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Q. A balloon of volume $1500 \,m ^{3}$ and weighing $1650\, kg$ with all its equipment is filled with He (density $0.2\, kg m ^{-3}$ ). If the density of air be $1.3 \,kgm ^{-3}$, the pull on the rope tied to the balloon will be

Mechanical Properties of Fluids

Solution:

Pull on the rope $=$ effective weight
$=[1650+(1500 \times 0.2)-1500 \times 1.3]\, kgf $
$=1650+300-1950=0$