503_Physics ProblemsTechnical Physics

503_Physics ProblemsTechnical Physics - Chapter 17 (b) If...

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Chapter 17 505 (b) If the frequency is reduced to ′ = f f 2 while the displacement amplitude is doubled, the new intensity is Iv f sv f s I 2 2 2 2 22 2 1 2 2 = F H G I K J == πρ max max bg or the intensity is unchanged . *P17.23 (a) For the low note the wavelength is λ = v f 343 146 8 234 ms s m . .. For the high note 343 880 0390 s m We observe that the ratio of the frequencies of these two notes is 880 599 Hz 146.8 Hz = . nearly equal to a small integer. This fact is associated with the consonance of the notes D and A. (b) β = F H G I K J = 10 10 75 12 dB ±Wm dB 2 log I gives I 316 10 5 . W m 2 I P v P = = max max . 2 5 2 2120 343 0161 ρ Wm kgm Pa 23 ej for both low and high notes. (c) s v f s 1 2 1 2 4 2 222 ρω ρ π max max s I vf max = 2 for the low note, s max . . . . . . = × = × 2 1 20 343 1 146 8 624 10 146 8 425 10 5 2 5 7 kg m m s s m m 2 3 π for the high note, s max . . = ×
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