# A standing wave vibrates at its fourth harmonic. How many nodes will be in the wave pattern?

Aug 2, 2016

$5$

#### Explanation:

The equation for finding the wavelength of a standing wave is

$\lambda$ = $\frac{2 L}{n}$

where n represents the harmonic of the wave

Since $n$ = $4$ the wavelength is $\lambda$ = $\frac{L}{2}$

Isolate to solve for $L$ and you get $2$ $\lambda$ = $L$

This means you have a string whose length produces 2 waves

The nodes for this wave will be 5 since nodes are where no displacement occurs.