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5.3.1 Wavelength and how substances affect waves

Four ways a substance affects a wave

Definition

Absorption

The transfer of energy from a wave to the material it is travelling through or striking.

Definition

Transmission

The passing of a wave through an interface so that it carries on travelling into the second material.

Definition

Reflection

The change in direction of a wave at an interface so that it travels back into the material it came from.

Definition

Refraction

The change in direction of a wave as it crosses an interface at an angle, caused by a change in its speed.

  1. When an electromagnetic wave reaches the surface of a substance, it can be reflected, transmitted, refracted or absorbed.
  2. Reflection sends the wave back from the interface into the material it came from, as happens when light meets a mirror.
  3. Transmission lets the wave carry on through the substance and out of the other side, as light does through a clean window.
  4. Refraction is a change in the direction of a transmitted wave as it crosses an interface at an angle.
  5. Absorption transfers the energy carried by the wave to the substance, which usually increases its thermal energy store so that it warms up.
  6. These four effects are not alternatives where only one can happen, because a single beam is normally shared between several of them at the same interface.
  7. Light striking a window pane is mostly transmitted, but a small fraction is reflected from each surface of the glass and a little is absorbed inside it.
  8. The reflected fraction is the reason you can see a faint reflection of yourself in a shop window while most of the light still passes straight through.
  9. Energy is conserved at the interface, so the energy reflected, transmitted and absorbed always adds up to the energy carried by the incident wave.
Example

Sharing out the energy at a window

  • A beam of sunlight carries 500 J500\ \text{J}500 J of energy onto a window pane in a few seconds.
  • The glass reflects 40 J40\ \text{J}40 J of this energy and absorbs 15 J15\ \text{J}15 J.
  • The transmitted energy is whatever is left once the reflected and absorbed energy have been taken away.
Etransmitted=Eincident−Ereflected−Eabsorbed E_{\text{transmitted}} = E_{\text{incident}} - E_{\text{reflected}} - E_{\text{absorbed}} Etransmitted​=Eincident​−Ereflected​−Eabsorbed​ Etransmitted=500−40−15=445 J E_{\text{transmitted}} = 500 - 40 - 15 = 445\ \text{J} Etransmitted​=500−40−15=445 J
  • The 15 J15\ \text{J}15 J that is absorbed goes into the thermal energy store of the glass, which is why a window in direct sun feels warm to the touch.

Why wavelength matters

Definition

Wavelength

The distance from one point on a wave to the equivalent point on the next wave.

Definition

Transparent

Describes a material that transmits a particular wave almost completely, so that very little of it is absorbed or scattered.

Definition

Opaque

Describes a material that transmits none of a particular wave, because it absorbs or reflects all of it.

  1. Different parts of the electromagnetic spectrum have very different wavelengths, from radio waves that can be kilometres long to gamma rays smaller than an atom.
  2. The way a substance responds to a wave depends on the wavelength of the wave as well as on the substance itself.
  3. One substance can therefore transmit one wavelength, absorb a second wavelength and reflect a third.
  4. Words such as transparent and opaque only make sense when you also say which wavelength you are describing.
  5. Ordinary window glass is transparent to visible light, but it absorbs most ultraviolet and much of the infrared at longer wavelengths.
  6. This is why you are unlikely to get sunburnt sitting behind a closed window, even on a bright summer day.
  7. It also explains why a greenhouse or a parked car warms up in the sun, because visible light passes in through the glass and is absorbed by the plants or the seats.
  8. The warmed surfaces then give out longer-wavelength infrared, which the glass absorbs rather than transmits, so the energy stays inside.
  9. A brick wall is opaque to visible light, but it transmits most radio waves, which is why a radio still picks up a station inside a house.
  10. Metal surfaces reflect radio waves and microwaves strongly, so the metal mesh in the door of a microwave oven keeps the microwaves inside.
  11. The holes in that mesh are much smaller than the wavelength of the microwaves but much larger than the wavelength of visible light, so you can still see your food cooking.
  12. Water molecules absorb microwaves of the wavelength used in a microwave oven, so the water in food gains energy and the food heats up.
  13. Soft tissue in the body transmits most X-rays, while bone absorbs them much more strongly, which is the idea behind an X-ray photograph.
  14. The Earth's atmosphere transmits visible light and most radio waves, but the ozone layer absorbs much of the Sun's ultraviolet and gases such as carbon dioxide absorb some infrared.
Example

Reading a transmission graph

  • A graph shows the percentage of radiation transmitted by a sheet of clear acrylic plastic at different wavelengths.
  • At 550 nm550\ \text{nm}550 nm, in the middle of the visible range, the graph reads 92%92\%92%, so almost all visible light passes through and the sheet looks clear.
  • At 300 nm300\ \text{nm}300 nm, in the ultraviolet, the graph reads 4%4\%4%, so the sheet blocks nearly all of this radiation.
  • The remaining 96%96\%96% of the ultraviolet has been absorbed or reflected, and the graph alone cannot tell you how it is split between the two.
  • The sheet is therefore transparent to visible light but close to opaque for ultraviolet at 300 nm300\ \text{nm}300 nm, which makes it suitable for a display case that protects old documents from fading.

Refraction varies with wavelength too

  1. Refraction also depends on wavelength, so different wavelengths change direction by slightly different amounts when they cross the same interface.
  2. When a narrow beam of white light passes through a glass prism, violet light is refracted through a larger angle than red light.
  3. The colours that make up white light therefore separate and fan out into a spectrum on a screen placed beyond the prism.
  4. Water droplets in the air separate sunlight in the same way, which is how the colours of a rainbow appear.
Common Mistake
  • Do not describe a material as transparent or opaque without saying which wavelength you mean, because glass is transparent to visible light but blocks most ultraviolet.
  • Do not assume that low transmission means high absorption, because some of the radiation that is not transmitted may have been reflected.
  • Do not say that absorbed radiation disappears, because its energy is transferred to the thermal energy store of the material.
  • Do not mix up reflection and refraction, because a reflected wave stays in its original material while a refracted wave carries on into the new one.
Exam technique

Explaining how a material affects a wave

  • Name the type of electromagnetic wave or quote its wavelength, because the answer depends on which part of the spectrum is involved.
  • Use the exact process words absorbed, transmitted, reflected and refracted rather than vague phrases such as "blocked" or "lets it through".
  • When a question gives a graph or a table, quote the relevant values for each wavelength before you state your conclusion.
  • If a material warms up, link the warming to absorption and to energy being transferred to its thermal energy store.
  • When asked to choose a material for a job, say which wavelength it must transmit and which it must absorb or reflect, then pick the material whose data match both.
Self review
  • Name the four things that can happen to an electromagnetic wave when it meets a substance.
  • State what happens to the energy of a wave that is absorbed.
  • Explain why glass is described as transparent to visible light but not to ultraviolet.
  • Explain why the metal mesh in a microwave oven door stops microwaves but lets visible light through.
  • State which colour of white light is refracted most by a glass prism.
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5.3.1 Wavelength and how substances affect waves Revision Guide

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Revision notes for OCR GCSE Physics 5.3.1 Wavelength and how substances affect waves: explanations and worked examples.

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