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KVPY SA Exam 2015 Question Paper

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Question : 70

Total: 80

Stoke’s law states that the viscous drag force F experienced by a sphere of radius a, moving with a speed v through a fluid with coefficient of viscosity η , is given by F=6πηav
If this fluid is flowing through a cylindrical pipe of radius r, length l and a pressure difference of P across its two ends, then the volume of water V which flows through the pipe in time t can be written as

)aηbrc,
where k is a dimensionless constant. Correct values ofa, b and c are

a=1,b=−1,c=4
a=−1,b=1,c=4
a=2,b=−1,c=3
Insufficient data

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