Answer :

Given:


Height of the spirit column (h1) = 12.5 + 15 = 27.5 cm


Height of the water column (h2) = 10 + 15 = 25 cm


Density of spirit (ρ1) = 1 gm/cc


Density of spirit (ρ2) = 0.8 gm/cc


Density of mercury (ρ) = 13.6 gm/cc


Mercury rises because of the differences in pressure exerted by the columns of water and spirit.


Pressure due to height h of mercury column = ρgh


= (13.6gm/cc) × (980 cm/s) × (h cm)


Differences in pressures due to water and spirit = ρ1gh12gh2


= (1 × 980 × 25)-(0.8 × 980 × 27.5)


= 2940 gm/cm2s


Pressure due to height h of mercury = Differences in pressures due to water and spirit


13.6 × 980 × h = 2940


h = 0.2205 cm


Difference in the levels of mercury in two columns is 0.2205.


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