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Q.

A ray of light falls on a transparent sphere with centre at C as shown in figure. The ray emerges from the sphere parallel to line AB. The refractive index of the sphere is x where x is

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answer is 3.

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Detailed Solution

Deviation by a sphere is 2(i-r)Here, deviation δ=60∘=2(i−r) or i−r=30∘

∴r=i−30∘=60∘−30∘=30∘∴μ=sin⁡isin⁡r=sin⁡60∘sin⁡30∘=3

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A ray of light falls on a transparent sphere with centre at C as shown in figure. The ray emerges from the sphere parallel to line AB. The refractive index of the sphere is x where x is