Wave Motion - Mission WM7 Detailed Help

Consider the standing wave pattern shown below. There are several labeled points on the diagram. Point A is separated from point F by a horizontal distance equivalent to ____ wavelengths. Enter a number into the answer field.


 
Analysis of a Standing Wave Pattern:
A standing wave pattern shows a unique relationship between the wavelength of the waves that create the pattern and a length measured along the medium between two points on the pattern. Every nodal position on the pattern is separated from the next adjacent nodal position by one-half of a wavelength. Similarly, every antinodal position on the pattern is separated from the next adjacent antinodal position by one-half of a wavelength.


 
Starting at one of the two letters, count the number of half-wavelengths to the next indicated letter. See Know the Law section. Use the number of half-wavelengths to determine the number of complete wavelengths between indicated letters.


 
The diagram shows the pattern made by the medium at two instants in time during a complete wave cycle. This is a very common way of representing a wave pattern. The pattern is drawn when the antinodal positions are at their maximum displacement from the resting position. And the mirror image is drawn to represent the pattern formed one-half period later when the antinodal positions have reached a maximum displacement in the opposite direction.


 

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