# Are the wavelength of standing wave and sound wave produced same?

1. Aug 4, 2014

### somecelxis

1. The problem statement, all variables and given/known data

a string is tightened at 2 ends. the string is then plucked , a standing wave is produced. are the wavelength of standing wave and sound wave produced same?

2. Relevant equations

3. The attempt at a solution

2. Aug 4, 2014

### ShayanJ

No.
We have, for any wave, $\lambda=\frac v \nu$. The frequency of the standing wave and the sound wave are the same, but their propagation velocities, on the string and in the air respectively, are different and so their wavelengths are different.

3. Aug 4, 2014

### somecelxis

how do you know that The frequency of the standing wave and the sound wave are the same, but their propagation velocities, on the string and in the air respectively, are different why?

4. Aug 4, 2014

### ehild

The speed of a wave along a string is determined by the tension in it (T) and the linear density (μ): v=√(T/μ). The speed of sound is about 300 m/s in air at room temperature.

ehild