How Many Sound Intensity Minima Are Detected as Frequency Increases?

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The discussion focuses on a physics problem involving two sound sources, S1 and S2, that produce sound waves detected by a microphone as the frequency increases from 1.0 kHz to 4.0 kHz. The speed of sound in air is given as 330 m/s, and participants are tasked with determining the number of sound intensity minima detected by the microphone. The relationship between frequency, wavelength, and sound intensity is emphasized, with calculations needed to find the wavelengths corresponding to the given frequencies. Additionally, the role of amplitude in affecting sound intensity is clarified, noting that while amplitude influences intensity, it does not directly affect frequency or period. The discussion highlights the importance of understanding wave properties in solving the problem.
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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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