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Water coming out of the mouth of a tap and falling vertically in stream line flwo forms a tapering column. i.e., the area of cross-section of the liquid column decreases as it moves down which of the following is the most accurate explanantion for this-

A

As the moves down, its speed increases and hence its pressure decreases. It is then compressed by the atmosphere.

B

Falling water tries to to reach a terminal velocity and hence reduced the area of cross-section to balance upward and downward force.

C

The mass of water flowing past and cross-section must remain constant. Also, water is almost incompressible. Hence the rate of volume flow must remain constant. As this is equal to velocity x area, the area decreases as velocity increases.

D

The surface tension causes the exposed surface area of the liquid to decrease continuously.

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The correct Answer is:
C
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ALLEN-ELASTICITY, SURFACE TENSION AND FLUID MECHANICS-Exercise 2 (One or more than one correct answer)
  1. A sealed tank containing a liquid of density rho moves with horizontal...

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

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

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

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

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  6. A homogeneous solid cylinder of length L(LltH/2), cross-sectional area...

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  7. A mercury manometer is connected as shown in the figure. The differenc...

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  8. An open pan P filled with water of density (rhow) is placed on a verti...

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  9. A small ball is left in a viscous liquid form very much height correct...

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  10. A cubical block of side a and density rho slides over a fixed inclined...

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  11. A space 2.5cm wide between two large plane surfaces is filled with oil...

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  12. A large drop of oil whose density is less than that of water, floats ...

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  13. If the terminal speed of a sphere of gold (density =19.5kg//m^3) is 0....

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  14. A spherical ball is dropped in a long column of viscous liquid. Which ...

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  15. A small sphere of mass m is dropped from a aheight After it has fallen...

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  16. The wires A and B shown in Fig. are made of the same material and have...

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  17. When a capillary tube is dipped in a liquid, the liquid rises to a hei...

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  18. A massless conical flask filled with a liquid is kepth on t a table in...

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  19. The vessel shown in the figure has a two sections of areas of cross-se...

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  20. A liquid flows through a horizontal tube. The velocities of the liquid...

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