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Question

The liquids shown in figure in the two arms are mercury (specific gravity = 13.6) and water. if the difference of heights of the mercury columns is 2 cm, find the height h of the water column.


A

0.27 cm

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B

27 cm

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C

2 mm

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D

27 dm

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Solution

The correct option is B

27 cm


Suppose the atmospheric pressure = P0

Pressure at A = P0+h(1000 kg m3) g

Pressure at B = P0+(0.02 m)(13600 kg m3) g

These pressures are equal as A and B are at the same horizontal level. Thus,
h=(0.02 m)13.6

=0.27 m=27 cm


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