528 Superposition and Standing Waves(a)dfv+=1240020033012292..msafbgHe hears two minima.(b)With n=1,LdvfvfL=−=−=22222122124 003304 200330200928afbg..m msssmwith n=2Lf=−=2232232199. m.P18.10Suppose the man’s ears are at the same level as the lower speaker. Sound from the upper speaker isdelayed by traveling the extra distance ∆rLdL=+−.He hears a minimum when ∆rn=−FHGIKJ212λwith n=123,,,…Then,Ld Lnvf12+−FHGIKJFHGIKJLd nvfLvfnvfLL2221212212+=−FHGIKJFHGIKJ+FHGIKJFHGIKJFHGIKJFHGIKJ+dnvfnvfL22212212−−FHGIKJFHGIKJFHGIKJFHGIKJ(1)Equation 1 gives the distances from the lower speaker at which the man will hear a minimum. Thepath difference ∆rstarts from nearly zero when the man is very far away and increases to
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