Question

The factors, on which pressure depends are surface area and ……………
A. Atmospheric Pressure
B. Force applied
C. Shape of surface
D. Mass of the body

Answer 1

As we all know that to find the intensity of force we must apply it on a body. The force applied is just the effort, its effect depends on the part of the object it is applied. For example, a force applied by a hammer on the body and a force applied by a pin on the body, both have different effects.
We should keep in mind that pressure is the force applied to the unit area of the surface. Pressure can be represented as:
$P = \dfrac{F}{A}$
Here $P$ is the pressure, $F$ is the force applied and $A$ is the surface area. Therefore, we can see that pressure depends on force and surface area.

Complete step by step answer:
Pressure has the characteristics of the proportionality factor. The area is something that gives us direction and pressure is defined everywhere in the volume of the bulk and not just only at the surface. Gas inside the container has pressure everywhere overall the bulk volume.
We can say that pressure is a tensor but frankly speaking that for isotropic gas it is a scalar.
Therefore, the pressure depends on the force applied and the surface area of the body.

$\therefore$ The correct option is (B).

Note:
As we all know that pressure is directed normally towards the surface area, it has only one direction that is normal to the surface then in that case it is scalar. But if both the force and area have directions then, in that case, it is no more scalar and it becomes a tensor and in that case, we are talking about the negative of the stress tensor. This is because at many times we refer to stress tensor as pressure tensor.