Take a cylindrical container of height 2 metres and area of cross section 20 square cm. Fill it completely with water. Make a hole at a height of 0.5m, 1m and 1.5m from the bottom. What will you observe if the container is taken to the mountain?
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The atmospheric pressure on the mountains is less than at sea level. However the speed of water coming out of the hole does not depend on the atmospheric pressure.
P_atm cancels out as it is present at the top of the container and at the outside of the hole.
Speed of water coming out of hole is dependent on the depth of the hole from the surface of water. The middle hole sends water to the largest horizontal range = √(2 * h /g), initially.
Bernoulli's principle: v^2/ 2 + P / ρ + g h = constant
P_atm cancels out as it is present at the top of the container and at the outside of the hole.
Speed of water coming out of hole is dependent on the depth of the hole from the surface of water. The middle hole sends water to the largest horizontal range = √(2 * h /g), initially.
Bernoulli's principle: v^2/ 2 + P / ρ + g h = constant
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