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Question

Height of a mercury column is given as 76 cm of Hg in a barometer. Find the height of the column of a liquid of density 1.2 g/cc would be neccessary to balance atmospheric pressure
Given: Density of mercury = 13600 kg/m3

A
546.8 cm
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B
742.6 cm
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C
432.5 cm
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D
861.3 cm
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Solution

The correct option is D 861.3 cm
Let the height of the mercury column be h cm.
Pressure corresponding to 76 cm height of mercury column = ρ×g×h = 13.6×g×76cm
Pressure corresponding to height h = 1.2×g×h cm
Equating them we get,
13.6×g×76cm = 1.2×g×h cm
h = 861.3 cm

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