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Mechanical Properties of Fluids

A balloon filled with helium does not rise in air indefinitely but halts after a certain height. Why?

When a balloon is filled with helium, there is an inner pressure because of which the balloon expands more and more as it goes higher. But as the balloon goes higher, the atmospheric pressure also decreases. This is why the balloon ultimately stops after reaching a certain height.

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We have two barometers. One barometer contains mercury and second water. Which one will register more pressure? (Neglect the surface tension effect).

Explain why?

Hydrostatic pressure is a scalar quantity even though pressure is force divided by area.

Does the liquid exert any force on the walls of container?

Atmospheric pressure at a height of about 6 km decreases to nearly half its value at the sea level, though the height of the atmosphere is more than 100 km. Explain why.

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