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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 2×103 m2  and 4×103 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(h2h1)

=ρg(63)

=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: