Using fermats principle, find the path of a ray of light traveling on the xz-plane in a medium whose refractive index varies as, n(z) = n0 p 1 + (z/a), where n0 and a are positive constants and z is the depth of the medium. Assume that the light ray enters the medium at the origin, directed along the positive x-axis, and proceeds to the 1 st quadrant.
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