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
A) 27 cm
B) 23 cm
C) 25 cm
D) 29 cm
Correct Answer: A
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
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