JEE Advanced Physics (Entrance Exams Around the World) Optics #5 Snell's Law

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A planar structure of length L and width W is made of 2 different optical media of refracting indices n1=1.5 and n2=1.44. If L (much, much greater than) W, A ray entering from end AB will emerge from end CD only if the total internal reflection condition is met inside the structure. For L=9.6m, if the incident angle theta is varied, the maximum time taken by a ray to exit the plane CD is tx10^-9 sec, where t=?

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