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A person looking through a telescope foc...

A person looking through a telescope focuses lens at a point on the edge of the bottom of an empty cylindrical vessel. Next he fills the entire vessel with a liquid oif refractive index `mu`, without disturbing the telescope. Now, he observes the mid point of the vessel. Determine the radius to depth ratio of the vessel

A

`1/2sqrt((1-mu^(2))/(mu^(2)+1))`

B

`1/2sqrt((4-mu^(2))/(mu^(2)-1))`

C

`1/2sqrt((4+mu^(2))/(mu^(2)+1)`

D

`1/2sqrt((4+mu)/(mu+1))`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-GEOMETRICAL OPTICS-ADDITIONAL PRACTICE EXERCISE -I (LEVEL-II LECTURE SHEET (ADVANCED) STRAIGHT OBJECTIVE TYPE QUESTIONS)
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  2. A ray of light is incident on one face of a transparent slab of thickn...

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  3. A person looking through a telescope focuses lens at a point on the ed...

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  4. A rod of glass (mu=1.5) and of square cross section is bent into the s...

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  5. A light ray is incident at an angle of incedence (pi//4). The graph of...

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  6. Light is incident from glass (mu = 1.50) to water (mu = 1.33) find th...

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  7. A ray of light is incident at an angle of 75^(@) into a medium having ...

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  8. A beam of parallel rays of width b cm propagates in glass at an angle ...

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  9. A small object of height 0.5 cm is placed in front of a convex surface...

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  10. A ball is kept at a height h above the surface of a heavy transparent ...

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  11. A ring of radius 1cm is placed 1m in front of a spherical glass ball...

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  12. The radii of curvature of two spherical surfaces of a concave convex l...

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  13. A light ray travelling parallel to the principal axis of a convex lens...

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  14. Twot thin lenses when placed in contact, then the power of combination...

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  15. A convex lens is placed some where between an object and a screen whic...

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  16. A point object moves along the principal axis of a convex lens of foca...

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  17. A thin plano-convex lens of focal length f is split into two halves. O...

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  18. A converging lens L(1) of focal length 20 cm is separated by 8 cm from...

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  19. A point object is placed at a distance of 20 cm from a thin plano-conc...

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  20. A convex lens of focal length f and a plane mirror are y distance apar...

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