Answer :

(a) Local atmospheric pressure, Patm = 76 cm of Hg


Gauge pressure = mercury height in (Right limb – Left limb)


Absolute pressure = Atmospheric pressure + Gauge pressure


For figure a:


Gauge pressure = 20 cm of Hg


Absolute pressure = 76 + 20 = 96 cm of Hg


For figure b:


Gauge pressure = -18 cm of Hg


Absolute pressure = 76 - 18 = 56 cm of Hg


(b) Relative density of the mercury = 13.6


13.6 cm of water exerts same pressure as 1cm of mercury exerts.


Thus,


Pressure in the right limb, Pr = Atmospheric + 1 cm of Hg


= 76 + 1 = 77 cm of Hg


Pressure in the left limb, Pl = 58 + h cm of Hg


Height difference between limbs, h = 77 - 58 = 19 cm


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