First slide

Fluid statics

Question

A balloon filled with Helium gas cannot continue to rise indefinitely. This happens because

Moderate

A

Size of the balloon gradually decreases, hence, buoyant forces decreases
B

Size of balloon increases, hence, buoyant forces increases
C

Weight of the gas filled balloon gradually decreases
D

Density of air decreases, hence, buoyant forces decreases

Solution

As the balloon rises, density and pressure of air decrease. As a result volume of the balloon increases. Buoyant force $B = ρ V g$ . Effect of decrease in density dominates over the effect of increase in volume. Hence buoyant force decreases and the balloon stops rising further.

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