PhysicsWater is falling down at the rate of 1.8 kg per minute from a vertical tube. The radius at the bottom of the tube is 0.004 m and pressure around it is 0.76m of Hg. The diameter of the tube at a height of 0.5 m from the bottom is 0.005 m. Find the pressure at that point.

Water is falling down at the rate of 1.8 kg per minute from a vertical tube. The radius at the bottom of the tube is 0.004 m and pressure around it is 0.76m of Hg. The diameter of the tube at a height of 0.5 m from the bottom is 0.005 m. Find the pressure at that point.

  1. A

    0.724 m of Hg

  2. B

    0.824 m of Hg

  3. C

    0.924 m of Hg

  4. D

    0.624 m of Hg

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    Solution:

    mt=Avρ=πr2ρv
    v1=(1.8/60)(3.14)52×1032×103=1.5ms1A1v1=A2v2v2=r1r22v1p1+12ρv12+ρgh=p2+12ρv22p1=p2+12ρv22v12ρgh=p2+12ρv12r1r221ρgh 
    =1.013×105+12×103×2.25×0.005/20.00421103×9.8×0.5=0.72m of Hg

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