A monochromatic light is incident from air on a refracting surface of prism of angle 75¡ and refractive index n_=Ã3. 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 _²60¡. The value of n_ is _______.
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