Question

Pressure varies with force $(F)$ as:
A) $F$
B) $\dfrac{1}{F}$
C) ${F^2}$
D) $\dfrac{1}{{{F^2}}}$

Answer 1

Hint: The solution to this question is totally based on the definition of pressure. If we know the definition and the mathematical representation of pressure, then we can easily conclude with the correct solution of the given question.

Complete solution:
First of all let us define the pressure.
We define pressure as the ratio of force acting on a body to the unit area of the body. Mathematically, we can represent it as, $P = \dfrac{F}{A}$.
From the above equation in step one; we can conclude that the pressure depends on two criteria, i.e. force and area. Also, we can see that pressure is directly proportional to force exerted on a body and inversely proportional to the area of the body.
Therefore, we can conclude that pressure varies directly with the force.

Hence, option (A), i.e. $F$ is the correct choice of the given question.

Note: Pressure is a scalar quantity. It varies directly with the force and indirectly with the area. If the area of contact is less than more pressure will be exerted and if the area of contact is more than the value of pressure exerted will be more. Force: As we know that force is the pull or push when applied on a body makes the body change its position or shape. It depends on the mass and acceleration of the body. Mathematically, it is given by, $F = ma$
Area: The space occupied by any surface of an object or body is known as the area of that body. It depends on the shape of the body or object.