Sinusoidal Wave: Double Frequency, Double Speed

[Andy_ToK]

Homework Statement

A sinusodial wave is moving along a string of uniform density. If you double the frequency of the wave,

a)the speed of the wave doubles
b)the speed of the wave remains about the same

Homework Equations

v=lambda*f

The Attempt at a Solution

I chose a) using the equation v=lambda*f. as f doubles, v doubles too.

 

[Doc Al]

That would only be true if the wavelength remained the same.

What determines the speed of a wave on a string?

 

[Andy_ToK]

tension and density.

The answer is b)