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Q.

The cross section of a prism is a regular hexagon. A narrow beam of light strikes a face of the prism just below the midpoint (M) of the edge AB. The beam is parallel to the top and bottom faces of the prism. The minimum value of refractive index of the material of the prism for which the emergent beam will be parallel to the incident beam is $μ = \frac{3 \sqrt{13}}{n} .$ Find the value of n.

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Detailed Solution

$μ = \frac{\sqrt{13}}{2},$ The second refraction should take place at ED

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The cross section of a prism is a regular hexagon. A narrow beam of light strikes a face of the prism just below the midpoint (M) of the edge AB. The beam is parallel to the top and bottom faces of the prism. The minimum value of refractive index of the material of the prism for which the emergent beam will be parallel to the incident beam is μ=313n. Find the value of n.