Math question with physics equation.

1. The problem statement, all variables and given/known data
Hello guys I am having problems with wave and frequency problems. I know the equation use to find frequency are ∫=λ/v and
∫=1/2L([itex]\sqrt{FT/μ}[/itex])

So my question is: if the length and μ are kept the same will FT be directly proportional? Will frequency increase as the tension increase?

*v=[itex]\sqrt{FT}[/itex]
I have the same question about velocity when the μ is kept constant.

2. Relevant equations
v=[itex]\sqrt{FT}[/itex]
∫=1/2L([itex]\sqrt{FT/μ}[/itex])

3. The attempt at a solution
I said when the velocity increases as the tension increases. I know that numbers in the numerator are directly proportional to what you are trying to find but the square root is throwing me off.

 

Thank you for the reply. I am having problems with the equations and general common sense question. Lets say an object on a string experiences Simple Harmonic Motion. The strings have the same linear densities and lengths. String one has FT while string two has 2FT. What can be said about their frequencies?

From the equation ∫=1/2L ([itex]\sqrt{FT/μ}[/itex])

By removing the constants I am left with f=[itex]\sqrt{FT}[/itex]
Q: By increasing the string by 2FT will the frequency increase by 2?