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

Question

6869 views around the world

You can reuse this answer
Creative Commons License

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.