A wave has frequency \(8.0\,\mathrm{Hz}\). Find its period.

A wave snapshot shows adjacent crests separated by \(0.75\,\mathrm{m}\). What is the wavelength?

A wave has wavelength \(1.2\,\mathrm{m}\) and period \(0.50\,\mathrm{s}\). Find its speed.

A buoy rises and falls \(18\) times in \(12\,\mathrm{s}\). Find the wave frequency and period at that point.

The wave speed in a medium is \(24\,\mathrm{m\,s^{-1}}\). If the frequency is doubled while the medium stays the same, how does the wavelength change?

A photograph of a rope shows \(3.5\) wavelengths in a \(2.8\,\mathrm{m}\) section. A fixed point on the rope completes \(14\) cycles in \(4.0\,\mathrm{s}\). Find the wave speed.

A detector at one point records a period of \(0.25\,\mathrm{s}\). A simultaneous snapshot of the medium shows the distance from a crest to the next trough is \(0.40\,\mathrm{m}\). Find the wave speed.

A photograph shows \(N\) complete wavelengths packed into a length \(L\). A probe at one fixed point records \(M\) complete oscillations in a time interval \(\Delta t\). Derive the wave speed in terms of \(L\), \(N\), \(M\), and \(\Delta t\).