It depends on the type of wave.
If it is a transverse wave, then the medium moves in one direction while the wave moves in a perpendicular direction. Flicking a rope up and down causes a transverse wave. Eletromagnetic waves (e.g. light and radio) are transvere.
If it is a longitudinal wave then the wave moves in the same direction as the medium. Pushing a slinky causes a longitudinal wave. Sound waves are also longitudinal.
In a transverse wave, the particles of the medium move perpendicular to the direction of the wave, while in a longitudinal wave, the particles move parallel to the direction of the wave. This difference in particle movement affects how sound propagates in the medium.
The relationship between density and speed is inversely proportional in a given medium or material. As density increases, the speed of wave propagation decreases. This relationship is described by the equation v = c/√(με), where v is the speed of the wave, c is the speed in a vacuum, μ is the permeability of the medium, and ε is the permittivity of the medium.
When a wave moves through a medium, the particles of the medium oscillate back and forth in the direction of the wave's travel. The energy of the wave is transferred through the medium without causing a net movement of the medium itself.
The speed of a longitudinal wave is determined by the properties of the medium through which it travels. Different mediums have different densities and elasticities, which affect how fast the wave can travel through them. In general, the speed of a longitudinal wave increases with the stiffness and density of the medium.
reflection
There's no relationship between the frequency and the medium. The frequency of a wave is determined by the source. Once the wave leaves the source and sets out on its journey, the frequency doesn't change, regardless of what kind of stuff the wave encounters and has to travel through.
The dispersion relationship depends on the medium through which the waves propagate and on the type of waves (for instance electromagnetic, sound or water waves). For sound waves, the denser a medium is, the faster the waves will travel as particles will be closer together and thus energy can be transferred among them at a greater rate.
For a particular type of wave, in a specified medium, the multiple of the two is a constant.
In a transverse wave, the particles of the medium move perpendicular to the direction of the wave, while in a longitudinal wave, the particles move parallel to the direction of the wave. This difference in particle movement affects how sound propagates in the medium.
The relationship between density and speed is inversely proportional in a given medium or material. As density increases, the speed of wave propagation decreases. This relationship is described by the equation v = c/√(με), where v is the speed of the wave, c is the speed in a vacuum, μ is the permeability of the medium, and ε is the permittivity of the medium.
The medium carries/supports the movement of the wave
When a wave moves through a medium, the particles of the medium oscillate back and forth in the direction of the wave's travel. The energy of the wave is transferred through the medium without causing a net movement of the medium itself.
The speed of a longitudinal wave is determined by the properties of the medium through which it travels. Different mediums have different densities and elasticities, which affect how fast the wave can travel through them. In general, the speed of a longitudinal wave increases with the stiffness and density of the medium.
The "medium" is whatever a wave requires, to be able to travel - so, the wave travels through a medium. In the case of electromagnetic waves, this medium is space itself, since it has certain electrical and magnetic properties.
reflection
A mechanical wave, such as a sound wave or a water wave, requires a medium to travel because it relies on the vibration or movement of particles in the medium to propagate energy. Without a medium, these waves cannot transfer their energy.
The movement of a wave through a medium is typically measured in terms of its speed, frequency, and wavelength. Speed is the distance the wave travels per unit of time. Frequency is the number of wave cycles passing a fixed point per unit of time. Wavelength is the distance between two corresponding points on consecutive waves.