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Prove that the pressure exerted by water...

Prove that the pressure exerted by water at the bottom of the container depends on the height of its column.

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To prove that the pressure exerted by water at the bottom of a container depends on the height of its column, we can follow these steps: ### Step 1: Understand the Concept of Pressure Pressure (P) is defined as the force (F) applied per unit area (A). Mathematically, it is expressed as: \[ P = \frac{F}{A} \] ### Step 2: Identify the Forces Acting on the Water In a container filled with water, the force exerted by the water column above a certain point is due to the weight of the water. The weight (W) of the water can be expressed as: ...
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A container of filled with water to a height of 10 m. The pressure exerted by the water at the bottom of the container is _________ .

When a metallic sphere is released from the surface of water filled in a container of uniform area of crosssection it is found to reach the bottom of the container in 2 s. If the density of the material of the sphere is 4.9 g cm^(- 3) , calculate the pressure exerted by the liquid at the bottom of the container. Assume that only gravitational force and upthrust act on the body.

Knowledge Check

  • The pressure exerted by a liquid column at the bottom of the liquid container is

    A
    does not depend on the area of cross-section of container.
    B
    dependent on the density of the liquid.
    C
    equal in all directions.
    D
    All the above are true
  • Pressure exerted by a liquid on the base of the container is due to its :

    A
    weight
    B
    mass
    C
    volume
    D
    none of these
  • The pressure exerted by the gas on the walls of a container is measured by

    A
    rate of change of momentum imparted to walls perr unit area of the wall
    B
    momentum imparted to walls per unit area
    C
    change of momentum imparted to wall sperr unit area
    D
    change of momentum pe unit volume
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    The pressure at the bottom of a tank containing a liquid does not depends on

    When two liquids A and B of equal weight are filled inside two identical containers, the height of the liquid Column A is greater than the height of the liquid Column B. If P_(A)andP_(B) are the pressures exerted by A and B at the bottom of the containers, respectively, and d_(A),d_(B) are the densities of A and B, respectively, which of the following statements is true ?

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