Question

Which one of the following statements about the pressure caused by a force acting on an area, is not correct?
A. The greater the area, the greater the pressure.
B. A larger area will produce a smaller pressure.
C. As the area gets smaller, the pressure increases.
D. The greater the force, the greater the pressure.

Answer 1

Hint: Before we get into the question, let's review the basics of pressure. The physical force exerted on an object is defined as pressure. The force applied per unit area is perpendicular to the surface of the objects. \[\dfrac{F}{A}\] is the basic pressure formula (Force per unit area). Pascals \[\left( {Pa} \right)\] are the unit of pressure.

Complete step by step answer:
The physical force exerted on an object is referred to as pressure. Pressure is defined as the force applied perpendicular to an object's surface per unit area of that surface. Pressure can be stated numerically as,
\[\text{Pressure} = \;\dfrac{\text{Force applied}}{\text{Area of contact}}\,\]
$P = \dfrac{F}{A}$
Where \[P\] denotes the pressure on the object, \[F\] is the force applied to the object, and \[A\] denotes the area of contact between the force and the object's surface. As a result, we can write,
$P \propto \dfrac{1}{A}$
As a result, pressure is inversely proportional to contact area. Hence, as a result, the greater the area, the lower the pressure.

So, the correct option is A.

Additional Information: The SI unit system uses Newton as the unit of force and square metres as the unit of area.As a result, the pressure unit in SI units will be \[N{m^{ - 2}}\]. The pressure dimension will be \[\left[ {{M^1}{L^{ - 1}}{T^{ - 2}}} \right]\]. Atmospheric pressure is the pressure provided by the earth's atmosphere at the surface or at sea level.The pressure owing to fluid on an object at a particular depth is defined as hydrostatic pressure.The hydrostatic pressure is denoted as,
\[P = \rho gh\]
Where $\rho $ is the density of the fluid, \[g\] is gravity's acceleration, and \[h\] is the depth of the item in the fluid.

Note: It should be emphasised that point forces are area independent. When measuring pressure on an item, we take the perpendicular component of the force to the body's surface. Because pressure is scalar, it has no direction.