Estimate the relationship between the maximum and minimum intensity

AI Thread Summary
The discussion centers on calculating the relationship between maximum and minimum sound intensity at a point P, located 4 meters from speaker B and 4.123 meters from speaker A. The intensity is derived from the inverse square law, with the intensity at a distance r given by I0/r^2. The calculated path difference of 0.123 meters leads to a maximum intensity ratio of approximately 1.941 and a minimum intensity of 0.059. However, the final ratio of maximum to minimum intensity is incorrectly stated as 4400, with participants questioning the calculations leading to this discrepancy. The correct ratio is suggested to be around 32.89, indicating a need for reevaluation of the intensity calculations.
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Two speakers A and B are separated by 1 meter, the point P is 4 m away from speaker B. If P is a person for what frequency does he hear that the intensity have a minimum?. (The listener hear that the sound intensity reduces and increases).I don't know the distance from P to B. (They form a right-angled triangle)

Estimate the relationship between the maximum and minimum intensity. Assume that there is a spherical wavepropogation and the effect from the surrounding kan be neglected. The speed of sound can be set to 340 m/s. The intensity decreases with 1/r^2 ie the intensity on the wave r m from the source is I0/r^2 where I0(zero) are the intensity on 1m from the distance from the source.

How can i found the intensity and what's about the max and min intensity, what value should i use for that ?

The distance from poit P to A is 4.123 m

I calculated the path difference to be 0.123 m

The answer should be I(max)/I(min) = ca 4400
 
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If I(A) = I(0)/(4.123)^2, I(B) = I(0)/(4.00)^2

I(A)/I(B) = (4.00)^2/(4.123)^2 = 0.941

max= 1+0.941 = 1.941
min=1-0.941=0.059

ratio: 1.941/0.059=32.89

The answer should be 4400

What are i doing that's is wrong ?
 
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