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