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The right limb of a simple U-tube manometer containing mercury is open to the atmosphere while the lift limb is connected to a pipe in which a fluid of specific gravity 0.85 is flowing. The centre of the pipe is 14 cm below the level of mercury in the right limb.Evaluate the pressure of fluid flowing in the pipe if the difference of mercury level in the two limbs is 22 cm.

(a) 2.86 N/cm^2

(b) 5.73 N/cm^2

(c) 1.43 N/cm^2

(d) None of the mentioned

The question was posed to me in an interview for internship.

I would like to ask this question from Measurement of Pressure, Simple and Differential Manometers topic in chapter Pressure and Its Measurement of Fluid Mechanics

1 Answer

+1 vote
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Best answer
Right option is (a) 2.86 N/cm^2

Easy explanation: Pressure at centre of pipe + Pressure at depth 8 cm in left limb = Pressure at depth 22 cm in right limb

P = 13600×9.81×0.22 – 850×9.81×.08

   =  2.86 N/cm^2.

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