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An observer can see through a pin-hole t...

An observer can see through a pin-hole the top end of a thin rod of height h, placed as shown in the figure. The beaker height is 3h and its radius h. When the beaker is filled with a liquid up to a height 2h, he can see the lower end of the rod. Then the refractive index of the liquid is

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The correct Answer is:
B

`PQ=QR=2h`
`:. anglei=45^@ `
` :. ST=RT=h=KM=MN `
So, `KS=sqrt(h^2+(2h)^2)=hsqrt5 `
` :. Sinr=h/(hsqrt5)=1/sqrt5 `
`:. mu=sini/sinr=sin45^@/(1//sqrt5)=sqrt(5/2)`
`:.` The correct answer is.
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DC PANDEY ENGLISH-REFRACTION OF LIGHT-Level 2 Subjective
  1. An observer can see through a pin-hole the top end of a thin rod of he...

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  2. a. Figure (a) shows the optical axis of a lens, the point source of ...

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  3. a. Figure (a) shows the optical axis of a lens, the point source of ...

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  4. In Figure, a fish watcher watches a fish through a 3.0 cm thick glass ...

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  5. A concave spherical mirror with a radius of curvature of 0.2 m is fill...

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  6. A lens with a focal length of f=30 cm produces on a screen a sharp ima...

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  7. One side of radius of curvature R2=120 cm of a convexo-convex lens of ...

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  8. A small object is placed on the principal axis of concave spherical mi...

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  9. A thin glass lens of refractive index mu2=1.5 behaves as an interface ...

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  10. A glass hemisphere of radius 10 cm and mu=1.5 is silvered over its cur...

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  11. A equilateral prism of flint glass (mug=3//2) is placed water (muw=4//...

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  12. Rays of light fall on the plane surface of a half cylinder at an angle...

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  13. The figure shows an arrangement of an equi-convex lens and a concave m...

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  14. A convex lens is held 45 cm above the bottom of an empty tank. The ima...

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  15. A parallel beam of light falls normally on the first face of a prism o...

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  16. Two converging lenses of the same focal length f are separated by a di...

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  17. A cubical vessel with non-transparent walls is so located that the eye...

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  18. A spherical ball of transparent material has index of refractionmu. A ...

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  19. A ray incident on the droplet of water at an angle of incidence i unde...

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  20. A transparent solid sphere of radius 2 cm and density rho floats in a ...

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  21. A hollow sphere of glass of inner and outer radii R and 2R respectivel...

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