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A ray enters a glass sphere of refractiv...

A ray enters a glass sphere of refractive index `mu=(sqrt3)` at an angle of incidence of `60^(@)`, ray is reflected and refracted at the farther surface of the sphere. The angle between the reflected and refracted rays at this surface is

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`mu= (sin i)/ (sin r)`
`therefore sin r= (sin i)/mu= (sin 60^@)/sqrt3=1/2`
`therefore r=30^@, PC=QC, therefore angleCPQ=anglePQC=angler=30^@`
Angle between refected ray QR and refracted ray QS at the other face `=180^@-r-60^@=180^@-30^@-60^@=90^@`
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