Question:

Two narrow capillary tubes A and B are of lengths ( and 111 and of same radius r. The rate of flow of water through the tube A under a constant pressure head P is 3 $ \sqrt{\text{49}0}\text{ m}/\text{s} $ . If A and B are connected in series and the same pressure difference P is maintained between the ends of the composite tube, then the rate of flow of water is :

Updated On: May 12, 2024
  • $ \sqrt{\text{4}\text{.9}}\text{ m}/\text{s} $
  • $ 8\sqrt{3} $
  • $ 2\sqrt{3}cm $
  • none of these
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The Correct Option is C

Solution and Explanation

For tube $ 1:\sqrt{3} $ $ 7.9\times {{10}^{4}}K $ For the composite tube $ 3.5\times {{10}^{4}}K $ $ 5.8\times {{10}^{4}}K $
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Concepts Used:

Surface Tension

The amount of energy required to increase the liquid's surface area by one unit area is known as surface tension. In other words, it is a property of the liquid surface to resist force.

Surface tension is defined as,

The ratio of the surface force F to the length L along which the force acts.

Mathematically, the surface tension formula can be expressed as follows:

T=F/L

Where,

  • F is the force per unit length
  • L is the length in which force act
  • T is the surface tension of the liquid

Read More: Detergents and Surface Tension

Factors affecting surface tension:

  • Impurities: The surface tension decreases with the addition of impurities.
  • Surfactants: Adding surfactants in liquids lowers the tension of water making it interrupt aside or get susceptible.
  • Temperature: The surface tension of a liquid reduces as the temperature rises.

The Unit of Surface Tension:

The SI unit of Surface Tension is Newton per Meter or N/m.