How does the overtone number relate to the standing wave pattern number, previously denoted with the variable n?
a. overtone number = pattern numberb. overtone number = pattern number + 1c. overtone number = pattern number – 1d. there is no strict relationship between overtone number and pattern number.

From the above, we see that for the first two types of wave, the response would be B

Explanation:

Stationary waves occur when a traveling wave collides with an obstacle and is returned, the sum of the two waves gives a wave that does not travel over time.

There are several possibilities of standing wave; when the ends are fixed, when the ends are open, it is these two cases the relationship is

                  λ = 2L / n

Where λ is the wavelength, L is the length of the system and n an integer from n = 1, 2,3, ...

There is a third case in which one end is open and the other closed, in the latter case the relationship is

             λ = 4L / n

Where n = 1,3, 5, ...

The wave with the smallest integer (n = 1) is the so-called fundamental wave or pattern, all other waves are called overtones.

In the first two cases the overtones are obtained from the fundamental wave plus 1

In the latter case the over tones are obtained from the fundamental wave and all the following odd numbers (2n-1)

From the above, we see that for the first two types of wave, the response would be B

For the last type of resonance there is no correct answer, since the shape of the sorbetones is 2n-1 and does not appear in your answers

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explanation:

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