Part A A standing wave on a string vibrates with two antinodes as shown on above. Suppose the tension is doubled while the frequency and the length of the string are held constant. Which standing wave pattern is produced? O A standing wave with two antinodes O No standing wave will be created for these conditions O A standing wave with one antinode O A standing wave with four antinodes
Part A A standing wave on a string vibrates with two antinodes as shown on above. Suppose the tension is doubled while the frequency and the length of the string are held constant. Which standing wave pattern is produced? O A standing wave with two antinodes O No standing wave will be created for these conditions O A standing wave with one antinode O A standing wave with four antinodes
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Transcribed Image Text:### Understanding Standing Waves on a String
**Part A**
#### Question:
A standing wave on a string vibrates with two antinodes as shown in the diagram above. Suppose the tension is doubled while the frequency and the length of the string are held constant. Which standing wave pattern is produced?
##### Diagram Description:
The diagram shows a standing wave on a string with two distinct antinodes. The string appears to be fixed at both ends, with the waveform indicating two loops.
#### Multiple Choice Answers:
- A standing wave with two antinodes
- No standing wave will be created for these conditions
- A standing wave with one antinode
- A standing wave with four antinodes
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##### Explanation of the Diagram:
The image provided is a graphical representation of a standing wave on a string fixed at both ends. The wave shown indicates two antinodes, which are points of maximum amplitude. In this configuration, the string oscillates in a pattern where sections of the string between the fixed points undergo constructive and destructive interference, resulting in stationary nodes and antinodes.
**Note to Students:**
In a standing wave, nodes are points where there is no movement (zero amplitude), whereas antinodes are points of maximum movement (maximum amplitude). The standing wave pattern depends on the frequency of the wave, the length of the string, and the tension in the string. Doubling the tension of the string typically affects the wave speed and can alter the number of antinodes in the standing wave pattern.
Use these principles to determine the correct standing wave pattern produced under the given conditions.
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