Pascal’s Law states that_________

  1. pressure in a fluid at rest is the same at all points if they are at the same height
  2. pressure in a fluid at motion is the same at all points if they are at the same height
  3. Force acting on an object immerged in a fluid is same at all points if they are at the same height
  4. When a body is immersed in a liquid, an upward thrust, equal to the weight of the liquid displaced, acts on it 

Answer (Detailed Solution Below)

Option 1 : pressure in a fluid at rest is the same at all points if they are at the same height
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Detailed Solution

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CONCEPT:

  • According to Blaise Pascal, a French scientist observed that the pressure in a fluid at rest is the same at all points if they are at the same height and it is termed Pascal’s Law.

F2 J.S 7.7.2 Pallavi D 1

  • i.e., the pressure exerted by the fluid on an object at a certain height will be the same in all directions.

and hence it can be expressed as

\({P_a} = {P_b} = {p_c} \Rightarrow \frac{{{F_a}}}{{{A_a}}} = \frac{{{F_b}}}{{{A_b}}} = \frac{{{F_c}}}{{{A_c}}}\)

  • From the above fig. we can see that the force against area within a fluid at rest will always experience pressure perpendicular to their surface area, and the object will experience equal pressure throughout the surface.
  • And there are a number of devices, such as hydraulic lift and hydraulic brakes, are based on Pascal’s law, these devices used fluids for transmitting pressure.

EXPLANATION:

  • From the above explanation we can see that according to Pascal’s law, pressure in a fluid at rest is the same at all points if they are at the same height.
  • This means option one is correct among all.
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