A tube of uniform cross-section A is bent to form a circular arc of radius R, forming three quarters of a circle. A liquid of density r is forced through the tube with a linear speed v as shown in figure. The net force exerted by the liquid on the tube is
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a
34Av2ρ
b
12Av2ρ
c
2 Av2ρ
d
2Av2ρ
answer is C.
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Detailed Solution
Force is the rate of change of momentum. Initial force is ρAv2. Final force is also ρAv2. Since the initial and final forces are perpendicular, net rate of change of momentum is 2Av2ρ