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Question: Pressure varies with force F as \[F\] A. \[F\] B. \[{F^{ - 1}}\] C. \[{F^2}\] D. \[{F^{ - 2}...

Pressure varies with force F as FF
A. FF
B. F−1{F^{ - 1}}
C. F2{F^2}
D. F−2{F^{ - 2}}

Explanation

Solution

Pressure depends on the amount of force and the area over which the force is applied. Pressure is the measure of how much force is acting upon an area.
Pressure is given by the equationP=FAP = \dfrac{F}{A}
Pressure exerted on a surface by an object will increase if the weight of the object will increase or the area of contact is decreased.

Complete step by step answer: Pressure is defined as the force applied perpendicular to the surface of an object per unit area over which that force is distributed. Pressure is the scalar quantity which relates the vector area with the normal force acting on it.
We know the relation between the pressure and then force is given by the formula
P=FAP = \dfrac{F}{A}, here F is the force and A is the Area on which pressure is applied.
From the above relation we can see the pressure is directly proportional to the Force applied and inversely proportional to the area in which force is being applied.
Hence we can say pressure varies with force F as P∝FP \propto F
Option A is correct.

Note: Students must note that while walking more pressure is exerted while standing on both feet because while walking only one feet is in contact with ground but while standing both the feet are in contact with the ground, area of contact while walking is less.