In a standing wave formed on a stretched string, the distance between two adjacent nodes is 0.25 m. If the frequency of the wave is 10 Hz, determine the speed of the waves on the string.

Step-by-step solution

1. For a standing wave the distance between consecutive nodes is $\frac{\lambda }{2}$.
2. Set $\frac{\lambda }{2}=0.25\mathrm{m}$ and solve for $\lambda$ to get $\lambda =0.5\mathrm{m}$.
3. Use the wave speed formula $v=flambda$ with $f=10\mathrm{Hz}$. Compute $v=10\times 0.5=5m/s$.

Concept tested: Speed of standing wave

Published 13 October 2026 · How this solution was prepared and checked