Question: Two sound sources emitting at the same wavelength (lambda) are placed a distance (d_{mathrm{s}}) apart and a perpendicular distance (d_{mathrm{m}}) away from a row of

Two sound sources emitting at the same wavelength \(\lambda\) are placed a distance \(d_{\mathrm{s}}\) apart and a perpendicular distance \(d_{\mathrm{m}}\) away from a row of microphones. Show that the distances \(\Delta x\) between those microphones that experience maximum variations in loudness are given by \(\Delta x=d_{\mathrm{m}} \lambda / d_{\mathrm{s}}\) in the limit \(d_{\mathrm{m}} \gg d_{\mathrm{s}} \).

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To find the distances Delta x between microphones that experience maximum variations in loudness we can consider the interference pattern created by t... View full answer

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