Q.

A planar structure of length L and width W is made of two different optical media of refractive indices n1=1.5 and n2=1.44 as shown in figure. If  L>>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 θ is varied, the maximum time taken by a ray to exit the plane CD is t×10−9 s, where t is___

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answer is 50.00.

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Detailed Solution

sin⁡C=xd=n2n1⇒2425=xd⇒d=25x24→ distance travelled by light ray =2524×9.6=10m Time taken by ray to travel =d speed in med⁡n1⇒ time =10C1.5=1.5×103×108=5×10−8s=50×10−9s
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A planar structure of length L and width W is made of two different optical media of refractive indices n1=1.5 and n2=1.44 as shown in figure. If  L>>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 θ is varied, the maximum time taken by a ray to exit the plane CD is t×10−9 s, where t is___