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Question -

Atwhat angle should a ray of light be incident on the face of a prism ofrefracting angle 60┬░ so that it just suffers total internal reflection at theother face? The refractive index of the material of the prism is 1.524.



Answer -

The incident, refracted,and emergent rays associated with a glass prism ABC are shown in the givenfigure.

Angle of prism, тИаA┬а= 60┬░

Refractive index of the prism,┬а┬╡┬а=1.524

┬а= Incident angle

┬а= Refracted angle

┬а= Angle of incidenceat the face AC

e┬а= Emergent angle = 90┬░

According to SnellтАЩs law,for face AC, we can have:

It is clear from the figure that angle

According to SnellтАЩs law,we have the relation:

Hence,the angle of incidence is 29.75┬░.

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