A sonometer wire of total length 1.00 m is fixed at both ends and set into resonance at its fifth harmonic. A student measures the positions of consecutive displacement nodes along the wire and records the following distances (measured from the left end): 0.00 m, 0.10 m, 0.30 m, 0.50 m, 0.70 m, and 0.90 m.
(a) Using the data, calculate the average distance between successive nodes.
(b) Determine the experimental wavelength of the standing wave on the wire.
(c) Derive the theoretical wavelength for the fifth harmonic of a wire 1.00 m long, and compute the percent difference between the theoretical and experimental values.
(d) Provide two plausible physical reasons for any discrepancy between the experimental and theoretical wavelengths.