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Q.

A non-viscous liquid of constant density 500kg/m3 flows in a variable cross-sectional tube. The area of cross-section of the tube at two points P and Q at heights of 3m and 6m are 2×10−3 m2 and 4×10−3 m2 respectively. the work done per unit volume by the forces of gravity as the fluid from point P to Q is:

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a

29.4 J/m3

b

−1.47×104 J/m3

c

−2.94×104 J/m3

d

none of the above

answer is B.

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Detailed Solution

Work done per unit volume by force of gravity =− change in PE per unit volume∴ W=−ΔU=−ρg(h2−h1) =−ρg(6−3) =−3×500×9.8 =−1.47×104J/m3

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A non-viscous liquid of constant density 500kg/m3 flows in a variable cross-sectional tube. The area of cross-section of the tube at two points P and Q at heights of 3m and 6m are 2×10−3 m2 and 4×10−3 m2 respectively. the work done per unit volume by the forces of gravity as the fluid from point P to Q is: