Question

select the correct answer. how does increasing the tension of a spring affect a wave on the spring? a. wave velocity increases b. wave velocity decreases c. wave amplitude increases d. wave amplitude decreases

Explanation:

Step1: Recall the wave velocity formula

The velocity \(v\) of a wave on a string (or spring) is given by \(v = \sqrt{\frac{T}{\mu}}\), where \(T\) is the tension and \(\mu\) is the linear mass density.

Step2: Analyze the effect of increasing tension

When \(T\) (tension) increases, and \(\mu\) (linear mass density) remains constant (assuming the spring's properties like mass per unit length don't change), the value of \(\sqrt{\frac{T}{\mu}}\) increases. So, the wave velocity \(v\) increases.
Amplitude is related to the energy given to create the wave (e.g., how hard you pluck or shake the spring), not directly to the tension.

Answer:

A. wave velocity increases