A student is using a resonance tube and determines that three resonances occur a

Question

A student is using a resonance tube and determines that three resonances occur at distances of L1 = 0.519 m, L2-0.855 m, and L3 1.203 m below the open end of the tube. The frequency of the tuning fork used is 4.80 x 102 Hz. (Enter your answers to at least three significant figures.) HINT (a) Find the wavelength (in m) using distances L2 and L1 2-1 (b) Find the wavelength (in m) using distances L3 and L2. 3-2 (c) Find the average wavelength (in m) Aavg (d) Find the average speed of sound (in m/s) V avg m/s

Explanation / Answer

Ln = 1/4*(2n+1)* lambda

lambda = 2* (L2 - L1) = 2*(0.855 - 0.519) = 2*0.336 = 0.672

Lambda = 2*(L3 - L2) = 2*(1.203 - 0.855) = 2*0.348 = 0.696

Average wavelength = 0.684

v = f*lambda = 4.8*100*0.684 = 328.32 m/s

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