Grade 12th passMechanics

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.

Jetmal

6 Years agoGrade 12th pass

2 Answers

Arun

6 Years ago

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.

Vikas TU

6 Years ago

Dear student

Please follow the link below

https://www.askiitians.com/forums/Mechanics/the-speed-v-of-sound-waves-in-air-depends-on-the-a_259299.htm

Good Luck

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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.

Jetmal

2 Answers

Arun

Vikas TU

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