Wave motion: the energy travels, the material stays behind
Definition
Wave
A travelling disturbance that carries energy from one place to another without carrying matter with it.
- Every wave starts with a source that does work on something: your hand flicks a rope, a loudspeaker cone pushes the air, a dipper taps the water surface.
- That first disturbance drags its neighbouring bit of material with it, which drags the next bit, and so the disturbance is handed on from one part of the material to the next.
- Each part of the material moves away from its rest position and then comes back to it, so once the wave has gone past, that part is exactly where it began.
- What moves steadily forward is the pattern of disturbance, and with it the energy the source supplied.
- You can tell the energy has arrived because it does work at the far end: a water wave rolls pebbles up a beach, and a sound wave sets your eardrum vibrating.
- The bigger the disturbance the source makes, the more energy the wave carries, which is why a storm wave does far more damage than a ripple travelling at the same speed.
Key Idea
The material vibrates about a fixed position; only the disturbance and the energy travel along the wave.
Ropes and springs make wave motion slow enough to watch
- Lay a long rope across the floor, hold one end and flick it sharply up and back down again.
- A single hump, called a pulse, races away from your hand towards the far end.
- Tie a bright ribbon to the middle of the rope and the test becomes obvious: the ribbon flicks up and down as the pulse goes by, then hangs still in the same place it started.
- Keep moving your hand up and down instead of flicking once, and you get a continuous wave instead of a single pulse, but the ribbon still just vibrates on the spot.
- A stretched spring shows the same behaviour, and it is easier to see because you can watch individual coils.
- Shake one end from side to side and a sideways wiggle runs along the coils to the far end.
- Push and pull one end along the spring's own length instead, and a moving pattern of squashed and stretched coils travels along instead.
- Mark one coil with a dab of paint and, in both cases, it ends up back where it started once the wave has passed.
- This is why wave motion is described in terms of vibrations: a vibration is a repeated to-and-fro movement about a rest position, and that is all any one piece of the material ever does.
Example
- A crowd doing a Mexican wave around a stadium is the same physics.
- Each person stands up and sits back down in their own seat, so nobody moves round the ground.
- The visible band of standing people sweeps all the way round, because each person is triggered by their neighbour.
- The spectators are the material, the standing up is the vibration, and the travelling band is the wave.
Water waves carry energy across the surface, not the water itself
- In a ripple tank, a motor vibrates a bar or a small dipper that just touches the water, and ripples spread steadily outwards from it.
- Drop a small piece of cork or a leaf onto the surface and it bobs up and down on the spot as each ripple passes underneath it.
- The cork does not get swept to the far side of the tank, which is the direct evidence that the water is not being transported along with the wave.
- Each patch of water is lifted and lowered by its neighbour, passing the disturbance on and then settling back to the same place.
- On a much larger scale, wind blowing on the Atlantic can send waves thousands of kilometres to break on a Cornish beach, but the water that breaks there is not water blown over from America.
- What crosses the ocean is energy, and the beach feels it as the waves break and shift the sand and shingle.
Common Mistake
- Do not write that a wave transfers matter, or that the water travels along with the wave.
- Do not say the material does not move at all either: it vibrates, it just does not travel.
- Do not confuse the wave with the material: the rope, the spring and the water are the things being disturbed, and the wave is the travelling disturbance in them.
- Do not claim the cork stays perfectly still: saying it bobs up and down without drifting along is what earns the mark.
Exam technique
- The word without is where the second mark lives, so write the whole statement: waves transfer energy without transferring matter.
- For two marks, make two separate points: one that energy is transferred, and one that the material only vibrates about its position.
- If the question names a rope, a spring or a floating object, describe that object rather than giving a general answer, because the mark scheme is written around the context you were given.
- This is a describe-and-explain topic with no calculation, so spend the time on precise wording instead of hunting for an equation.
Self review
- What does a wave transfer, and what does it not transfer?
- A ribbon is tied to the middle of a rope carrying a wave. Describe how the ribbon moves.
- Describe two different ways a stretched spring can be made to show wave motion.
- How does a cork floating in a ripple tank show that water waves do not transfer matter?
- What is meant by a vibration?