526_Physics ProblemsTechnical Physics

526_Physics ProblemsTechnical Physics - 528 Superposition...

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528 Superposition and Standing Waves (a) df v += 1 2 400 200 330 1 2 292 . . ms af bg He hears two minima. (b) With n = 1, L dv f vf L = = = 2 2 22 2 12 212 4 00 330 4 200 330 200 928 a f b g . . m m s s s m with n = 2 L f = = 2 2 32 232 199 . m . P18.10 Suppose the man’s ears are at the same level as the lower speaker. Sound from the upper speaker is delayed by traveling the extra distance rL dL =+ . He hears a minimum when rn =− F H G I K J 21 2 λ with n = 123 ,,, Then, Ld Ln v f 1 2 +− F H G I K J F H G I K J Ld n v f L v f n v f LL 2 2 2 1 2 1 2 2 1 2 +=− F H G I K J F H G I K J + F H G I K J F H G I K J F H G I K J F H G I K J + dn v f n v f L 2 2 2 1 2 2 1 2 −− F H G I K J F H G I K J F H G I K J F H G I K J (1) Equation 1 gives the distances from the lower speaker at which the man will hear a minimum. The path difference r starts from nearly zero when the man is very far away and increases to
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