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A laser beam propagates through a spheri...

A laser beam propagates through a spherically symmetric medium, as shown in the figure. The refractive index varies with the distance to the symmetry centre `C` by the law `mu(r )=mu_(0)(r )/(r_(0))`, where `mu_(0)=1`, `r_(0)=3cm`, `r_(0) le r lt oo`. The beam's trajectory lies in the plane that includes `C`. At distance `r_(1)=8sqrt(2)cm` the beam makes an angle `phi=30^(@)` with `vecr_(1)` as shown in the figure. Find the minimum distance (in `cm`) the beam reach relative to the symmetry centre `C`.

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