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Consider the situation as shown in figur...

Consider the situation as shown in figure. The point O is the centre. The light ray forms an angle of `60^@` with the horizontal and each mirror makes an angle `60^@` with the normal. The value of refractive index of that spherical portion so that light ray retraces its path is

A

`sqrt2`

B

`2/sqrt3`

C

1.5

D

`sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
D
(d) Refractive index,`mu=(sin60^(@))/(sin30^(@))=(sqrt3//2)/(1//2)=sqrt3`
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DC PANDEY ENGLISH-RAY OPTICS-Exercise
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  2. A convex lens of focal length 30 cm forms a real image three times lar...

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  3. An object is placed at 21 cm in front of a concave mirror of radius of...

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  4. A thin prism P with angle 4^(@) and made from glass of refractive inde...

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  5. A convex lens produces an image of a real object on a screen with a ma...

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  6. An infinitely long rod lies along the axis of a concave mirror of foca...

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  7. A plane mirror is placed horizontally inside water (mu=4/3). A ray fal...

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  8. A point object is moving with a speed v before an arrangement of two m...

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  9. If a ray of light in a denser medium strikes a rarer medium at an angl...

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  10. A ray PQ incident on the refracting face BA is refracted in the prism ...

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  11. The xz plane separates two media A and B with refractive indices mu(1)...

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  12. A thin lens made of glass of refractive index mu = 1.5 has a focal len...

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  13. A ray of light is incident on a surface of glass slab at an angle 45^@...

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  14. A fish rising up vertically toward the surface of water with speed 3m...

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  15. A circular beam of light (diameter d) falls on a plane surface of a li...

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  16. Consider the situation as shown in figure. The point O is the centre. ...

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  17. A concave mirror is placed at the bottom of an empty tank with face up...

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  18. Given a slab with index n=1.33 and incident light striking the top hor...

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  19. The apparent depth of water in cylindrical water tank of diameter 2R c...

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  20. In the figure shown , for an angle of incidence 45^(@), at the top sur...

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