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A sperical ball of radius r and relative...

A sperical ball of radius r and relative density 0.5 is floating in equilibrium in water with half of it immersed in water. The work done in pushing the ball down so that whole of it is just immersed in water is [`rho` is the density of water]-

A

0.25 `rhorg`

B

0.5 `rho` rg

C

`(4)/(3)pir^(3)rhog`

D

`(5)/(12)pir^(4)rhog`

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The correct Answer is:
D
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ALLEN -ELASTICITY, SURFACE TENSION AND FLUID MECHANICS-Exercise 2 (One or more than one correct answer)
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  4. Three blocks, labeled A, B and C are floating in water as shown in the...

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  5. The cylindrical tube of a spray pump has radius R, one end of which ha...

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  6. A ballong filled with air is weighted so that it barely floats in wate...

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  7. A cylindrical container of radius 'R' and height 'h' is completely fil...

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  8. A small uniform tube is bent into a circle of radius r whose plane is ...

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  9. A U-tube of base length l filled with the same volume of two liquids o...

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  10. A U-tube of base length l filled with the same volume of two liquids o...

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  11. A non-uniform rod of mass m, length l and radius r is having its centr...

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  12. A square box of water has a small hole located the bottom corners. Whe...

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  13. Water filled in an empty tank of area 10 A through a tap of cross sect...

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  14. Two very wide parallel glass plates are held vertically at a small sep...

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  15. A piece of cork starts from rest at the bottom of a lake and floats up...

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  16. A sealed tank containing a liquid of density rho moves with horizontal...

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  17. The U-tube shown has uniform cross-section A liquid is filled in the t...

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  18. Water coming out of the mouth of a tap and falling vertically in strea...

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  19. There are two identical small holes on the opposite sides of a tank co...

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  20. A U-tube of uniform cross section (see figure) is partially filled wit...

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