Assume a 40.0-cm-long violin string has a mass of 1.20 g andis vibrating in its

Question

Assume a 40.0-cm-long violin string has a mass of 1.20 g andis vibrating in its fundamental mode at a frequency of 500Hz. a) What is the wavelength of the standing wave on thestring? b) What is the tension in the string? c) Where should you place your finger to increase thefundamental frequency to 650 Hz? Assume a 40.0-cm-long violin string has a mass of 1.20 g andis vibrating in its fundamental mode at a frequency of 500Hz. a) What is the wavelength of the standing wave on thestring? b) What is the tension in the string? c) Where should you place your finger to increase thefundamental frequency to 650 Hz?

Explanation / Answer

linear density=mass/length=0.003kg/m What is the wavelength of the standing wave on thestring =2l=2*0.40=0.80m What is the tension in the string 500=1/0.8T/m calculating T=480N Where should you place your finger to increase the fundamentalfrequency to 650 Hz? 650=1/2l480/0.003 calculating l=30.76cm

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