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  4. The liquid arms of an U-tube is shown in figure below. The shaded part represents the mercury (specific gravity 13.6) and other liquid is water. If the difference between height of mercury in either column is 2 cm, then height of water column is

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Q. The liquid arms of an U-tube is shown in figure below.
The shaded part represents the mercury (specific gravity 13.6) and other liquid is water. If the difference between height of mercury in either column is 2 cm, then height of water column isPhysics Question Image

VMMC MedicalVMMC Medical 2015

Solution:

Suppose, the atmospheric pressure is $ {{p}_{0}}. $ Pressure at $ A={{p}_{0}}+h(1000\text{kg}\,{{\text{m}}^{-3}})g $ Pressure at $ B={{p}_{0}}+h(0.02\,\text{m})(13600\text{kg}\,{{\text{m}}^{-3}})g $ These pressures, at A and B are equal because points are on the some horizontal level. Thus, $ h=0.02\times 13.6m $ = 0.27 m or 27 cm