation of ray in the medium . |
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Answer» Solution :`mu=mu_(0)SQRT(x+1)` at `x=0rarrmu=mu_(0)` `musintheta=` constant `mu_(0) SIN90^@=mu_(0)sqrt(x+1)sintheta` `sintheta=(1)/(sqrt(x+1))` `rArr costheta=sqrt((x)/(x+1)` `(dy)/(DX)=tantheta` `rArr (dy)/(dx)=(sintheta)/(costheta)=(1)/(sqrt(x))` `:.intdy=int(1)/(sqrt(x))dx` or `y=2sqrt(x)` 
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