Question:
The $SI$ unit of pressure gradient is
The $SI$ unit of pressure gradient is
Updated On: Jul 7, 2022
- $N\,m^{-2}$
- $N\,m$
- $N\,m^{-1}$
- $N\,m^{-3}$
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The Correct Option is D
Solution and Explanation
Pressure gradient $=\frac{\text{Pressure}}{\text{Distance}}$
$\because$ The $SI$ unit of pressure is $N \,m^{-2}$ and distance is $m$.
$\therefore$ The SI unit of pressure gradient is $N\, m^{-3}$.
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Concepts Used:
Pressure
Pressure is defined as the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Everyday examples of pressure are:
- The working of the vacuum cleaner is an example of pressure. The fan inside the vacuum creates a low-pressure region which makes it easy to suck the dust particles inside the vacuum.
- Using a knife for cutting is another example of pressure. The area exposed from the knife is small but the pressure is high enough to cut the vegetables and fruits.
Formula:
When a force of ‘F’ Newton is applied perpendicularly to a surface area ‘A’, then the pressure exerted on the surface by the force is equal to the ratio of F to A. The formula for pressure (P) is:
P = F / A
Units of Pressure:
The SI unit of pressure is the pascal (Pa)
A pascal can be defined as a force of one newton applied over a surface area of a one-meter square.