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Ask iit jee aieee pet cbse icse state board experts Expert Question: DC Pandey problem...plz Help!!!
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parth0708 (0)

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Could u guys plz help me out wid DC Pandey Vol. 2  Mechanics Fluid Level 2 subjective problem no. 9 on page no. 283!!!

    
varun.tinkle (1054)

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The shape of an ancient water clock jug is such that water level descends at a constant rate at all times (4 cm every hour)...determine the shape of the jar, i.e., specify x as a function of y. Radius of drain hole is 2 mm and can be assumed to be very small as compared to x.   


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Volume \ flowing \ out =<br/>\pi r^2 \sqrt{2gy}=\\ \\<br/>\pi x^2\frac{-dy}{dt} \\ \\<br/>r^2=4*10^{-6} \\ \\<br/>\frac{-dy}{dt}=\frac{4*10^{-2}}{3600}\\ \\<br/>=1.1*10^{-5}\\ \\<br/>Substituting , we \ get \\ \\<br/>4*10^{-6}\sqrt{2gy}=1.1*10^{-5} x^2\\ \\<br/>\sqrt{2gy}=2.75x^2 \\ \\<br/>2gy= 7.5625x^4 \\ \\<br/>y=0.38x^4


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iitkgp_bipin (5793)

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Guys please post the complete question.

Bipin Kumar Dubey
Chemical Dept.
IIT Kharagpur

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