How Does Increasing Rope Tension Affect Wave Wavelength?

[mike2007]

We increase the tension in a rope keeping the frequency of oscillation at the end of the rope the same. What effect does ths have on the wavelength of the wave produced?

My attempt
If the tension of the rope is increased and the frequency is kept constant then the speed of the wave will increase and the wavelength of the wave will decrease.

 

[mgb_phys]

Yes, speed of sound in a solid increases with stiffness, and so with tension.