AP Physics Multiple Choice Concept Question

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SUMMARY

The discussion centers on the effects of tension adjustment on a guitar string's standing wave properties. Increasing the tension in the string results in an increase in the speed of the traveling wave, as described by the formula v = (F/(m/L))^(1/2). The frequency of the standing wave remains constant while the wavelength changes. Therefore, the correct answer to the question posed is A) 1 only, as only the speed of the wave changes with tension adjustment.

PREREQUISITES
  • Understanding of wave mechanics, specifically standing waves
  • Familiarity with the relationship between tension, mass per unit length, and wave speed
  • Knowledge of the wave equation v = (F/(m/L))^(1/2)
  • Basic concepts of frequency and wavelength in wave physics
NEXT STEPS
  • Study the relationship between tension and wave speed in strings
  • Explore the concept of standing waves in more detail
  • Learn about the effects of frequency and wavelength on wave behavior
  • Investigate real-world applications of wave mechanics in musical instruments
USEFUL FOR

Physics students, music educators, and anyone interested in the principles of wave mechanics and their applications in stringed instruments.

ShamTheCandle
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A standing wave pattern is created on a guitar string as a person tunes the guitar by changing the tension in the string. Which of the following properties of the waves on the string will change as a result of adjusting only the tension in the string?

1) Speed of the traveling wave that creates the pattern
2) Frequency of the standing wave
3) Wavelength of the standing wave

A) 1 only
B) 2 only
C) 1 and 2 only
D) 2 and 3 only
E) 1, 2 and 3
 
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Well what do you think?
 
diazona said:
Well what do you think?

I think that 1) is true, because as you increase Tension, velocity should increase since the formula v=(F/(m/L))^(1/2) for the standing waves. However, I don't know whether frequency increases or wavelength as a result, or both... I don't understand this concept very well.
 

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