Question

I have a question concerning waves. What effect does increasing the tension in a vibrating string have upon wavelength? I was thinking that as the weight increases more standing waves are created. As more standing waves are created, the wavelength decreases.

I have one more quick question, we were asked to graph F (force) vs 1/n^2. The n is referring to the number of loops in 1/n^2. Could you tell me what 1/n^2 might stand for when graphing it verses Force.
Thank you

Increasing tension makes for increased wave velocity. The wave equation

freq*wavelength = velocity of propagation
so if velocity increases, wavelength increases, but on a fixed length string, that means fewer wavelengths