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Mechanical Properties Of Fluids

Question
CBSEENPH11018186

The atmospheric pressure at sea level is 760mm of mercury. At what height it will be 740mm of mercury? Take the density of air 1.293kg/m3 constant upto height about 1 km.

Solution
Given, atmospheric pressure, P1= 760 mm of Hg
Atmospheric pressure, P2 = 740 mm of Hg
Density of air, ρ = 1.293 kg/m3

Let the height at which the atmospheric pressure is decreased be 'h'. 

Now, Pressure due to h height of air = Pressure due to 2 cm or 0.02 m of mercury. 

Threfore,

1.293 x g x h = 13600 x g x 0.02 

              h = 210 m, is the height at which the atmospheric pressure will decrease.