# Homework Help: Estimate the relationship between the maximum and minimum intensity

1. Feb 13, 2012

### Firben

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 whats 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

Last edited: Feb 13, 2012
2. Feb 13, 2012

### Firben

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