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A barometer having a cross - sectional area of 1.00 cm2 at sea level measures a pressure of 76.0 cm of Hg. The pressure exerted by this column of mercury is equal to the pressure exerted by  the air on 1 cm2 of the earth's surface. The total mass of earth's atmosphere is___. (Average radius of earth is p km and density of mercury is 13.6 g/ml)



Solution

The correct option is A


Pressure=ForceArea=mass×accelerationarea

hdg=m×g4πr2m=hd4πr2

m=0.76×13.6×103×4πP×1032

= 4πP2×0.76×13.6×109 kg

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