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

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Answer 1 · 2016-08-02T03:06:47

#5#

The equation for finding the wavelength of a standing wave is

#lambda# = #(2 L)/(n)#

where n represents the harmonic of the wave

Since #n# = #4# the wavelength is #lambda# = #(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.