519_Physics ProblemsTechnical Physics

519_Physics ProblemsTechnical Physics - Chapter 17 P17.71(a...

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Chapter 17 521 P17.71 (a) The time required for a sound pulse to travel distance L at speed v is given by t L v L Y == ρ . Using this expression we find L 1 L 2 L 3 FIG. P17.71 t L Y L L t L Y L 1 1 11 1 10 4 1 2 1 22 1 10 3 700 10 2700 196 10 150 160 10 113 10 × = = ×× . . .. Nm kgm s m m 23 ej e j or tL 2 34 1 1 26 10 8 40 10 =×− × −− s t t 3 3 4 8800 424 10 = × . . m 11.0 10 N m kg m s 10 3 3 e j We require ttt 123 += , or 1 96 10 1 26 10 8 40 10 4 24 10 4 1 1 4 . . ×+ × ×= × − − LL . This gives L 1 130 = . m and L 2 150 130 0201 =−= ... m . The ratio of lengths is then L L 1 2 645 = (b) The ratio of lengths L L 1 2 is adjusted in part (a) so that . Sound travels the two paths in equal time and the phase difference, φ = 0. P17.72 To find the separation of adjacent molecules, use a model where each molecule occupies a sphere of
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