46. Since the rope is fxed at both ends, then the phrase “second-harmonic standing wave pattern” describesthe oscillation shown in Figure 17-21(b), whereλ=Landf=vL(see Eq. 17-52 and Eq. 17-53).(a) Comparing the given ±unction with Eq. 17-47, we obtaink=π/2andω=12π(SI units understood).Sincek=2π/λthen2πλ=π2=⇒λ=4m =⇒L=4m.(b) Since
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