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 .

Explanation

`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)`