Question

A steel wire with mass 25.0 g and length 1.35 m is strung on a bass so that the distance from the nut to the bridge is 1.10 m. What is the wavelength of the sound produced in air? (Assume the speed of sound in air is 343 m/s.)

Solution

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The frequency is the property of the source of the wave and it doesn't change as we go from medium to medium so using the speed of the sound in air and the given frequency we get:

λ=vf=343ms41.2Hz=8.33m\begin{align*} \lambda&=\frac{v}{f}\\ &=\frac{343\frac{\,\text{m}}{\,\text{s}}}{41.2\,\text{Hz}}\\ &=\boxed{8.33\,\text{m}} \end{align*}

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