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Grade: 12th pass

                        

The speed v of sound waves in air depends on the atmospheric pressure P and density r of the air. By using the method of dimensional analysis, find an expression for v in terms of P and p.

7 months ago

Answers : (2)

Arun
24737 Points
							
The speed  of sound in air depends upon the pressure  and density of air .
Therefore,
.
Let, 
Dimensions of velocity, .
Dimensions of pressure, .
Dimensions of density, .
Comparing the dimensions of both sides of relation (1), we get,
which gives,
Using these values,
where,  is the constant of proportionality.
 
7 months ago
Vikas TU
12153 Points
7 months ago
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