Answer:
n = 1/5 and m = 3/5
Explanation:
The given quantity is :
Where
The dimension of [A] = [LT]
The dimension of [B] = [L²T⁻¹]
The dimension of [C] = [LT²]
We need to find the dimensions of n and m values.
Using dimensional analysis,
Comparing both sides,
2n+m=1 ....(1)
-n+2m=1 ,.....(2)
Solving (1) and (2), we get :
n = 1/5 and m = 3/5
Hence, this is the required solution.
Considering the definition of pressure, force will have the same units of pressure is multiplied by area.
<h3>What is pressure</h3>Pressure is defined as the force exerted per unit area.
In this way, for the same force, the pressure is inversely proportional to the surface: this means that, for the same force, the smaller the surface, the greater the pressure exerted and the more the body will be deformed.
That is, pressure is defined as the force exerted perpendicularly on a surface and is expressed mathematically as:
In the International System of Units, the unit of pressure is the pascal (Pa). One pascal is the pressure exerted by a force of 1 N distributed over an area of 1 m².
Then, the definition of force can be expressed as:
Force= Pressure× Area
<h3>Summary</h3>In summary, force will have the same units of pressure is multiplied by area.
Learn more about pressure and force:
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