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Which one of the following statements is true regarding pressure?
  • a)
    Pressure is a vector quantity
  • b)
    Pressure is a vector quantity only when the area is infinitesimally small.
  • c)
    Pressure is a scalar quantity only when the area is infinitesimally small
  • d)
    Pressure is a scalar quantity
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Which one of the following statements is true regarding pressure?a)Pre...
Explanation:Pressure is defined as the force per unit area acting normal to a surface. Both force and area are vectors. but the division of one by the other leads to a scalar quantity.
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Which one of the following statements is true regarding pressure?a)Pre...
Pressure in Civil Engineering

Introduction:
Pressure is a fundamental physical quantity that finds its application in various fields of engineering, including civil engineering. It is defined as the force acting per unit area, and its SI unit is Pascal (Pa).

Scalar Quantity:
The pressure is a scalar quantity because it has only magnitude and no direction. The pressure at a point is the same in all directions, and it does not have any specific direction associated with it. For example, the pressure exerted by a fluid on the walls of a container is the same in all directions.

Vector Quantity:
A vector quantity has both magnitude and direction. Pressure can become a vector quantity only if the area is infinitesimally small. In such a case, the pressure will have a direction perpendicular to the area, and its magnitude will be the same as that of the scalar pressure. However, this situation is practically impossible, and therefore, pressure is always considered as a scalar quantity in civil engineering.

Applications:
Pressure finds its application in various fields of civil engineering, such as:
- In hydraulics, pressure is used to determine the flow rate of fluids through pipes and channels.
- In geotechnical engineering, pressure is used to determine the stability of soil and rock masses under different loading conditions.
- In structural engineering, pressure is used to calculate the stresses and deformations in building materials under different loads.

Conclusion:
In conclusion, pressure is a scalar quantity in civil engineering, and it has no direction associated with it. It is an essential physical quantity that finds its application in various fields of engineering, including civil engineering.
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