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Mechanics

Blazing goIITian

 Joined: 24 Dec 2007 Post: 1111
6 Jan 2009 14:20:37 IST
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4
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Find Ratio Of Pressure Amplitudes
Engineering Entrance , Medical Entrance , AIPMT , JEE Main , AIIMS , JEE Advanced , Physics , Mechanics

2 sound waves in the same direction have average power transmitted in the ratio 1:1

Also ration of their wavelengths lambda1/lambda2 = 1:2

Find ratio of their pressure amplitudes

1

2

4

0.5

Blazing goIITian

Joined: 20 Dec 2008
Posts: 599
6 Jan 2009 15:32:24 IST
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average power transmitted is proportional to A^2 f^2
P1/P2 = A1^2 f1^1 / (A2^2 f2^2)
1 = (A1^2/A2^2) (lambda2^2 / lambda1^2)
So (A1^2/A2^2) = 1/4 or A1/A2 = 0.5
Option d).

Blazing goIITian

Joined: 24 Dec 2007
Posts: 1111
6 Jan 2009 15:57:23 IST
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wht is the formula for average power transmitted??

Blazing goIITian

Joined: 20 Dec 2008
Posts: 599
6 Jan 2009 16:03:13 IST
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The average power transmitted is proportional to A^2 f^2. It is 2 pi^2 A^2 f^2 (rho) S v, where rho is density of medium, S is cross sectional area of the volume in which wave is present and v its velocity.

Blazing goIITian

Joined: 8 Oct 2008
Posts: 8064
7 Jan 2009 01:45:21 IST
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hello dear

the formula for energy per unit area per second is 1/2 (rho) c (omega)2 A2

pressure is directly proportional to    (rho) c (omega)2 A2

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