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

[BMWPower06]

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 but can anyone help me out?

Thanks

 

[BMWPower06]

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

 

[nrqed]

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

WHat's the formula for the fundamental frequency? (in terms of the length, the linear mass density, the tension, etc)

 

[Chronos]

Your answers look good to me, except for the last one.

 

[andrevdh]

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.