How Many Sound Intensity Minima Are Detected as Frequency Increases?

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Homework Help Overview

The problem involves two sound sources, S1 and S2, that are 80 cm apart, producing sound waves in phase with different amplitudes. A microphone is positioned 100 cm from S1, and as the frequency of the sound is varied from 1.0 kHz to 4.0 kHz, the microphone detects changes in sound intensity, specifically maxima and minima. The task is to determine how many minima are detected by the microphone as the frequency increases.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to calculate the wavelengths corresponding to the given frequencies but expresses uncertainty about the next steps. Participants question the effects of amplitude on sound properties, particularly whether it influences frequency or period.

Discussion Status

The discussion is ongoing, with participants exploring the relationship between amplitude and sound properties. Some guidance has been offered regarding the effects of frequency on wavelength, but there is no explicit consensus on the next steps for solving the problem.

Contextual Notes

The original poster has a time constraint due to an impending exam, which may influence the urgency of the discussion. There is also a mention of varying amplitudes, which could imply additional factors to consider in the analysis.

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Homework Statement



Two sources S1 and S2 of sound are situated 80cm apart in air, as shown in the image provided. The frequency of vibration can be varied. The two sources always vibrate in phase but have different amplitudes of vibration. A microphone M is situated a distance 100cm from S1 along a line that is normal to S1S2. As the frequency of S1 and S2 is gradually increased, the microphone M detects maxima and minima of intensity of sound.
The speed of sound in air is 330ms-1. The frequency of the sound from S1 and S2 is increased. Determine the number of minima that will be detected at M as the frequency is increased from 1.0kHz to 4.0kHz.

Homework Equations


Frequency=Velocity/Wavelength
(n-½)(λ/a) = x/D where λ is wavelength, x is separation between adjacent maxima and minima and D is the perpendicular distance from the zero order maximum.

The Attempt at a Solution


Using the two ranges of frequency 1.0kHz and 4.0kHz, the wavelengths must be between 8.25cm and 33cm but not sure what to do next. Any help would be greatly appreciated. Thank you.
 
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Is anybody able to help me? My physics exam is tomorrow...
 
what do you think the amplitude of waves will affect? will it affect frequency or period?
 
The amplitude will affect the intensities, and the frequency will affect the wavelength of the sound waves
 

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