Physics · Ch 5 — Electromagnetic Waves
Electromagnetic Spectrum
Electromagnetic Spectrum
The electromagnetic spectrum is the complete, orderly arrangement of every possible electromagnetic wave, ordered by wavelength or, equivalently, by frequency -- since for any wave , a longer wavelength always corresponds to a lower frequency and vice versa. Running from the longest wavelengths (lowest frequencies, lowest photon energies) to the shortest, the named regions are: radio waves, produced by the accelerated motion of charges in conducting wires, spanning a few Hz up to Hz, used in radio and television broadcasting and in cellular voice communication in the ultra-high-frequency band, and known for showing reflection and diffraction; microwaves, produced by special vacuum-tube devices such as the klystron, magnetron and Gunn diode, spanning Hz to Hz, used in radar systems for aircraft navigation and vehicle-speed detection, in microwave ovens for cooking, and for long-distance satellite communication, and capable of being polarised; infrared radiation, produced by hot bodies (also called heat waves) and by molecules undergoing rotational and vibrational transitions, spanning Hz to Hz, used to power satellites via solar cells, in night-vision and infrared photography, and in industrial inspection of finished metal products for cracks and flaws; visible light, produced by incandescent bodies and by excited atoms in gases, spanning Hz to Hz, the only part of the spectrum the human eye directly senses, obeying reflection and refraction, showing interference, diffraction and polarisation, exhibiting the photoelectric effect, and used to study molecular structure and atomic electron arrangements; ultraviolet radiation, produced by the Sun, electric arcs and ionized gases, spanning Hz to Hz, used to sterilise surgical instruments and destroy bacteria, in burglar alarms, to reveal invisible writing and fingerprints, and in atomic-structure research, but largely absorbed by the atmosphere's ozone layer and harmful to the human body in excess; X-rays, produced when high-speed electrons are suddenly stopped at a high-atomic-number target, or by electronic transitions among the innermost atomic orbits, spanning Hz to Hz, used to study inner atomic electron shells and crystal structures and, medically, to detect bone fractures, diseased organs and stones, having more penetrating power than ultraviolet; and gamma rays, produced by transitions of radioactive atomic nuclei and by the decay of certain elementary particles, at Hz and above, causing chemical reactions on photographic plates, fluorescence, ionisation and diffraction, used in radiotherapy for cancer and tumours and to sterilise food by killing pathogenic microorganisms, and possessing the highest penetrating power of any region of the spectrum (though carrying no charge, they remain harmful to the human body). A practical illustration of measuring the wave speed directly is given by the household microwave oven: the standing microwaves set up between its interior walls burn food more at the fixed antinode positions than elsewhere, so mea …
| Region | Frequency range | How it is produced | Key uses/effects |
|---|---|---|---|
| Radio waves | few Hz to Hz | accelerated motion of charges in conducting wires | radio and TV broadcasting; cellular voice communication in the UHF band; show reflection and diffraction |
| Microwaves | Hz to Hz | special vacuum tubes: klystron, magnetron, Gunn diode | radar for aircraft navigation and vehicle speed; microwave ovens; long-distance satellite communication; undergo reflection, can be polarised |
| Infrared radiation | Hz to Hz | hot bodies (heat waves); molecular rotational and vibrational transitions | solar-cell power for satellites; night-vision/infrared photography; healing-bone observation; fault/crack detection in finished metal products |
| Visible light | Hz to Hz | incandescent bodies; excited atoms in gases | obeys reflection and refraction; shows interference, diffraction, polarisation and the photoelectric effect; causes the sensation of vision |
| Ultraviolet radiation | Hz to Hz | Sun, electric arcs, ionized gases | sterilising surgical instruments; burglar alarms; detecting invisible writing and fingerprints; studying atomic structure; absorbed by atmospheric ozone, harmful to the human body |
Worked out. A hands-on activity showing that even the speed of light can be measured with kitchen equipment. Microwaves of wavelength 1 mm to 30 cm, produced inside a microwave oven, form standing waves between the oven's interior walls, with fixed nodes (zero amplitude) and antinodes (maximum amplitude) exactly as studied for standing waves in Class XI. Placing a flat food item such as chappathi or chocolate inside the oven with its rotating turntable removed shows that the food burns noticeably more at the antinode locations than elsewhere, because the microwave energy is concentrated there; measuring the distance between two successive burnt spots gives half the microwave's wavelength, and since the operating frequency is printed on the oven's own panel, the wave speed can then be found directly from -- turning a household appliance into …
Worked out. A magnetron inside a microwave oven emits electromagnetic waves of frequency MHz, and the task is to find the magnetic field strength needed to make electrons move in circular paths at exactly this frequency (the magnetron's operating principle). The angular frequency is . For a charged particle moving in a circle under a magnetic field, the cyclotron angular frequency is , so the required field is . Substituting the electron's mass kg, its charge magnitude C, and the computed , gives T. Because a field of this modest size is easily produced with a permanent magnet, this calculation explains why 2450 MHz electromagnetic waves -- strongly absorbed by water molecules, and therefore ideal for heating and cooking fo …