Waves and the electromagnetic spectrum
By the end of this chapter you will be able to
- Distinguish transverse and longitudinal waves, with examples
- Name and measure amplitude, wavelength, frequency and period
- Use v = f x lambda and T = 1 / f in simple calculations
- Explain how waves transfer energy and information without transferring matter
- Order the electromagnetic spectrum, and link each part to a use and a hazard
You should already know
- Light and sound waves (Year 8 Science, Chapter 12)
- Speed, distance and time (Year 7 Science, Chapter 11)
Where this leads
- Every topic in Year 9 physics uses energy transfer, and this chapter completes the physics strand
National Curriculum for England, Key Stage 3 science, Year 9. Content: 9P6 transverse and longitudinal waves: amplitude, wavelength, frequency and period, in metres, hertz and seconds, 9P6 the wave equation v = f x lambda in simple cases, 9P6 waves transfer energy and information without transferring matter, 9P6 the electromagnetic spectrum in depth: order by wavelength and frequency; uses and hazards explained through energy per photon (basic), 9P6 all electromagnetic waves travel at the same speed in a vacuum (deepens Year 8, Chapter 12).
Exercise P Do you remember?
Method. Recall the word.
- Recall. Energy that travels as a disturbance is carried by waves.carried by waves
- Write the answer. waves
Check. Waves transfer energy. ✓
Method. Multiply 4 by 2.5.
- Multiply. Four lots of 2.5 is 10.4 x 2.5 = 10
- Write the answer. 10
Check. 10 / 4 = 2.5. ✓
Method. Recall the speed.
- Recall. The speed of light in a vacuum is about 300 000 000 m/s.300 000 000 m/s
- Write the answer. 3 x 10^8
Check. That is about 3 x 10 to the power 8 m/s. ✓
Method. Recall the unit.
- Recall. Frequency is measured in hertz, Hz.hertz
- Write the answer. Hz
Check. One hertz is one wave per second. ✓
Method. Divide 12 by 4.
- Divide. Share 12 into 4 equal groups.12 / 4 = 3
- Write the answer. 3
Check. 3 x 4 = 12. ✓
Transverse and longitudinal waves
In a transverse wave, the particles vibrate at right angles to the direction the energy travels. Water waves, light and other electromagnetic waves are transverse. In a longitudinal wave, the particles vibrate parallel to the direction of energy transfer. Sound waves are longitudinal, with compressions and rarefactions.
Key ideas
- Transverse: vibration at right angles to the direction of travel.
- Longitudinal: vibration parallel to the direction of travel.
- Water waves and light are transverse; sound is longitudinal.
- Compressions and rarefactions are the features of a longitudinal wave.
Method. Think about how the water moves.
- Look. Water particles move up and down, at right angles to the wave.up and down
- Name it. So water waves are transverse.transverse
- Write the answer. transverse
Check. The wave travels across the surface. ✓
Method. Recall the features of sound.
- Recall. Sound has compressions and rarefactions along the direction of travel.compressions and rarefactions
- Name it. So sound is longitudinal.longitudinal
- Write the answer. longitudinal
Check. The particles vibrate along the direction of travel. ✓
Method. Recall which wave is longitudinal.
- Recall. Light is a transverse wave.transverse
- Name it. So the sound wave is the longitudinal one.sound wave
- Write the answer. sound wave
Check. Light is an electromagnetic transverse wave. ✓
Watch out
Watch out: a wave does not carry the particles along with it. The particles only vibrate about a fixed position.
Exam tip
Exam tip. Describe the vibration relative to the direction of travel, using the words “at right angles” or “parallel”.
Try it (with your teacher, or a grown-up at home). With your teacher, tie one end of a long soft spring to a fixed point. Flick one end side to side to make a transverse wave, then push and pull it along to make a longitudinal wave. Say which way the coils vibrate in each case.
Exercise 13A Transverse and longitudinal waves
Method. Recall the definition.
- Recall. In a transverse wave the vibration is at right angles.at right angles
- Write the answer. at right angles
Check. Water and light waves are transverse. ✓
Method. Recall the definition.
- Recall. In a longitudinal wave the vibration is parallel to the direction of travel.parallel
- Write the answer. parallel
Check. Sound is longitudinal. ✓
Method. Recall the regions.
- Recall. The crowded region is a compression.crowded region
- Write the answer. compression
Check. The spread-out region is a rarefaction. ✓
Method. Recall the type.
- Recall. Light is an electromagnetic transverse wave.transverse
- Write the answer. transverse
Check. All electromagnetic waves are transverse. ✓
Method. Recall the type.
- Recall. Sound is a longitudinal wave.longitudinal
- Write the answer. longitudinal
Check. Sound has compressions and rarefactions. ✓
Method. Recall the rule.
- Recall. The particles only vibrate about a fixed position.fixed position
- Write the answer. no
Check. Energy moves on, the particles do not. ✓
Method. Think about the shape.
- Think. Crests and troughs are the high and low points of the wave shape.high and low
- Decide. Only a transverse wave is drawn with crests and troughs.transverse
- Write the answer. transverse
Check. A longitudinal wave is shown with compressions. ✓
Method. Recall the regions.
- Recall. Crowded particles form a compression.crowded
- Write the answer. compression
Check. Spread-out particles form a rarefaction. ✓
Method. Recall the rule.
- Recall. The air particles vibrate and pass the vibration on, but do not travel to your ear.do not travel
- Decide. So the answer is no.no
- Write the answer. no
Check. Only the energy travels to the ear. ✓
Method. Think about the energy.
- Think. The energy moves along the rope.energy moves
- Conclude. Each part of the rope only moves up and down about its position.up and down
- Write the answer. Accept any sentence saying the pulse of energy moves along the rope, while each part only moves up and down.
Check. Energy moves, matter stays. ✓
Method. Think about the vacuum.
- Think. Light is transverse and needs no particles to travel.needs no particles
- Conclude. So not all waves need particles to vibrate; the answer is no.no
- Write the answer. Accept no, because light (transverse) travels through a vacuum where there are no particles.
Check. Electromagnetic waves do not need a medium. ✓
Amplitude, wavelength, frequency and period
Amplitude is the maximum displacement of the wave from its rest position. Wavelength is the distance from one crest to the next (or from one compression to the next). Frequency is the number of waves passing a point each second, measured in hertz, Hz. Period is the time for one full wave to pass a point, measured in seconds.
The period and frequency are linked by T = 1 / f: the period is one divided by the frequency, and the frequency is one divided by the period.
| Quantity | Symbol | Unit | Meaning |
|---|---|---|---|
| amplitude | - | m | maximum displacement from rest |
| wavelength | lambda | m | distance from one crest to the next |
| frequency | f | Hz | number of waves passing a point each second |
| period | T | s | time for one full wave to pass a point |
| wave speed | v | m/s | distance travelled per second |
Key ideas
- Amplitude: maximum displacement from rest, in metres.
- Wavelength: crest to crest, in metres.
- Frequency: waves per second, in hertz (Hz).
- Period: time for one wave, in seconds; T = 1 / f.
Method. Frequency = number of waves / time.
- Divide. 40 / 10 = 4.40 / 10
- Conclude. So the frequency is 4 Hz.4
- Write the answer. 4
Check. 4 waves per second. ✓
Method. Use T = 1 / f.
- Write. T = 1 / 20.1 / 20
- Calculate. So the period is 0.05 s.1 / 20 = 0.05
- Write the answer. 0.05
Check. 20 x 0.05 = 1. ✓
Method. Use f = 1 / T.
- Write. f = 1 / 0.5.1 / 0.5
- Calculate. So the frequency is 2 Hz.1 / 0.5 = 2
- Write the answer. 2
Check. 2 x 0.5 = 1. ✓
Watch out
Watch out: amplitude is not the wavelength. Amplitude is the height from rest to a crest; wavelength is crest to crest.
Exam tip
Exam tip. Frequency is in hertz, period is in seconds. Use T = 1 / f to switch between them.
Try it (with your teacher, or a grown-up at home). With your teacher, use a ripple tank or a bowl of water and a finger. Tap at a steady rate for 10 seconds and count the waves that pass a point. Work out the frequency and the period.
Exercise 13B Amplitude, wavelength, frequency and period
Method. Recall the unit.
- Recall. Frequency is measured in hertz, Hz.hertz
- Write the answer. hertz
Check. One hertz is one wave per second. ✓
Method. Recall the unit.
- Recall. Period is a time, so it is measured in seconds.a time
- Write the answer. seconds
Check. The symbol is s. ✓
Method. Recall the name.
- Recall. The maximum displacement from rest is the amplitude.maximum displacement
- Write the answer. amplitude
Check. Amplitude is the height of the wave. ✓
Method. Recall the name.
- Recall. Crest to crest is the wavelength.crest to crest
- Write the answer. wavelength
Check. The symbol is lambda. ✓
Method. Frequency is waves per second.
- Read. 5 waves each second is 5 Hz.5 Hz
- Write the answer. 5
Check. Frequency is the number per second. ✓
Method. Divide the number of waves by the time.
- Divide. 40 / 10 = 4.40 / 10 = 4
- Write the answer. 4
Check. 4 x 10 = 40. ✓
Method. Use T = 1 / f.
- Calculate. T = 1 / 2 = 0.5 s.1 / 2 = 0.5
- Write the answer. 0.5
Check. 2 x 0.5 = 1. ✓
Method. Use T = 1 / f.
- Calculate. T = 1 / 20 = 0.05 s.1 / 20 = 0.05
- Write the answer. 0.05
Check. 20 x 0.05 = 1. ✓
Method. Use f = 1 / T.
- Calculate. f = 1 / 0.25 = 4 Hz.1 / 0.25 = 4
- Write the answer. 4
Check. 4 x 0.25 = 1. ✓
Method. Divide the time by the period.
- Divide. 10 / 2 = 5.10 / 2 = 5
- Write the answer. 5
Check. 5 x 2 = 10. ✓
Method. Compare the two measurements.
- Compare. The amplitude is 1 cm high and the wavelength is 4 cm.1 cm and 4 cm
- Decide. So the wavelength is larger.wavelength
- Write the answer. wavelength
Check. Amplitude is the height only. ✓
Method. Think about the time for one wave.
- Think. One wave takes a period of time.takes a period
- Conclude. So the number of waves each second is 1 / T, which is the frequency.is 1 / T
- Write the answer. Accept any sentence saying one wave takes one period, so the number of waves each second is one divided by that time.
Check. Frequency and period are reciprocals. ✓
Method. Find the frequency, then the period.
- Frequency. 60 / 20 = 3 Hz.60 / 20 = 3
- Period. T = 1 / 3 = 0.33 s, to two decimal places.1 / 3 = 0.33
- Write the answer. 0.33
Check. 3 x 0.33 is about 1. ✓
The wave equation: v = f x lambda
The wave equation links the speed of a wave to its frequency and wavelength: v = f x lambda, where v is the speed in metres per second, f is the frequency in hertz and lambda is the wavelength in metres. It can be rearranged to f = v / lambda or lambda = v / f.
Key ideas
- Wave equation: v = f x lambda.
- Speed in metres per second; frequency in hertz; wavelength in metres.
- Rearrange: f = v / lambda, lambda = v / f.
- Change centimetres to metres before using the equation.
Method. Use v = f x lambda.
- Write. v = 50 x 4.50 x 4
- Calculate. So the speed is 200 m/s.50 x 4 = 200
- Write the answer. 200
Check. 200 / 50 = 4 m. ✓
Method. Use f = v / lambda.
- Write. f = 300 / 3.300 / 3
- Calculate. So the frequency is 100 Hz.300 / 3 = 100
- Write the answer. 100
Check. 100 x 3 = 300 m/s. ✓
Method. Use v = f x lambda in cm.
- Write. v = 5 x 4.5 x 4
- Calculate. So the speed is 20 cm/s.5 x 4 = 20
- Write the answer. 20
Check. 20 / 4 = 5 Hz. ✓
Watch out
Watch out: keep the units consistent. A wavelength in centimetres gives a speed in centimetres per second.
Exam tip
Exam tip. Write v = f x lambda, substitute the three values with their units, then calculate. Check the unit of your answer.
Try it (with your teacher, or a grown-up at home). With your teacher, use a ripple tank or a bowl of water. Count the waves that pass a point each second to find the frequency, and measure the distance between two crests to find the wavelength. Calculate the speed of the ripples.
Exercise 13C The wave equation: v = f x lambda
Method. Recall the equation.
- Recall. The wave speed is the frequency multiplied by the wavelength.frequency multiplied by
- Write the answer. v = f x lambda
Check. Check the units: m/s = Hz x m. ✓
Method. Recall the unit.
- Recall. Wavelength is measured in metres.metres
- Write the answer. metres
Check. The symbol is m. ✓
Method. Recall the unit.
- Recall. Speed is measured in metres per second, m/s.metres per second
- Write the answer. m/s
Check. Speed is distance divided by time. ✓
Method. Divide both sides by lambda.
- Divide. Dividing both sides by lambda gives f = v / lambda.f = v / lambda
- Write the answer. f = v / lambda
Check. Check: f x lambda = v. ✓
Method. Multiply the frequency by the wavelength.
- Calculate. 50 x 4 = 200.50 x 4 = 200
- Write the answer. 200
Check. 200 / 4 = 50 Hz. ✓
Method. Divide the speed by the wavelength.
- Divide. 300 / 3 = 100.300 / 3 = 100
- Write the answer. 100
Check. 100 x 3 = 300. ✓
Method. Divide the speed by the frequency.
- Divide. 340 / 85 = 4.340 / 85 = 4
- Write the answer. 4
Check. 85 x 4 = 340. ✓
Method. Multiply.
- Calculate. 10 x 0.5 = 5.10 x 0.5 = 5
- Write the answer. 5
Check. 5 / 0.5 = 10 Hz. ✓
Method. Divide the speed by the frequency.
- Divide. 20 / 4 = 5.20 / 4 = 5
- Write the answer. 5
Check. 4 x 5 = 20. ✓
Method. Multiply in the same units.
- Calculate. 5 x 4 = 20 cm/s.5 x 4 = 20
- Write the answer. 20
Check. 20 / 4 = 5 Hz. ✓
Method. Divide the speed by the frequency.
- Divide. 300 / 150 = 2.300 / 150 = 2
- Write the answer. 2
Check. 150 x 2 = 300. ✓
Method. Use the equation.
- Think. v = f x lambda, and v stays the same.v stays the same
- Conclude. So if f doubles, lambda must halve.lambda must halve
- Write the answer. Accept any sentence saying the speed is fixed, so the wavelength must fall as the frequency rises.
Check. Check: 2f x lambda/2 = f x lambda. ✓
Method. Use f = v / lambda.
- Divide. f = 340 / 0.68.340 / 0.68
- Calculate. So the frequency is 500 Hz.340 / 0.68 = 500
- Write the answer. 500
Check. 500 x 0.68 = 340. ✓
Waves transfer energy and information
Waves transfer energy and, in some cases, information, from one place to another, without transferring matter. The particles of a water wave move up and down about their position. The energy moves on along the water.
Sound waves are used in a microphone to convert pressure changes into electrical signals. Ultrasound waves carry energy used for cleaning and physiotherapy. Radio waves carry information without moving any matter.
Key ideas
- Waves transfer energy, not matter.
- Information can be carried by waves, such as radio and sound.
- A microphone converts sound waves into electrical signals.
- Ultrasound carries energy, used for cleaning and physiotherapy.
Method. Think about the particles.
- Think. The water particles only move up and down about their positions.up and down
- Decide. So the water does not travel across; the answer is no.no
- Write the answer. no
Check. The wave transfers energy, not matter. ✓
Method. Recall the purpose of a microphone.
- Recall. A microphone changes the pressure of sound into an electrical signal.electrical signal
- Name it. So it converts sound waves into electrical signals.electrical signals
- Write the answer. electrical signals
Check. The electrical signal carries the information. ✓
Method. Recall the use.
- Recall. Ultrasound is used for cleaning and physiotherapy.cleaning and physiotherapy
- Name it. So the wave is ultrasound.ultrasound
- Write the answer. ultrasound
Check. Ultrasound carries energy. ✓
Watch out
Watch out: a radio wave carries information but is not a matter wave. Information is not the same as matter moving.
Exam tip
Exam tip. When asked what a wave transfers, say “energy and, in some cases, information”, and “not matter”.
Try it (with your teacher, or a grown-up at home). With your teacher, flick a rope or stand a row of books and push one at the end. Say whether the rope or books move along with the wave, and what moves on.
Exercise 13D Waves transfer energy and information
Method. Recall the rule.
- Recall. Waves transfer energy, not matter.transfer energy
- Write the answer. no
Check. Particles only vibrate about a fixed position. ✓
Method. Recall the rule.
- Recall. Waves transfer energy.transfer energy
- Write the answer. energy
Check. Some waves also transfer information. ✓
Method. Recall the wave.
- Recall. Radio waves carry the information in a radio signal.radio waves
- Write the answer. radio waves
Check. Radio waves are part of the electromagnetic spectrum. ✓
Method. Recall the job of a microphone.
- Recall. A microphone converts sound into electrical signals.electrical signals
- Write the answer. electrical signals
Check. The signal can then be stored or amplified. ✓
Method. Recall the use.
- Recall. Ultrasound carries energy used for cleaning and physiotherapy.carries energy
- Write the answer. ultrasound
Check. Ultrasound is a sound wave above human hearing. ✓
Method. Think about the particles.
- Think. The particles vibrate about their positions.vibrate about
- Decide. So they do not travel across the pond; the answer is no.no
- Write the answer. no
Check. Only the energy travels. ✓
Method. Think about what the signal is.
- Think. The wave carries the information of the song, and energy.information and energy
- Decide. No matter is carried; the answer is energy and information.energy and information
- Write the answer. energy and information
Check. No matter moves from the station to the radio. ✓
Method. Think about the air particles.
- Think. The air particles vibrate and pass on the energy.pass on the energy
- Decide. So the air does not travel all the way; the answer is no.no
- Write the answer. no
Check. Energy travels, air particles stay near. ✓
Method. Think about a wave that heats.
- Think. Microwaves and infrared transfer energy to heat things.transfer energy to heat
- Name one. Cooking with microwaves is one example.cooking with microwaves
- Write the answer. Accept any one: cooking with microwaves, or heating with infrared.
Check. Energy is transferred by waves. ✓
Method. Think about the vibration.
- Think. The drum makes the air particles vibrate.air particles vibrate
- Conclude. The vibration is passed on, so energy moves while particles stay near.stay near
- Write the answer. Accept any sentence saying the particles vibrate and pass the vibration on, so the energy moves while the particles stay near their positions.
Check. Energy moves, matter does not. ✓
Method. Think about what carries the message.
- Think. The message is encoded in the wave.encoded in the wave
- Conclude. So information moves with the energy, not with matter.not with matter
- Write the answer. Accept any sentence saying the information is carried by the energy of the wave, not by moving matter.
Check. Information travels with the wave. ✓
The electromagnetic spectrum
All electromagnetic waves are transverse, and they all travel at the same speed in a vacuum: about 3 x 108 m/s. They differ in wavelength and frequency. In order of increasing wavelength (decreasing frequency): gamma rays, X-rays, ultraviolet, visible light, infrared, microwaves and radio waves. The shorter the wavelength, the higher the frequency.
Higher frequency waves carry more energy per photon. This explains the hazards: ultraviolet, X-rays and gamma rays can damage cells, while radio waves carry too little energy to do this.
| Wave (longest to shortest wavelength) | Typical use | Hazard |
|---|---|---|
| radio waves | broadcasting and communication | very little; long wavelength |
| microwaves | cooking food and mobile phone signals | heating of body tissue at high power |
| infrared | remote controls and heaters | burns from strong heat |
| visible light | seeing and photography | very bright light can damage the eye |
| ultraviolet | fluorescent lamps and security marking | sunburn and skin damage |
| X-rays | medical imaging and checking materials | can damage cells; limited exposure |
| gamma rays | treating cancer and sterilising equipment | can damage cells; strictly controlled |
Key ideas
- All electromagnetic waves travel at about 3 x 108 m/s in a vacuum.
- Order by wavelength: radio, microwave, infrared, visible, ultraviolet, X-ray, gamma.
- Shorter wavelength means higher frequency and more energy per photon.
- Ultraviolet, X-rays and gamma rays are hazardous to cells.
Method. Use the order of the spectrum.
- Look. Infrared lies at longer wavelengths than X-rays.longer wavelengths
- Name it. So infrared has the longer wavelength.infrared
- Write the answer. infrared
Check. X-rays have higher frequency and energy. ✓
Method. Higher frequency means more energy per photon.
- Look. Gamma rays have a much higher frequency than microwaves.higher frequency
- Name it. So gamma rays carry more energy per photon.gamma rays
- Write the answer. gamma rays
Check. Gamma rays are at the high-frequency end. ✓
Method. Recall the speed.
- Recall. The speed in a vacuum is about 3 x 108 m/s.3 x 108
- Name it. So the speed is 3 x 108 m/s.3 x 10^8
- Write the answer. 3 x 10^8
Check. The same for radio and gamma waves. ✓
Watch out
Watch out: the order of the spectrum is by wavelength, not by how strong a wave is. Radio waves are not weak in every sense; they carry little energy per photon.
Exam tip
Exam tip. Learn the order with a mnemonic. Remember that the shorter the wavelength, the higher the frequency and the energy.
Try it (with your teacher, or a grown-up at home). Using a sunny window (never look at the Sun), and a mobile phone or a TV remote, describe which waves you cannot see but can detect. Use a grown-up to check that your phone is not used near the eyes.
Exercise 13E The electromagnetic spectrum
Method. Recall the speed.
- Recall. Electromagnetic waves travel at about 3 x 108 m/s in a vacuum.3 x 108 m/s
- Write the answer. 3 x 10^8
Check. All electromagnetic waves share this speed. ✓
Method. Recall the use.
- Recall. Radio waves are used for broadcasting.broadcasting
- Write the answer. radio waves
Check. Radio waves have the longest wavelength. ✓
Method. Recall the use.
- Recall. X-rays are used to image inside the body.image inside
- Write the answer. X-rays
Check. X-rays can damage cells in large doses. ✓
Method. Recall the part.
- Recall. The part of the spectrum we can see is visible light.can see
- Write the answer. visible light
Check. Visible light is a small part of the spectrum. ✓
Method. Recall the hazard.
- Recall. Ultraviolet causes sunburn and skin damage.sunburn
- Write the answer. ultraviolet
Check. Protect skin from UV. ✓
Method. Use the order of the spectrum.
- Look. The order by wavelength is infrared, then microwaves, then radio waves.infrared, microwaves
- Decide. Microwaves have a longer wavelength than infrared.longer wavelength
- Write the answer. microwaves
Check. Microwaves lie between infrared and radio. ✓
Method. Use the order.
- Look. Ultraviolet has a shorter wavelength than infrared.shorter wavelength
- Decide. Shorter wavelength means higher frequency, so ultraviolet.ultraviolet
- Write the answer. ultraviolet
Check. Higher frequency carries more energy. ✓
Method. Read the order of the spectrum.
- Read. In increasing wavelength: gamma, X-ray, ultraviolet, visible, infrared, microwave, radio.ultraviolet, visible
- Decide. Ultraviolet is listed just before visible light.ultraviolet
- Write the answer. ultraviolet
Check. Visible light is between ultraviolet and infrared. ✓
Method. Recall the rule.
- Recall. All electromagnetic waves travel at the same speed in a vacuum.same speed
- Decide. So the speeds are the same, and the answer is yes.yes
- Write the answer. yes
Check. Only the wavelength and frequency differ. ✓
Method. Compare the photons.
- Think. Ultraviolet has higher frequency than visible light.higher frequency
- Conclude. So each photon has more energy, which can damage skin cells.damage skin cells
- Write the answer. Accept any sentence saying ultraviolet has a higher frequency and more energy per photon, so it can damage cells.
Check. Energy per photon explains the hazard. ✓
Method. Compare the energy per photon.
- Think. Radio waves have a low frequency and little energy per photon.little energy
- Conclude. Gamma rays have much more energy per photon, so they damage cells.damage cells
- Write the answer. Accept any sentence saying radio waves have low frequency and little energy per photon, so they do not damage cells in the same way.
Check. The energy per photon matters. ✓
Chapter summary
| Skill | Method |
|---|---|
| Transverse and longitudinal | Transverse: vibration at right angles to travel (light, water). Longitudinal: parallel (sound). |
| Wave terms | Amplitude (height from rest); wavelength (crest to crest); frequency (Hz); period (s); T = 1 / f. |
| Wave equation | v = f x lambda; f = v / lambda; lambda = v / f. |
| Energy and information | Waves transfer energy, and some carry information, without transferring matter. |
| Electromagnetic spectrum | Radio, microwave, infrared, visible, ultraviolet, X-ray, gamma; all travel at 3 x 108 m/s in a vacuum. |
| Hazards | Higher frequency means more energy per photon; ultraviolet, X-rays and gamma rays can damage cells. |
Can you…?
- I can distinguish transverse and longitudinal waves, with examples
- I can name and measure amplitude, wavelength, frequency and period
- I can use v = f x lambda and T = 1 / f in simple calculations
- I can explain how waves transfer energy and information without transferring matter
- I can order the electromagnetic spectrum, and link each part to a use and a hazard
Key terms
- transverse wave
- a wave in which the vibration is at right angles to the direction of energy transfer
- longitudinal wave
- a wave in which the vibration is parallel to the direction of energy transfer
- amplitude
- the maximum displacement of a wave from its rest position
- wavelength
- the distance from one point on a wave to the same point on the next wave, such as crest to crest
- frequency
- the number of waves passing a point each second, measured in hertz
- hertz
- the unit of frequency: one wave per second
- period
- the time for one full wave to pass a point, in seconds
- compression
- a region where the particles of a longitudinal wave are crowded together
- rarefaction
- a region where the particles of a longitudinal wave are spread out
- electromagnetic spectrum
- the range of electromagnetic waves, from radio waves to gamma rays
- photon
- a packet of electromagnetic energy; higher frequency photons carry more energy
Exercise 13Z Check-up
Method. Recall the type.
- Recall. Sound has compressions and rarefactions.compressions
- Write the answer. longitudinal
Check. Light is transverse. ✓
Method. Recall the name.
- Recall. The maximum displacement is the amplitude.amplitude
- Write the answer. amplitude
Check. Amplitude is the height. ✓
Method. Use T = 1 / f.
- Calculate. T = 1 / 20 = 0.05 s.1 / 20 = 0.05
- Write the answer. 0.05
Check. 20 x 0.05 = 1. ✓
Method. Use v = f x lambda.
- Calculate. 50 x 4 = 200.50 x 4 = 200
- Write the answer. 200
Check. 200 / 4 = 50. ✓
Method. Use f = v / lambda.
- Calculate. 300 / 3 = 100.300 / 3 = 100
- Write the answer. 100
Check. 100 x 3 = 300. ✓
Method. Recall the use.
- Recall. Radio waves are used for broadcasting.broadcasting
- Write the answer. radio waves
Check. Radio has the longest wavelength. ✓
Method. Use the order.
- Look. X-rays come before infrared in the order of decreasing wavelength.X-rays
- Write the answer. X-rays
Check. X-rays have higher frequency. ✓
Method. Recall the rule.
- Recall. Waves transfer energy.transfer energy
- Write the answer. energy
Check. Matter does not move with the wave. ✓
Method. Recall the speed.
- Recall. The speed is about 3 x 108 m/s.3 x 108
- Write the answer. 3 x 10^8
Check. Same for all electromagnetic waves. ✓
Method. Recall the link.
- Recall. Energy per photon depends on the frequency.depends on the frequency
- Conclude. Higher frequency means more energy per photon.more energy per photon
- Write the answer. Accept any sentence saying energy per photon increases with frequency.
Check. The shorter the wavelength, the more energy. ✓
Total 21 marks. Allow about 21 minutes.
Exercise 13X Practice test questions
Method. Recall the type.
- Recall. Light is an electromagnetic transverse wave.transverse
- Write the answer. transverse
Check. Sound is longitudinal. ✓
Method. Use f = 1 / T.
- Calculate. f = 1 / 0.25 = 4 Hz.1 / 0.25 = 4
- Write the answer. 4
Check. 4 x 0.25 = 1. ✓
Method. Use lambda = v / f.
- Divide. 340 / 85 = 4.340 / 85 = 4
- Write the answer. 4
Check. 85 x 4 = 340. ✓
Method. Recall the uses and hazards.
- Imaging. X-rays are used for medical imaging.X-rays
- Sunburn. Ultraviolet causes sunburn.ultraviolet
- Write the answer. X-rays; ultraviolet
Check. Two different parts of the spectrum. ✓
Method. Compare the vibrations.
- Transverse. The vibration is at right angles to the direction of travel.right angles
- Longitudinal. The vibration is parallel to the direction of travel.parallel
- Write the answer. Accept any sentence saying the vibration is at right angles to the direction of travel in a transverse wave, and parallel in a longitudinal wave.
Check. Both halves are needed. ✓
Method. Use v = f x lambda.
- Calculate. 2 x 0.5 = 1.2 x 0.5 = 1
- Write the answer. 1
Check. 1 / 0.5 = 2 Hz. ✓
Method. Use the spectrum.
- Order. Radio waves are the longest, then visible light, then X-rays, which are the shortest.radio, visible, X-rays
- Write the answer. radio waves, visible light, X-rays
Check. Shorter wavelength means higher frequency. ✓
Method. Describe the vibration and the energy.
- Vibration. The source makes the air particles vibrate.vibrate
- Transfer. Each particle passes the vibration to its neighbour.neighbour
- Conclude. So energy moves on while the particles stay near their places.stay near
- Write the answer. Accept any answer saying the particles vibrate and pass the vibration on, so the energy moves while the particles stay near their places.
Check. Energy moves, matter does not. ✓
Method. Compare the two parts of the spectrum.
- Compare. Ultraviolet has a higher frequency than visible light.higher frequency
- Energy. So each photon of ultraviolet carries more energy.more energy per photon
- Conclude. That extra energy can damage skin cells.damage skin cells
- Write the answer. Accept any answer saying ultraviolet has a higher frequency, so more energy per photon, which can damage cells.
Check. Energy per photon explains the hazard. ✓
Method. Use v = f x lambda, then T = 1 / f.
- Speed. v = 5 x 4 = 20 cm/s.5 x 4 = 20
- Period. T = 1 / 5 = 0.2 s.1 / 5 = 0.2
- Write the answer. 20; 0.2
Check. 20 / 4 = 5 Hz; 1 / 0.2 = 5 Hz. ✓