# Relationship between Frequency and Standing Waveforms.

• Kamuin

#### Kamuin

Hi all, just a quick problem that I really cannot get my head around, any help would be appreciated.

## Homework Statement

State, in detail, how the frequency affects the number of antinodes produced on string with a fixed tension, density and length.

## Homework Equations

The frequency of a specific standing wave formation is: fn=(N/2L)(√T/µ), where f is frequency, N is number of antinodes, L is medium length, T is tension in the medium, and µ is the medium density. However I don't think many answers can be found within this equation, as more of this question is about theory rather than results.

## The Attempt at a Solution

This question does not want answers in terms of any other variables, it wants to know in what way the frequency affects the various waveforms. I was thinking that a higher frequency produces more antinodes, possible because there are more points of interference produced, and more interference points means more antinodes, however I am not sure this is a complex enough explanation.

Thankyou all in advance, I hope you can help.

For increasing frequency, the number of nodes will increase as well. Draw several diagrams, double the frequency each time. Then you can deduce how frequency affects the nodes and antinodes.