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A ray of light falls on a transparent sp...

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

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Verified by Experts

The correct Answer is:
`sqrt(3)`
From snell's law
`1 . "sin"60^(@) = mu"sin"r` (at Pt'Q')
`therefore` sin 2r = sin `60^(@)`
r = `30^(@)`
`therefore 1. "sin"60^(@) = mu "sin"30^(@) implies mu = sqrt(3)`
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ALLEN -GEOMETRICAL OPTICS-EXERCISE-04[A]
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  4. A slab of glass, of thickness 6 cm and refractive index mu=1.5 is plac...

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  5. A point object is placed 33cm from a convex mirror of curvature radiu...

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  6. A long solid cylindrical glass rod of refractive index 3/2 is immersed...

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  8. A rod made of glass (mu = 1.5) and of square cross-section is equal is...

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  10. A ray of light falls on a transparent sphere with centre at C as shown...

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  11. A narrow parallel beam of light is incident on a transparent sphere of...

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  12. A thin equiconvex lens of glass of refractive index mu=3//2 & of focal...

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  13. In the figure shown L is converging lens of focal length 10 cm and M i...

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  14. An object is kept at a distance of 16 cm from a thin lens and the imag...

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  15. A point source of light is kept at a distance of 15cm from a convergi...

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  16. A lens placed between a candle and a fixed screen forms a real tr...

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  17. Consider a 'beam expander' which consists of two converging lenses of ...

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  18. A prism of refractive index sqrt(2) has refractive angle 60^(@) . Find...

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  19. An equilateral prism deviates a ray through23^(@)for two angles of inc...

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