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Q.

A monochromatic light is incident from air on a refracting surface of a prism of angle 750 and refractive index n0 =3 . The other refracting surface of the prism is coated by a thin film of material of refractive index n as shown in figure. The light suffers total internal reflection at the coated prism surface for an incidence angle of θ≤600 . The value of n2 is

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answer is 1.50.

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Detailed Solution

Snell's Law at 1st surface:1×sin⁡60=3×sin⁡r1⇒sin⁡r1=12⇒r1=30∘We know, A=r1+r2⇒r2=45∘ Snell's Law at 2 nd surface : 12×3=n×sin⁡90∘⇒n2=1.5
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