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Consider a uniform U-tube with a diaphragm at the bottom and filled with a liquid to different heights in each limb as shown in Fig. Now imagine that the diaphragm is punctured so that the liquid flows from left to right. (a) Show that the application of Bernoulli's particle to points (1) and Diaphragm (2) leads to a constradiction. (b) Explain why Bernoulli's principle is not applicabe here

Answer» <html><body><p></p>Solution : <a href="https://interviewquestions.tuteehub.com/tag/let-11597" style="font-weight:bold;" target="_blank" title="Click to know more about LET">LET</a> the height of the liquid in the <a href="https://interviewquestions.tuteehub.com/tag/limbs-1073960" style="font-weight:bold;" target="_blank" title="Click to know more about LIMBS">LIMBS</a> (1) and (<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>) be` y_1 and y_2` and the velocity of the liquid be `v_1 and v_2` respectively. Applying Bernoulli.s equation to the points (1) and (2) <br/> ` "" P + (1)/(2) rho v_1^(2)= P+ (1)/(2)rho v_2^(2)+ rho gy_2` <br/>Where P is the atmospheric pressure <br/>But ` ""v_1 =v_2=0 ` <br/>` therefore ""rho gy_1= rho gy_2` <br/> `"" y_1= y_2` <br/>This is a contradictionbecause `y_1 ` is not equal to `y_2` <br/> (b)Bernouli.s <a href="https://interviewquestions.tuteehub.com/tag/principle-1166255" style="font-weight:bold;" target="_blank" title="Click to know more about PRINCIPLE">PRINCIPLE</a> cannot be applied here because the flow is not steady.</body></html>


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