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A water drop of diameter 2 mm is split u...

A water drop of diameter 2 mm is split up into `10^(9)` identical water drops. Calculate the work done in this process. (the surface tension of water is `7.3xx10^(-2)Nm^(-1))`

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To solve the problem of calculating the work done when a water drop of diameter 2 mm is split into \(10^9\) identical water drops, we can follow these steps: ### Step 1: Determine the radius of the initial drop The diameter of the initial drop is given as 2 mm. Therefore, the radius \( R \) can be calculated as: \[ R = \frac{\text{Diameter}}{2} = \frac{2 \, \text{mm}}{2} = 1 \, \text{mm} = 1 \times 10^{-3} \, \text{m} \] ...
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NARAYNA-MECHANICAL PROPERTIES OF FLUIDS-EXERCISE - III
  1. A water drop of diameter 2 mm is split up into 10^(9) identical water ...

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  2. A rectangular vessel when full of water takes 10 minutes to be emptied...

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  3. An air bubble of radius 1 cm rises from the bottom portion through a l...

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  4. The terminal speed of a sphere of gold (density = 19.5 kg m^(-3)) is 0...

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  5. Water is filled in a cylindrical container to a height of 3m. The rati...

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  6. A candle of diameter d is floating on a liquid in a cylindrical contai...

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  7. When a body falls in a air, the resistance of air depends to a great e...

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  8. The heart of a man pumps 5 liters of blood through the arteries per mi...

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  9. Water rises to height h in capillary tube. If the length of capillary ...

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  10. The value of coefficient of volume expansion of glycerin is 5 xx 10^(-...

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  11. The approximate depth of an ocean is 2700 m. The compressibility of wa...

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  12. By sucking a straw a student can reduce the pressure in his lungs to 7...

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  13. A drop of water of radius 0.0015 mm is falling in air .If the cofficie...

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  14. A spherical body of diameter D is falling in viscous medium. Its termi...

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  15. A non-viscous fluid of constant density of 1000kg//m^(3) flows in stre...

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  16. The work done in increasing the size of a rectangular soap film with d...

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  17. Surface area of a soap bubble is 1.3xx10^(-4) m^2. The work done to ...

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  18. If the radius of a soap bubble is four times that of another, then the...

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  19. Two small drops of mercury, each of radius R, coalesce to form a singl...

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  20. A frame made of metalic wire enclosing a surface area A is covered wit...

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  21. The potential energy of molecule on the surface of a liquid as compare...

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