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Welcome to GCSE Edexcel Science revision.

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Unit C P 4: Waves.

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Waves transfer energy and information from one place to another without transferring matter overall (no net transfer of matter).

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In mechanical waves, particles vibrate back and forth (oscillate) around their rest positions.

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A floating cork bobs as water ripples pass; it does not travel across the tank with every crest.

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Sound can travel through air while the air particles vibrate locally.

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In a transverse wave, vibrations are at right angles (perpendicular) to the direction of energy transfer.

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Examples include electromagnetic waves, waves on a string and seismic S waves.

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The two directions are perpendicular.

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In a longitudinal wave, vibrations are back and forth along the direction of energy transfer (parallel to it).

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Sound in air and seismic P waves are longitudinal.

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Longitudinal waves contain compressions, where particles are closer together, and rarefactions, where they are more spread out.

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Particles vibrate parallel to the propagation direction.

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At GCSE, surface water ripples are represented as transverse waves.

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Real surface-water particle motion is more complex than a simple up-and-down line.

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Sound needs a material to travel through, such as air, water or a solid.

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This material is called a medium, so sound cannot cross a vacuum.

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Electromagnetic waves can travel through a vacuum.

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Wavelength Lambda is the distance between two corresponding points on neighbouring waves: points at the same stage,

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such as one crest to the next crest or one compression to the next.

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It is measured in metres.

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Amplitude is the greatest distance a point on a wave moves from its rest position (its maximum displacement).

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Measure from the rest position to a crest or trough, not from crest to trough.

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Amplitude is measured from the rest position; wavelength joins matching points.

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Frequency F is the number of complete waves (cycles) passing a point each second.

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It is measured in hertz.

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A frequency of 5 hertz means five complete waves, or cycles, per second.

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Period T is the time for one complete wave cycle, measured in seconds.

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T equals one divided by F: a higher frequency means a shorter period.

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Wave speed is how fast the wave travels, measured in metres per second.

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A wavefront joins points at the same stage of a wave, such as the points along a ripple crest.

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Use V equals F times lambda for all waves: speed equals frequency times wavelength.

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Rearrange to F equals V divided by lambda or lambda equals V divided by F.

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A wave of frequency 4 hertz and wavelength 0.5 metres travels at 2 metres per second.

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Convert centimetres or millimetres to metres before using S I equations.

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You can also use V equals distance divided by time for a travelling pulse.

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Do not confuse the speed of a pulse with the sideways or up-and-down speed of the vibrating particles.

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In a ripple tank, a vibrating dipper produces water waves.

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Use a lamp and screen to see the wavefronts; measure the spacing across several wavelengths and divide by the number of intervals.

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Find the frequency from the dipper setting or count its complete vibrations (oscillations) over a measured time: frequency equals number of oscillations divided by time.

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Then calculate V equals F times lambda.

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Use shallow, even water and small ripples; reflections from edges can interfere.

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Take repeats and avoid mistaking a moving shadow's scale for the actual wavelength.

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For waves in a solid, a stretched string driven by a vibration generator is suitable.

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Identify adjacent nodes in a stationary-wave pattern: their spacing is half a wavelength, so lambda equals two times node spacing.

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Keep the string tension and length controlled.

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Use the generator frequency and measured wavelength to calculate speed; stationary waves are produced by opposite travelling waves.

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For a pulse on a rope or spring, measure a long known travel distance and time its passage.

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Slow pulses suit a stopwatch; short fast travel needs electronic timing or video.

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To measure sound speed, use two microphones separated by a measured distance and an oscilloscope or data logger to measure the arrival-time difference of a sharp sound.

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Electronic timing resolves the short delay between the microphones.

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An echo method uses speed equals 2 times distance to reflector divided by echo delay, because the sound travels out and back.

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Longer distances reduce relative timing error; repeat safely.

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Choose equipment with sufficient time and distance resolution.

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State measured quantities, units, controls, repeats and likely sources of uncertainty.

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Refraction happens when a wave crosses into a region where it travels at a different speed.

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Unless it meets the boundary along the normal, it also changes direction.

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The boundary between two materials (media) is called the interface.

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The normal is an imaginary line at right angles to the boundary.

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Measure angles from the normal, not from the surface.

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When a wave slows on entering a medium at an angle, it bends towards the normal.

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When it speeds up, it bends away from the normal.

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Angles are measured from the normal; at normal incidence there is no bend.

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A wave meeting a boundary straight along the normal (normal incidence) does not change direction, although its speed and wavelength can change.

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Its frequency stays the same because the source still vibrates at the same rate.

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Since V equals F times lambda and frequency is unchanged, a lower speed means a shorter wavelength.

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Shallower water slows ripples compared with deeper water.

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Materials can reflect, transmit, absorb or refract waves, with effects depending on wavelength.

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A transmitted wave need not keep the same speed as before.

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That completes Waves.

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Revisit the notes and test yourself on the revision website.
