Question

Suppose you have established a standing wave on your string.

If you pull down on the string to increase the tension F until another standing wave is created, will the wavelength of the new standing wave be greater or less than the first?

Answer 1

greater

Step-by-step explanation:

We know that wavelength
`\lambda= (1)/(f)\sqrt{(T)/(\mu) }`

f= frequency, T= tension in the string, μ= mass density

clearly λ∝T

meaning when tension is increased wavelength is also increased. Here tension is increased hence wavelength of new standing wave be greater than the first one.