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Q.

In a horizontal pipeline of uniform cross section the pressure falls by 8N/m2 between two points separated by 1 km. If oil of density 800 kg/m3 flows through the pipe, find the change in KE per kg of oil at these points.

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a

102J/kg

b

103J/kg

c

104J/kg

d

101J/kg

answer is A.

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Detailed Solution

According to Bernoulli's theorem

p1+12ρv12=p2+12ρv22

p1p2=12ρv22v12;p1p2ρ=12v22v12

Change in kinetic energy per kilogram mass of oil is

p1p2ρ=8800=102J/kg.

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