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12_InstSolManual_PDF_Part10

# 12_InstSolManual_PDF_Part10 - (e so f 5 v l 5 1550 m s 0.25...

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(b) For constructive interference 2, 3 for the lowest frequencies. and 1528 Hz, and 2292 Hz. All three of these frequencies are audible. 12.35. Set Up: One speaker is 4.50 m from the microphone and the other is 4.03 m from the microphone, so the path difference is 0.42 m. For constructive interference, the path difference is an integer number of wavelengths. For destructive interference, the path difference is a half-integer number of wavelengths. Solve: (a) gives gives and gives and and so on. The frequencies for constructive interference are 2, (b) gives and gives and gives and and so on. The frequencies for destructive interference are 1, Reflect: The frequencies for constructive interference lie midway between the frequencies for destructive interfer- ence. 12.36. Set Up: The auditory canal acts as a stopped pipe and has frequencies 3, Solve: (a) (b) and 12.37. Set Up: Solve: (a) (b) (c) (d) For For The range of wavelengths is 4.4 mm to 8.8 mm.
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Unformatted text preview: (e) so f 5 v l 5 1550 m / s 0.25 3 10 2 3 m 5 6.2 MHz l 5 0.25 mm l 5 v f 5 344 m / s 39 3 10 3 Hz 5 8.8 mm. f 5 39 kHz, l 5 v f 5 344 m / s 78 3 10 3 Hz 5 4.4 mm. f 5 78 kHz, l 5 v f 5 344 m / s 25 3 10 3 Hz 5 1.4 cm f 5 v l 5 1531 m / s 0.015 m 5 102 kHz l 5 v f 5 1531 m / s 17 Hz 5 90 m v 5 f l l 3 5 4 L / 3 l 1 5 4 L l 3 5 v f 3 5 3.2 cm. l 1 5 v f 1 5 9.6 cm; f 3 5 3 f 1 5 11 kHz f 1 5 v 4 L 5 344 m / s 4 1 0.024 m 2 5 3.6 kHz; 5, c . n 5 1, f n 5 n 1 v 4 L 2 , 2, c . n 5 0, 1 2 n 1 1 21 410 Hz 2 , f 5 v l 5 2050 Hz, l 5 0.168 m 5 l / 2 5 0.42 m f 5 v l 5 1230 Hz; l 5 0.28 m 3 l / 2 5 0.42 m f 5 v l 5 410 Hz; l 5 0.84 m l / 2 5 0.42 m 3, c . n 5 1, n 1 820 Hz 2 , f 5 v l 5 2460 Hz, l 5 0.14 m 3 l 5 0.42 m f 5 v l 5 1640 Hz; l 5 0.21 m 2 l 5 0.42 m f 5 v l 5 820 Hz; l 5 0.42 m f 5 v / l f 5 764 Hz, f 5 n v 0.450 m 5 n 1 764 Hz 2 n 5 1, 45.0 cm 5 n l , 12-10 Chapter 12...
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