= Area of pipe 1, = Area of pipe 2, = Speed of fluid in pipe 1, = Speed of fluid in pipe 2
From the law of continuity, we have
=
When the area of cross-section in the middle of the venturimeter is small, the speed of the flow of liquid through this part is more. According to Bernoulli's principle, if speed is more, the pressure is less. Pressure is directly proportional to height, hence the level of water in pipe 2 is less. Therefore, figure (a) is not possible.
<p>Take the case given in figure (b)</p><div><div><picture><source srcset="https://images.shiksha.com/mediadata/images/articles/1728458768php6loFt0_480x360.jpeg" media=" (max-width: 500px)"><img src="https://images.shiksha.com/mediadata/images/articles/1728458768php6loFt0.jpeg" alt="" width="186" height="104"></picture></div></div><p><span title="Click to copy mathml"><math><msub><mrow><mrow><mi>A</mi></mrow></mrow><mrow><mrow><mn>1</mn></mrow></mrow></msub></math></span> = Area of pipe 1, <span title="Click to copy mathml"><math><msub><mrow><mrow><mi>A</mi></mrow></mrow><mrow><mrow><mn>2</mn></mrow></mrow></msub></math></span> = Area of pipe 2, <span title="Click to copy mathml"><math><msub><mrow><mrow><mi>V</mi></mrow></mrow><mrow><mrow><mn>1</mn></mrow></mrow></msub></math></span> = Speed of fluid in pipe 1, <span title="Click to copy mathml"><math><msub><mrow><mrow><mi>V</mi></mrow></mrow><mrow><mrow><mn>2</mn></mrow></mrow></msub></math></span> = Speed of fluid in pipe 2</p><p>From the law of continuity, we have</p><p><span title="Click to copy mathml"><math><msub><mrow><mrow><mi>A</mi></mrow></mrow><mrow><mrow><mn>1</mn></mrow></mrow></msub><msub><mrow><mrow><mi>V</mi></mrow></mrow><mrow><mrow><mn>1</mn></mrow></mrow></msub></math></span> = <span title="Click to copy mathml"><math><msub><mrow><mrow><mi>A</mi></mrow></mrow><mrow><mrow><mn>2</mn></mrow></mrow></msub><msub><mrow><mrow><mi>V</mi></mrow></mrow><mrow><mrow><mn>2</mn></mrow></mrow></msub></math></span></p><p>When the area of cross-section in the middle of the venturimeter is small, the speed of the flow of liquid through this part is more. According to Bernoulli's principle, if speed is more, the pressure is less. Pressure is directly proportional to height, hence the level of water in pipe 2 is less. Therefore, figure (a) is not possible.</p>
Bernoulli's principle states that in a steady flow, the sum of pressure, kinetic energy per unit volume, and potential energy per unit volume remains constant.
Yes, the Mechanical properties of fluids class 11th physics is important in NEET. On average, 1-2 questions would be asked from this chapter, which you can cover from the Class 11th Mechanical Properties of Fluids notes.
The main mechanical properties of fluids are exerting pressure, resisting flow or viscosity, forming surface tension, following Bernoulli's principle, and moving in a streamline.
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