Changing String Frequency: Thinner/Thicker/Longer/Shorter/Tighter/Looser?

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To increase the fundamental frequency of a string tied at both ends, parameters such as string thickness, length, tension, and mass density can be adjusted. A thinner string will increase frequency, while a thicker string will decrease it. Increasing the length of the string lowers the frequency, and tightening the string raises it. The correct formula for fundamental frequency involves length, linear mass density, and tension. The discussion highlights common misconceptions about these relationships and emphasizes the importance of understanding the underlying physics.
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Homework Statement


Consider a string of length L tied down at both ends to fixed points on opposite walls. We are going to pluck the string and make standing waves of a certain fundamental frequency. In order to increase the frequency of the fundamental, which of the following parameters can be varied to accomplish this?
True False use a thinner string
True False increase the length of the string
True False loosen the string
True False use a thicker string
True False tighten the string
True False decrease the length of the string



The Attempt at a Solution


My answers are in bold, not sure what I am doing wrong, the computer program doesn't tell me:rolleyes: but can anyone help me out?

Thanks
 
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i got those answers from reading through the chapter, any1 know what I am doing wrong?
 
BMWPower06 said:
i got those answers from reading through the chapter, any1 know what I am doing wrong?

WHat's the formula for teh fundamental frequency? (in terms of the length, the linear mass density, the tension, etc)
 
Your answers look good to me, except for the last one.
 
Second one is also wrong - increasing the length will decrease the fundamental frequency. That is it will vibrate at a lower frequency, if everything else is kept the same.
 
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