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The refractive indices of the material of the prism and liquid are 1.56 and 1.32 respectively. What will be the value of 0 for the following refraction?

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$sinθ \geq \frac{11}{13}$

$sinθ \geq \frac{1}{\sqrt{2}}$

$sinθ \geq \frac{13}{11}$

$sinθ \geq \frac{\sqrt{3}}{2}$

answer is B.

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Detailed Solution

For total internal reflection from surface.BC

$θ \geq C \Rightarrow sinθ \geq \sin C \Rightarrow θ \geq (\frac{1}{_{l} μ_{g}})$

$\begin{array}{l} \Rightarrow sinθ \geq (\frac{μ_{Liquid}}{μ_{Prism}}) \\ sinθ \geq (\frac{1 .32}{1 .56}) \Rightarrow sinθ \geq \frac{11}{13} \end{array}$

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