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JEE PHYSICS MCQ: RAY OPTICS

1 Medium
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Application +4 | -1
A medium bounded by the planes x=0,x=a,y=b,y=−b,z=cx=0, x=a, y=b, y=-b, z=c and z=0z=0 has refractive index μ(x,z)=Az3−Bx+2\mu(x, z)=A z^3-B x+2. A ray of light travelling along positive zz-axis enters the medium BB at point P(1B,0)P\left(\frac{1}{B}, 0\right). Then the optical path introduced by the medium (when the light ray emerges out) will be:
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Correct option: A
Ac44\frac{A c^4}{4}
Option A (Ac44\frac{A c^4}{4}) is correct because it represents the optical path length calculated by integrating the refractive index function along the z-axis.

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