Solving for Constant in T=k/L Inverse Proportionality

[Matrixman13]

I know that the tension of a string is Inversely proportional to the length. obviously this is shown as T=k/L, where t is the tension; k is the constant; and L is the length. My question is; What is the constant? I would also appreciate anything else loosely related to the topic. Thank you.

 

[Javier]

Upon quantization of the string, the characteristic string length L is related to the string "tension" T (the characteristic energy scale) by L=1/(sqrt{pi*T}).

 

[Mike2]

What is responsible for the tension along a string? Is the tension you equated above the average tension along the string? Could tension change along the string?

 

[Imparcticle]

Upon quantization of the string, the characteristic string length L is related to the string "tension" T (the characteristic energy scale) by L=1/(sqrt{pi*T}).

Isn't the length a constant? How do you find T?