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A pile 4m high driven into the bottom of...

A pile 4m high driven into the bottom of a lake is 1m above the `
`water . Determine the length of the shadow of the pile on the bottom of the lake if `
` the sun rays make an angle of `45^@` with the water surface . The refractive index`
` if water is `4/3`. `

Text Solution

Verified by Experts

The correct Answer is:
B

From Snell's law,`4/3=sin45^@/sinr `

Solving this equation , we get `r=32^@`
Further, `EF=(DF)tanr=(3)tan 32^@=1.88m`
`:.` Total length of shadow, `L=CF` or `L=(1+1.88)m `
` =2.88m`.
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DC PANDEY-REFRACTION OF LIGHT-Level 2 Subjective
  1. A pile 4m high driven into the bottom of a lake is 1m above the wat...

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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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