A planar structure of length \( \mathrm{L} \) and width \( \mathrm{W} \) is made of two differen...

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A planar structure of length \( \mathrm{L} \) and width \( \mathrm{W} \) is made of two different optical media of refractive indices \( n_{1}=1.5 \) and \( \mathrm{n}_{2}=1.44 \) as shown in figure. If \( \mathrm{L}>>\mathrm{W} \), a ray entering from end \( A B \) will emerge from end \( C D \) only if the total internal reflection condition is met inside the structure. For \( \mathrm{L}=9.6 \mathrm{~m} \), if the incident angle \( \theta \) is varied, the maximum time taken by a ray to exit the plane \( C D \) is \( t \times 10^{-9} \mathrm{~s} \), where \( t \) is math xmlns=http://www.w3.org/1998/Math/MathML class=wrs_chemistrymenclose notation=bottommo /momo /momo /momo /momo /momo /momo /momo /momo /momo /momo /momo /momo /momo /momo /momo /momo /mo/menclose/math .
img src=https://penpencil-static-content.s3.ap-south-1.amazonaws.com/5eb393ee95fab7468a79d189/wfz3ww45la6cxvhzgp8zp7zvh.png /
[Speed of light c=math xmlns=http://www.w3.org/1998/Math/MathML class=wrs_chemistrymn3/mnmo×/momsupmn10/mnmn8/mn/msupmo /momi mathvariant=normalm/mimo//momi mathvariant=normals/mi/math]
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