Buoyant Force and Archimedes\' Principle 5. The Pascal\'s vases apparatus shown

Question

Buoyant Force and Archimedes' Principle 5. The Pascal's vases apparatus shown on right consists of differently shaped containers (A and B) connected by a tube. The pressure gauge shows the pressure at the bottom of glass cylinder B. If the apparatus is filled partially with liquid (a) the pressure in liquid will depend on the shape of the container b) the pressure depends only on the height of the surface with respect to a common reference height. (c) larger container gives more pressure on the wall because the container can hold more liquid. (d) None of these. Notice that the diameter of the aluminum container A is larger than the diameter of the glass container B. If water is pored into container A, the surface level of the water in A 6. (a) is higher than the level in container B (b) is lower than the level in container B. (c) The levels are the same. (d) There is not enough information. Explain your choice in Questions 4 and 5. 7. Which dam is better design to hold the snow melt water in the spring? Why?

Explanation / Answer

5.

Gauge pressure is calculated by using below eqn,

P = *g*h

Where = density of fluid, g=gravity, h= height difference

Thus gauge pressure P is depend on only on these three variables and not on any other. It does not depend on shape f the container either.

Hence correct answer is b).the pressure depend n the height of the surface with respect to common reference height.

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