Intensity of the superposition of sound waves

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Homework Help Overview

The discussion revolves around the intensity of sound waves and their superposition, specifically focusing on a scenario involving destructive interference between two sound waves with given intensities.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the method of calculating the resultant intensity of sound waves, with one suggesting the use of square roots and squaring, while others question the appropriateness of addition in the context of destructive interference.

Discussion Status

There is an ongoing exploration of the correct approach to determine the intensity of the superposition, with some participants providing guidance on the need to subtract intensities due to the nature of destructive interference. Multiple interpretations of the problem are being discussed.

Contextual Notes

Participants are navigating the implications of destructive interference and the mathematical operations that should be applied to the intensities provided in the problem statement.

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Homework Statement


A sound wave with intensity 4 mW/m2 interferes destructively with a sound wave that has an intensity of 10 mW/m2. What is the intensity of the superposition of the two?


Homework Equations



sqrt of both values

The Attempt at a Solution


i believe that taking the sqrt of both values then adding them then squaring them is the correct solution but i keep getting the incorrect answer.

i keep getting 26.65
 
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Why are you adding? The question says that the interference is destructive.
 
ok so what exactly do i do then?
 
Subtract, don't add, since the interference is destructive.
 

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