Question

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.

Answer 1

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

Step-by-step 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

Answer 2

C. overtone number = pattern number – 1

Step-by-step explanation:

How does the overtone number relate to the standing wave pattern number, previously denoted with the variable n?

A. overtone number = pattern number

B. overtone number = pattern number + 1

C. overtone number = pattern number – 1

D. There is no strict relationship between overtone number and pattern number.

A wave is a disturbance which travels through a medium and transfer energy without a permanent displacement of the medium itself.

The image attached has do do with a stationary wave in a guitar string

A stationary wave also called a standing wave. This is the superposition of two equal but opposite ewave front having the same amplitude and frequency

the overtone ois related with the pattern number by

C. overtone number = pattern number – 1