Please help me out with the length on this sound intensities problem

AI Thread Summary
The problem involves two identical car horns producing sound intensities in a 6:1 ratio, with one horn located 8m away. The intensity equation indicates that sound intensity is inversely proportional to the square of the distance from the source. Using the ratio of intensities, the relationship 6/1 = R²/8² is established to find the distance of the more distant car. The calculations lead to the conclusion that the distance of the farther car is approximately 19.6m. The discussion highlights the need to apply the inverse square law to solve for the distance based on intensity ratios.
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Homework Statement



When sounded separately, two identical car horns produce sound intensities at your ear in the ratio 6:1. If the nearer car is 8m from you, how far from you is the more distant car? Assume uniform spherical wavefronts.


Homework Equations


Intensity=P/4x(3.14)"pi"x R^2
ratio fartest car=(ratio nearest car+ratio that i am)^1/2<<"squareroot"


The Attempt at a Solution


All I did was the surface area for the sphere, which was
4x3.14x8^2= 1607.7
Then i do not know what else to do because i need to find the length, I know the answer should be 19.6
 
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Welcome to PF.

I ∝ 1/r²

So the ratio of I1/I2 = R2² /R1²

That suggests then that

6/1 = R²/8² then isn't it?
 

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