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


Mercury barometer will register more pressure than water barometer. This is because of the following reasons: 

i) Mercury is around 14 times heavier than water i.e., it is denser than water.

ii) The vapour pressure of mercury is low as compared to that of water. So, mercury will be more sensitive to changes in the atmospheric pressure and rises more quickly to record the changes in the atmospheric pressure. 
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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.

The density of air decreases with height. At sea level the atmospheric pressure is not always 760 mm of Hg. There is a decrease in the Hg level. 
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Does the liquid exert any force on the walls of container?

Yes, liquid exerts pressure and hence force on the walls of the container due to the height of the column of liquid.
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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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Explain why?

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

When a force is applied at any point, hydrostatic pressure is transmitted equally in all directions and not just in a particular direction. 
This the reason pressure is a scalar quantity even though force is a vector. 
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