GATE CE 2017 Set 2 — Question 45
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Water Resources Engineering → Fluid Properties & Statics → Manometry
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Question
The figure shows a U-tube having a square cross-section filled with mercury (specific gravity ) up to a height of in each limb (open to the atmosphere).
If of water is added to the right limb, the new height (in cm, up to two decimal places) of mercury in the LEFT limb will be ____________
Correct answer
20.7 to 20.76
Solution
1.Calculate the cross-sectional area () and water column height ():
.Volume of water added .
Height of water column .
2.Determine the shift in mercury levels ():
Let the mercury level in the right limb drop by and rise in the left limb by .Equating pressures at the new mercury-water interface level in the right limb:
Pressure in right limb at interface
Pressure in left limb at same level
.
3.Calculate the new height in the left limb:
New height .Rounding to two decimal places, we get .Continue learning with Success Tracker
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