For a standing wave on a string what is the relationship between the frequency a

Question

For a standing wave on a string what is the relationship between the frequency and the number of segments in the pattern? How is the frequency of the two-segment wave related to the frequency of the one-segment wave? How is the frequency of three-segment wave related to the frequency of the one-segment wave? How would the frequency of four-segment wave compare to the frequency of the one-segment wave? Write a general statement that describes how the frequency of vibration of a standing wave relates to the number of segment of the standing wave. How do the wave speeds of the three standing waves compare? Are they almost the same? What happens to the wave speed on a stretched string with constant length and tension when the frequency and wavelength change?

Explanation / Answer

Solution:

1. Segment two has the frequency 2 times the frequency of the one segment.

2. Segment three has the frequency 3 times the frequency of the one segment.

3. Segment four has the frequency 4 times the frequency of the one segment.

4. the frequency of vibration of the standing wave varies directly with the segment.

5. Yes

6. It will remain the same. v=frequency x wavelength.

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