State the conditions that must be met for a stationary wave to form.
A horizontal string is fixed at two points, X and Y, and vibrates to form a stationary wave, as shown. State how many antinodes are present in the stationary wave.
Find the least time for particle P to move from its lowest point to its highest point. The string vibrates at a frequency of $40\,\text{Hz}$.
State the phase difference, including its unit, between the oscillations of particle P and particle Q.
A horizontal string is stretched between two fixed points $X$ and $Y$. It is set into vertical vibration so that a stationary wave is produced. At one moment, every particle on the string is at its greatest displacement, as illustrated in Fig. 4.1. $P$ and $Q$ are two particles on the string. The string vibrates with a frequency of $40\,\text{Hz}$. Distance $XY$ is $2.0\,\text{m}$.
Calculate the speed of a progressive wave on the string.