Variation of Pressure in Liquids with depth
Variation of Pressure in Liquids with depth
Variation of Pressure in Liquids With Depth: When we swim in a river, we feel the water pressure acting against our eardrums. The deeper we swim, the greater the pressure. The cause of this pressure is the weight of the fluid, water plus air directly above us. As we swim deeper, there is more water above us. Thereofore, there is more pressure. If we swim twice as deep, there is twice the weight of water above us, so the water contribution to the pressure felt by us is doubled. The pressure due to a liquid also depends upon its density.
Mathematical expression for fluid pressure
Let us consider a liquid of density in a beaker of base area A. If h be the height of the liquid column then
Volume of liquid in beaker,
Force (or thrust) acting at the bottom of the beaker is given by
F = Weight of liquid = mg
Pressure at the bottom of the beaker
Thus, we observe that pressure at a depth h due to a liquid column is directly proportional to
Q. Calculate the average density of the atmosphere, given that it extends to an altitude of 120 km. Compare this density with that of the air.
Solution : If we solve
Here, we can take P = atmospheric pressure, h (height) is known and g(accelaeration due to garvity) also known.
Entering the value in the value of ,
Q. Calculate the depth below the surface of water at which the pressure due to the weight of water equals 1.00 atm.
Solution: As we know that
The depth of liquid increases, the weight of liquid column pushing down from above increases, and the pressure _________________________. | |||
| Right Option : A | |||
| View Explanation | |||
The greater the height, the _______________________ the pressure. | |||
| Right Option : A | |||
| View Explanation | |||
Which of the following are correct : (a) The deeper we swim, the greater the pressure. (b) The deeper we swim, the smaller the pressure. (c) The pressure due to a liquid depends upon its density. | |||
| Right Option : C | |||
| View Explanation | |||
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