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6390-6393
How these waves are transmitted and received is described in Chapter 15 8 4 2 Microwaves Microwaves (short-wavelength radio waves), with frequencies in the gigahertz (GHz) range, are produced by special vacuum tubes (called klystrons, magnetrons and Gunn diodes)
1
6391-6394
8 4 2 Microwaves Microwaves (short-wavelength radio waves), with frequencies in the gigahertz (GHz) range, are produced by special vacuum tubes (called klystrons, magnetrons and Gunn diodes) Due to their short wavelengths, they are suitable for the radar systems used in aircraft navigation
1
6392-6395
4 2 Microwaves Microwaves (short-wavelength radio waves), with frequencies in the gigahertz (GHz) range, are produced by special vacuum tubes (called klystrons, magnetrons and Gunn diodes) Due to their short wavelengths, they are suitable for the radar systems used in aircraft navigation Radar also provides the basis for the speed guns used to time fast balls, tennis- serves, and automobiles
1
6393-6396
2 Microwaves Microwaves (short-wavelength radio waves), with frequencies in the gigahertz (GHz) range, are produced by special vacuum tubes (called klystrons, magnetrons and Gunn diodes) Due to their short wavelengths, they are suitable for the radar systems used in aircraft navigation Radar also provides the basis for the speed guns used to time fast balls, tennis- serves, and automobiles Microwave ovens are an interesting domestic application of these waves
1
6394-6397
Due to their short wavelengths, they are suitable for the radar systems used in aircraft navigation Radar also provides the basis for the speed guns used to time fast balls, tennis- serves, and automobiles Microwave ovens are an interesting domestic application of these waves In such ovens, the frequency of the microwaves is selected to match the resonant frequency of water molecules so that energy from the waves is transferred efficiently to the kinetic energy of the molecules
1
6395-6398
Radar also provides the basis for the speed guns used to time fast balls, tennis- serves, and automobiles Microwave ovens are an interesting domestic application of these waves In such ovens, the frequency of the microwaves is selected to match the resonant frequency of water molecules so that energy from the waves is transferred efficiently to the kinetic energy of the molecules This raises the temperature of any food containing water
1
6396-6399
Microwave ovens are an interesting domestic application of these waves In such ovens, the frequency of the microwaves is selected to match the resonant frequency of water molecules so that energy from the waves is transferred efficiently to the kinetic energy of the molecules This raises the temperature of any food containing water Rationalised 2023-24 Physics 210 8
1
6397-6400
In such ovens, the frequency of the microwaves is selected to match the resonant frequency of water molecules so that energy from the waves is transferred efficiently to the kinetic energy of the molecules This raises the temperature of any food containing water Rationalised 2023-24 Physics 210 8 4
1
6398-6401
This raises the temperature of any food containing water Rationalised 2023-24 Physics 210 8 4 3 Infrared waves Infrared waves are produced by hot bodies and molecules
1
6399-6402
Rationalised 2023-24 Physics 210 8 4 3 Infrared waves Infrared waves are produced by hot bodies and molecules This band lies adjacent to the low-frequency or long-wave length end of the visible spectrum
1
6400-6403
4 3 Infrared waves Infrared waves are produced by hot bodies and molecules This band lies adjacent to the low-frequency or long-wave length end of the visible spectrum Infrared waves are sometimes referred to as heat waves
1
6401-6404
3 Infrared waves Infrared waves are produced by hot bodies and molecules This band lies adjacent to the low-frequency or long-wave length end of the visible spectrum Infrared waves are sometimes referred to as heat waves This is because water molecules present in most materials readily absorb infrared waves (many other molecules, for example, CO2, NH3, also absorb infrared waves)
1
6402-6405
This band lies adjacent to the low-frequency or long-wave length end of the visible spectrum Infrared waves are sometimes referred to as heat waves This is because water molecules present in most materials readily absorb infrared waves (many other molecules, for example, CO2, NH3, also absorb infrared waves) After absorption, their thermal motion increases, that is, they heat up and heat their surroundings
1
6403-6406
Infrared waves are sometimes referred to as heat waves This is because water molecules present in most materials readily absorb infrared waves (many other molecules, for example, CO2, NH3, also absorb infrared waves) After absorption, their thermal motion increases, that is, they heat up and heat their surroundings Infrared lamps are used in physical therapy
1
6404-6407
This is because water molecules present in most materials readily absorb infrared waves (many other molecules, for example, CO2, NH3, also absorb infrared waves) After absorption, their thermal motion increases, that is, they heat up and heat their surroundings Infrared lamps are used in physical therapy Infrared radiation also plays an important role in maintaining the earth’s warmth or average temperature through the greenhouse effect
1
6405-6408
After absorption, their thermal motion increases, that is, they heat up and heat their surroundings Infrared lamps are used in physical therapy Infrared radiation also plays an important role in maintaining the earth’s warmth or average temperature through the greenhouse effect Incoming visible light (which passes relatively easily through the atmosphere) is absorbed by the earth’s surface and re- radiated as infrared (longer wavelength) radiations
1
6406-6409
Infrared lamps are used in physical therapy Infrared radiation also plays an important role in maintaining the earth’s warmth or average temperature through the greenhouse effect Incoming visible light (which passes relatively easily through the atmosphere) is absorbed by the earth’s surface and re- radiated as infrared (longer wavelength) radiations This radiation is trapped by greenhouse gases such as carbon dioxide and water vapour
1
6407-6410
Infrared radiation also plays an important role in maintaining the earth’s warmth or average temperature through the greenhouse effect Incoming visible light (which passes relatively easily through the atmosphere) is absorbed by the earth’s surface and re- radiated as infrared (longer wavelength) radiations This radiation is trapped by greenhouse gases such as carbon dioxide and water vapour Infrared detectors are used in Earth satellites, both for military purposes and to observe growth of crops
1
6408-6411
Incoming visible light (which passes relatively easily through the atmosphere) is absorbed by the earth’s surface and re- radiated as infrared (longer wavelength) radiations This radiation is trapped by greenhouse gases such as carbon dioxide and water vapour Infrared detectors are used in Earth satellites, both for military purposes and to observe growth of crops Electronic devices (for example semiconductor light emitting diodes) also emit infrared and are widely used in the remote switches of household electronic systems such as TV sets, video recorders and hi-fi systems
1
6409-6412
This radiation is trapped by greenhouse gases such as carbon dioxide and water vapour Infrared detectors are used in Earth satellites, both for military purposes and to observe growth of crops Electronic devices (for example semiconductor light emitting diodes) also emit infrared and are widely used in the remote switches of household electronic systems such as TV sets, video recorders and hi-fi systems 8
1
6410-6413
Infrared detectors are used in Earth satellites, both for military purposes and to observe growth of crops Electronic devices (for example semiconductor light emitting diodes) also emit infrared and are widely used in the remote switches of household electronic systems such as TV sets, video recorders and hi-fi systems 8 4
1
6411-6414
Electronic devices (for example semiconductor light emitting diodes) also emit infrared and are widely used in the remote switches of household electronic systems such as TV sets, video recorders and hi-fi systems 8 4 4 Visible rays It is the most familiar form of electromagnetic waves
1
6412-6415
8 4 4 Visible rays It is the most familiar form of electromagnetic waves It is the part of the spectrum that is detected by the human eye
1
6413-6416
4 4 Visible rays It is the most familiar form of electromagnetic waves It is the part of the spectrum that is detected by the human eye It runs from about 4 × 1014 Hz to about 7 × 1014 Hz or a wavelength range of about 700 – 400 nm
1
6414-6417
4 Visible rays It is the most familiar form of electromagnetic waves It is the part of the spectrum that is detected by the human eye It runs from about 4 × 1014 Hz to about 7 × 1014 Hz or a wavelength range of about 700 – 400 nm Visible light emitted or reflected from objects around us provides us information about the world
1
6415-6418
It is the part of the spectrum that is detected by the human eye It runs from about 4 × 1014 Hz to about 7 × 1014 Hz or a wavelength range of about 700 – 400 nm Visible light emitted or reflected from objects around us provides us information about the world Our eyes are sensitive to this range of wavelengths
1
6416-6419
It runs from about 4 × 1014 Hz to about 7 × 1014 Hz or a wavelength range of about 700 – 400 nm Visible light emitted or reflected from objects around us provides us information about the world Our eyes are sensitive to this range of wavelengths Different animals are sensitive to different range of wavelengths
1
6417-6420
Visible light emitted or reflected from objects around us provides us information about the world Our eyes are sensitive to this range of wavelengths Different animals are sensitive to different range of wavelengths For example, snakes can detect infrared waves, and the ‘visible’ range of many insects extends well into the utraviolet
1
6418-6421
Our eyes are sensitive to this range of wavelengths Different animals are sensitive to different range of wavelengths For example, snakes can detect infrared waves, and the ‘visible’ range of many insects extends well into the utraviolet 8
1
6419-6422
Different animals are sensitive to different range of wavelengths For example, snakes can detect infrared waves, and the ‘visible’ range of many insects extends well into the utraviolet 8 4
1
6420-6423
For example, snakes can detect infrared waves, and the ‘visible’ range of many insects extends well into the utraviolet 8 4 5 Ultraviolet rays It covers wavelengths ranging from about 4 × 10–7 m (400 nm) down to 6 × 10–10m (0
1
6421-6424
8 4 5 Ultraviolet rays It covers wavelengths ranging from about 4 × 10–7 m (400 nm) down to 6 × 10–10m (0 6 nm)
1
6422-6425
4 5 Ultraviolet rays It covers wavelengths ranging from about 4 × 10–7 m (400 nm) down to 6 × 10–10m (0 6 nm) Ultraviolet (UV) radiation is produced by special lamps and very hot bodies
1
6423-6426
5 Ultraviolet rays It covers wavelengths ranging from about 4 × 10–7 m (400 nm) down to 6 × 10–10m (0 6 nm) Ultraviolet (UV) radiation is produced by special lamps and very hot bodies The sun is an important source of ultraviolet light
1
6424-6427
6 nm) Ultraviolet (UV) radiation is produced by special lamps and very hot bodies The sun is an important source of ultraviolet light But fortunately, most of it is absorbed in the ozone layer in the atmosphere at an altitude of about 40 – 50 km
1
6425-6428
Ultraviolet (UV) radiation is produced by special lamps and very hot bodies The sun is an important source of ultraviolet light But fortunately, most of it is absorbed in the ozone layer in the atmosphere at an altitude of about 40 – 50 km UV light in large quantities has harmful effects on humans
1
6426-6429
The sun is an important source of ultraviolet light But fortunately, most of it is absorbed in the ozone layer in the atmosphere at an altitude of about 40 – 50 km UV light in large quantities has harmful effects on humans Exposure to UV radiation induces the production of more melanin, causing tanning of the skin
1
6427-6430
But fortunately, most of it is absorbed in the ozone layer in the atmosphere at an altitude of about 40 – 50 km UV light in large quantities has harmful effects on humans Exposure to UV radiation induces the production of more melanin, causing tanning of the skin UV radiation is absorbed by ordinary glass
1
6428-6431
UV light in large quantities has harmful effects on humans Exposure to UV radiation induces the production of more melanin, causing tanning of the skin UV radiation is absorbed by ordinary glass Hence, one cannot get tanned or sunburn through glass windows
1
6429-6432
Exposure to UV radiation induces the production of more melanin, causing tanning of the skin UV radiation is absorbed by ordinary glass Hence, one cannot get tanned or sunburn through glass windows Welders wear special glass goggles or face masks with glass windows to protect their eyes from large amount of UV produced by welding arcs
1
6430-6433
UV radiation is absorbed by ordinary glass Hence, one cannot get tanned or sunburn through glass windows Welders wear special glass goggles or face masks with glass windows to protect their eyes from large amount of UV produced by welding arcs Due to its shorter wavelengths, UV radiations can be focussed into very narrow beams for high precision applications such as LASIK (Laser- assisted in situ keratomileusis) eye surgery
1
6431-6434
Hence, one cannot get tanned or sunburn through glass windows Welders wear special glass goggles or face masks with glass windows to protect their eyes from large amount of UV produced by welding arcs Due to its shorter wavelengths, UV radiations can be focussed into very narrow beams for high precision applications such as LASIK (Laser- assisted in situ keratomileusis) eye surgery UV lamps are used to kill germs in water purifiers
1
6432-6435
Welders wear special glass goggles or face masks with glass windows to protect their eyes from large amount of UV produced by welding arcs Due to its shorter wavelengths, UV radiations can be focussed into very narrow beams for high precision applications such as LASIK (Laser- assisted in situ keratomileusis) eye surgery UV lamps are used to kill germs in water purifiers Ozone layer in the atmosphere plays a protective role, and hence its depletion by chlorofluorocarbons (CFCs) gas (such as freon) is a matter of international concern
1
6433-6436
Due to its shorter wavelengths, UV radiations can be focussed into very narrow beams for high precision applications such as LASIK (Laser- assisted in situ keratomileusis) eye surgery UV lamps are used to kill germs in water purifiers Ozone layer in the atmosphere plays a protective role, and hence its depletion by chlorofluorocarbons (CFCs) gas (such as freon) is a matter of international concern Rationalised 2023-24 211 Electromagnetic Waves 8
1
6434-6437
UV lamps are used to kill germs in water purifiers Ozone layer in the atmosphere plays a protective role, and hence its depletion by chlorofluorocarbons (CFCs) gas (such as freon) is a matter of international concern Rationalised 2023-24 211 Electromagnetic Waves 8 4
1
6435-6438
Ozone layer in the atmosphere plays a protective role, and hence its depletion by chlorofluorocarbons (CFCs) gas (such as freon) is a matter of international concern Rationalised 2023-24 211 Electromagnetic Waves 8 4 6 X-rays Beyond the UV region of the electromagnetic spectrum lies the X-ray region
1
6436-6439
Rationalised 2023-24 211 Electromagnetic Waves 8 4 6 X-rays Beyond the UV region of the electromagnetic spectrum lies the X-ray region We are familiar with X-rays because of its medical applications
1
6437-6440
4 6 X-rays Beyond the UV region of the electromagnetic spectrum lies the X-ray region We are familiar with X-rays because of its medical applications It covers wavelengths from about 10–8 m (10 nm) down to 10–13 m (10–4 nm)
1
6438-6441
6 X-rays Beyond the UV region of the electromagnetic spectrum lies the X-ray region We are familiar with X-rays because of its medical applications It covers wavelengths from about 10–8 m (10 nm) down to 10–13 m (10–4 nm) One common way to generate X-rays is to bombard a metal target by high energy electrons
1
6439-6442
We are familiar with X-rays because of its medical applications It covers wavelengths from about 10–8 m (10 nm) down to 10–13 m (10–4 nm) One common way to generate X-rays is to bombard a metal target by high energy electrons X-rays are used as a diagnostic tool in medicine and as a treatment for certain forms of cancer
1
6440-6443
It covers wavelengths from about 10–8 m (10 nm) down to 10–13 m (10–4 nm) One common way to generate X-rays is to bombard a metal target by high energy electrons X-rays are used as a diagnostic tool in medicine and as a treatment for certain forms of cancer Because X-rays damage or destroy living tissues and organisms, care must be taken to avoid unnecessary or over exposure
1
6441-6444
One common way to generate X-rays is to bombard a metal target by high energy electrons X-rays are used as a diagnostic tool in medicine and as a treatment for certain forms of cancer Because X-rays damage or destroy living tissues and organisms, care must be taken to avoid unnecessary or over exposure 8
1
6442-6445
X-rays are used as a diagnostic tool in medicine and as a treatment for certain forms of cancer Because X-rays damage or destroy living tissues and organisms, care must be taken to avoid unnecessary or over exposure 8 4
1
6443-6446
Because X-rays damage or destroy living tissues and organisms, care must be taken to avoid unnecessary or over exposure 8 4 7 Gamma rays They lie in the upper frequency range of the electromagnetic spectrum and have wavelengths of from about 10–10m to less than 10–14m
1
6444-6447
8 4 7 Gamma rays They lie in the upper frequency range of the electromagnetic spectrum and have wavelengths of from about 10–10m to less than 10–14m This high frequency radiation is produced in nuclear reactions and also emitted by radioactive nuclei
1
6445-6448
4 7 Gamma rays They lie in the upper frequency range of the electromagnetic spectrum and have wavelengths of from about 10–10m to less than 10–14m This high frequency radiation is produced in nuclear reactions and also emitted by radioactive nuclei They are used in medicine to destroy cancer cells
1
6446-6449
7 Gamma rays They lie in the upper frequency range of the electromagnetic spectrum and have wavelengths of from about 10–10m to less than 10–14m This high frequency radiation is produced in nuclear reactions and also emitted by radioactive nuclei They are used in medicine to destroy cancer cells Table 8
1
6447-6450
This high frequency radiation is produced in nuclear reactions and also emitted by radioactive nuclei They are used in medicine to destroy cancer cells Table 8 1 summarises different types of electromagnetic waves, their production and detections
1
6448-6451
They are used in medicine to destroy cancer cells Table 8 1 summarises different types of electromagnetic waves, their production and detections As mentioned earlier, the demarcation between different regions is not sharp and there are overlaps
1
6449-6452
Table 8 1 summarises different types of electromagnetic waves, their production and detections As mentioned earlier, the demarcation between different regions is not sharp and there are overlaps TABLE 8
1
6450-6453
1 summarises different types of electromagnetic waves, their production and detections As mentioned earlier, the demarcation between different regions is not sharp and there are overlaps TABLE 8 1 DIFFERENT TYPES OF ELECTROMAGNETIC WAVES Type Wavelength range Production Detection Radio > 0
1
6451-6454
As mentioned earlier, the demarcation between different regions is not sharp and there are overlaps TABLE 8 1 DIFFERENT TYPES OF ELECTROMAGNETIC WAVES Type Wavelength range Production Detection Radio > 0 1 m Rapid acceleration and Receiver’s aerials decelerations of electrons in aerials Microwave 0
1
6452-6455
TABLE 8 1 DIFFERENT TYPES OF ELECTROMAGNETIC WAVES Type Wavelength range Production Detection Radio > 0 1 m Rapid acceleration and Receiver’s aerials decelerations of electrons in aerials Microwave 0 1m to 1 mm Klystron valve or Point contact diodes magnetron valve Infra-red 1mm to 700 nm Vibration of atoms Thermopiles and molecules Bolometer, Infrared photographic film Light 700 nm to 400 nm Electrons in atoms emit The eye light when they move from Photocells one energy level to a Photographic film lower energy level Ultraviolet 400 nm to 1nm Inner shell electrons in Photocells atoms moving from one Photographic film energy level to a lower level X-rays 1nm to 10–3 nm X-ray tubes or inner shell Photographic film electrons Geiger tubes Ionisation chamber Gamma rays <10–3 nm Radioactive decay of the -do- nucleus Rationalised 2023-24 Physics 212 SUMMARY 1
1
6453-6456
1 DIFFERENT TYPES OF ELECTROMAGNETIC WAVES Type Wavelength range Production Detection Radio > 0 1 m Rapid acceleration and Receiver’s aerials decelerations of electrons in aerials Microwave 0 1m to 1 mm Klystron valve or Point contact diodes magnetron valve Infra-red 1mm to 700 nm Vibration of atoms Thermopiles and molecules Bolometer, Infrared photographic film Light 700 nm to 400 nm Electrons in atoms emit The eye light when they move from Photocells one energy level to a Photographic film lower energy level Ultraviolet 400 nm to 1nm Inner shell electrons in Photocells atoms moving from one Photographic film energy level to a lower level X-rays 1nm to 10–3 nm X-ray tubes or inner shell Photographic film electrons Geiger tubes Ionisation chamber Gamma rays <10–3 nm Radioactive decay of the -do- nucleus Rationalised 2023-24 Physics 212 SUMMARY 1 Maxwell found an inconsistency in the Ampere’s law and suggested the existence of an additional current, called displacement current, to remove this inconsistency
1
6454-6457
1 m Rapid acceleration and Receiver’s aerials decelerations of electrons in aerials Microwave 0 1m to 1 mm Klystron valve or Point contact diodes magnetron valve Infra-red 1mm to 700 nm Vibration of atoms Thermopiles and molecules Bolometer, Infrared photographic film Light 700 nm to 400 nm Electrons in atoms emit The eye light when they move from Photocells one energy level to a Photographic film lower energy level Ultraviolet 400 nm to 1nm Inner shell electrons in Photocells atoms moving from one Photographic film energy level to a lower level X-rays 1nm to 10–3 nm X-ray tubes or inner shell Photographic film electrons Geiger tubes Ionisation chamber Gamma rays <10–3 nm Radioactive decay of the -do- nucleus Rationalised 2023-24 Physics 212 SUMMARY 1 Maxwell found an inconsistency in the Ampere’s law and suggested the existence of an additional current, called displacement current, to remove this inconsistency This displacement current is due to time-varying electric field and is given by 0 d d di Φt ε Ε = and acts as a source of magnetic field in exactly the same way as conduction current
1
6455-6458
1m to 1 mm Klystron valve or Point contact diodes magnetron valve Infra-red 1mm to 700 nm Vibration of atoms Thermopiles and molecules Bolometer, Infrared photographic film Light 700 nm to 400 nm Electrons in atoms emit The eye light when they move from Photocells one energy level to a Photographic film lower energy level Ultraviolet 400 nm to 1nm Inner shell electrons in Photocells atoms moving from one Photographic film energy level to a lower level X-rays 1nm to 10–3 nm X-ray tubes or inner shell Photographic film electrons Geiger tubes Ionisation chamber Gamma rays <10–3 nm Radioactive decay of the -do- nucleus Rationalised 2023-24 Physics 212 SUMMARY 1 Maxwell found an inconsistency in the Ampere’s law and suggested the existence of an additional current, called displacement current, to remove this inconsistency This displacement current is due to time-varying electric field and is given by 0 d d di Φt ε Ε = and acts as a source of magnetic field in exactly the same way as conduction current 2
1
6456-6459
Maxwell found an inconsistency in the Ampere’s law and suggested the existence of an additional current, called displacement current, to remove this inconsistency This displacement current is due to time-varying electric field and is given by 0 d d di Φt ε Ε = and acts as a source of magnetic field in exactly the same way as conduction current 2 An accelerating charge produces electromagnetic waves
1
6457-6460
This displacement current is due to time-varying electric field and is given by 0 d d di Φt ε Ε = and acts as a source of magnetic field in exactly the same way as conduction current 2 An accelerating charge produces electromagnetic waves An electric charge oscillating harmonically with frequency n, produces electromagnetic waves of the same frequency n
1
6458-6461
2 An accelerating charge produces electromagnetic waves An electric charge oscillating harmonically with frequency n, produces electromagnetic waves of the same frequency n An electric dipole is a basic source of electromagnetic waves
1
6459-6462
An accelerating charge produces electromagnetic waves An electric charge oscillating harmonically with frequency n, produces electromagnetic waves of the same frequency n An electric dipole is a basic source of electromagnetic waves 3
1
6460-6463
An electric charge oscillating harmonically with frequency n, produces electromagnetic waves of the same frequency n An electric dipole is a basic source of electromagnetic waves 3 Electromagnetic waves with wavelength of the order of a few metres were first produced and detected in the laboratory by Hertz in 1887
1
6461-6464
An electric dipole is a basic source of electromagnetic waves 3 Electromagnetic waves with wavelength of the order of a few metres were first produced and detected in the laboratory by Hertz in 1887 He thus verified a basic prediction of Maxwell’s equations
1
6462-6465
3 Electromagnetic waves with wavelength of the order of a few metres were first produced and detected in the laboratory by Hertz in 1887 He thus verified a basic prediction of Maxwell’s equations 4
1
6463-6466
Electromagnetic waves with wavelength of the order of a few metres were first produced and detected in the laboratory by Hertz in 1887 He thus verified a basic prediction of Maxwell’s equations 4 Electric and magnetic fields oscillate sinusoidally in space and time in an electromagnetic wave
1
6464-6467
He thus verified a basic prediction of Maxwell’s equations 4 Electric and magnetic fields oscillate sinusoidally in space and time in an electromagnetic wave The oscillating electric and magnetic fields, E and B are perpendicular to each other, and to the direction of propagation of the electromagnetic wave
1
6465-6468
4 Electric and magnetic fields oscillate sinusoidally in space and time in an electromagnetic wave The oscillating electric and magnetic fields, E and B are perpendicular to each other, and to the direction of propagation of the electromagnetic wave For a wave of frequency n, wavelength l, propagating along z-direction, we have E = Ex (t) = E0 sin (kz – w t ) = E0 sin 2 2 0 π π z t E z Tt λ ν λ −       = −       sin B = By(t) = B0 sin (kz – w t) = B z t B z Tt 0 0 2 2 sin sin π π λ ν λ −       = −       They are related by E0/B0 = c
1
6466-6469
Electric and magnetic fields oscillate sinusoidally in space and time in an electromagnetic wave The oscillating electric and magnetic fields, E and B are perpendicular to each other, and to the direction of propagation of the electromagnetic wave For a wave of frequency n, wavelength l, propagating along z-direction, we have E = Ex (t) = E0 sin (kz – w t ) = E0 sin 2 2 0 π π z t E z Tt λ ν λ −       = −       sin B = By(t) = B0 sin (kz – w t) = B z t B z Tt 0 0 2 2 sin sin π π λ ν λ −       = −       They are related by E0/B0 = c 5
1
6467-6470
The oscillating electric and magnetic fields, E and B are perpendicular to each other, and to the direction of propagation of the electromagnetic wave For a wave of frequency n, wavelength l, propagating along z-direction, we have E = Ex (t) = E0 sin (kz – w t ) = E0 sin 2 2 0 π π z t E z Tt λ ν λ −       = −       sin B = By(t) = B0 sin (kz – w t) = B z t B z Tt 0 0 2 2 sin sin π π λ ν λ −       = −       They are related by E0/B0 = c 5 The speed c of electromagnetic wave in vacuum is related to m0 and e0 (the free space permeability and permittivity constants) as follows: 0 0 1/ c µ ε =
1
6468-6471
For a wave of frequency n, wavelength l, propagating along z-direction, we have E = Ex (t) = E0 sin (kz – w t ) = E0 sin 2 2 0 π π z t E z Tt λ ν λ −       = −       sin B = By(t) = B0 sin (kz – w t) = B z t B z Tt 0 0 2 2 sin sin π π λ ν λ −       = −       They are related by E0/B0 = c 5 The speed c of electromagnetic wave in vacuum is related to m0 and e0 (the free space permeability and permittivity constants) as follows: 0 0 1/ c µ ε = The value of c equals the speed of light obtained from optical measurements
1
6469-6472
5 The speed c of electromagnetic wave in vacuum is related to m0 and e0 (the free space permeability and permittivity constants) as follows: 0 0 1/ c µ ε = The value of c equals the speed of light obtained from optical measurements Light is an electromagnetic wave; c is, therefore, also the speed of light
1
6470-6473
The speed c of electromagnetic wave in vacuum is related to m0 and e0 (the free space permeability and permittivity constants) as follows: 0 0 1/ c µ ε = The value of c equals the speed of light obtained from optical measurements Light is an electromagnetic wave; c is, therefore, also the speed of light Electromagnetic waves other than light also have the same velocity c in free space
1
6471-6474
The value of c equals the speed of light obtained from optical measurements Light is an electromagnetic wave; c is, therefore, also the speed of light Electromagnetic waves other than light also have the same velocity c in free space The speed of light, or of electromagnetic waves in a material medium is given by 1/ v µ ε = where m is the permeability of the medium and e its permittivity
1
6472-6475
Light is an electromagnetic wave; c is, therefore, also the speed of light Electromagnetic waves other than light also have the same velocity c in free space The speed of light, or of electromagnetic waves in a material medium is given by 1/ v µ ε = where m is the permeability of the medium and e its permittivity 6
1
6473-6476
Electromagnetic waves other than light also have the same velocity c in free space The speed of light, or of electromagnetic waves in a material medium is given by 1/ v µ ε = where m is the permeability of the medium and e its permittivity 6 The spectrum of electromagnetic waves stretches, in principle, over an infinite range of wavelengths
1
6474-6477
The speed of light, or of electromagnetic waves in a material medium is given by 1/ v µ ε = where m is the permeability of the medium and e its permittivity 6 The spectrum of electromagnetic waves stretches, in principle, over an infinite range of wavelengths Different regions are known by different names; g-rays, X-rays, ultraviolet rays, visible rays, infrared rays, microwaves and radio waves in order of increasing wavelength from 10–2 Å or 10–12 m to 106 m
1
6475-6478
6 The spectrum of electromagnetic waves stretches, in principle, over an infinite range of wavelengths Different regions are known by different names; g-rays, X-rays, ultraviolet rays, visible rays, infrared rays, microwaves and radio waves in order of increasing wavelength from 10–2 Å or 10–12 m to 106 m They interact with matter via their electric and magnetic fields which set in oscillation charges present in all matter
1
6476-6479
The spectrum of electromagnetic waves stretches, in principle, over an infinite range of wavelengths Different regions are known by different names; g-rays, X-rays, ultraviolet rays, visible rays, infrared rays, microwaves and radio waves in order of increasing wavelength from 10–2 Å or 10–12 m to 106 m They interact with matter via their electric and magnetic fields which set in oscillation charges present in all matter The detailed interaction and so the mechanism of absorption, scattering, etc
1
6477-6480
Different regions are known by different names; g-rays, X-rays, ultraviolet rays, visible rays, infrared rays, microwaves and radio waves in order of increasing wavelength from 10–2 Å or 10–12 m to 106 m They interact with matter via their electric and magnetic fields which set in oscillation charges present in all matter The detailed interaction and so the mechanism of absorption, scattering, etc , depend on the wavelength of the electromagnetic wave, and the nature of the atoms and molecules in the medium
1
6478-6481
They interact with matter via their electric and magnetic fields which set in oscillation charges present in all matter The detailed interaction and so the mechanism of absorption, scattering, etc , depend on the wavelength of the electromagnetic wave, and the nature of the atoms and molecules in the medium Rationalised 2023-24 213 Electromagnetic Waves POINTS TO PONDER 1
1
6479-6482
The detailed interaction and so the mechanism of absorption, scattering, etc , depend on the wavelength of the electromagnetic wave, and the nature of the atoms and molecules in the medium Rationalised 2023-24 213 Electromagnetic Waves POINTS TO PONDER 1 The basic difference between various types of electromagnetic waves lies in their wavelengths or frequencies since all of them travel through vacuum with the same speed
1
6480-6483
, depend on the wavelength of the electromagnetic wave, and the nature of the atoms and molecules in the medium Rationalised 2023-24 213 Electromagnetic Waves POINTS TO PONDER 1 The basic difference between various types of electromagnetic waves lies in their wavelengths or frequencies since all of them travel through vacuum with the same speed Consequently, the waves differ considerably in their mode of interaction with matter
1
6481-6484
Rationalised 2023-24 213 Electromagnetic Waves POINTS TO PONDER 1 The basic difference between various types of electromagnetic waves lies in their wavelengths or frequencies since all of them travel through vacuum with the same speed Consequently, the waves differ considerably in their mode of interaction with matter 2
1
6482-6485
The basic difference between various types of electromagnetic waves lies in their wavelengths or frequencies since all of them travel through vacuum with the same speed Consequently, the waves differ considerably in their mode of interaction with matter 2 Accelerated charged particles radiate electromagnetic waves
1
6483-6486
Consequently, the waves differ considerably in their mode of interaction with matter 2 Accelerated charged particles radiate electromagnetic waves The wavelength of the electromagnetic wave is often correlated with the characteristic size of the system that radiates
1
6484-6487
2 Accelerated charged particles radiate electromagnetic waves The wavelength of the electromagnetic wave is often correlated with the characteristic size of the system that radiates Thus, gamma radiation, having wavelength of 10–14 m to 10–15 m, typically originate from an atomic nucleus
1
6485-6488
Accelerated charged particles radiate electromagnetic waves The wavelength of the electromagnetic wave is often correlated with the characteristic size of the system that radiates Thus, gamma radiation, having wavelength of 10–14 m to 10–15 m, typically originate from an atomic nucleus X-rays are emitted from heavy atoms
1
6486-6489
The wavelength of the electromagnetic wave is often correlated with the characteristic size of the system that radiates Thus, gamma radiation, having wavelength of 10–14 m to 10–15 m, typically originate from an atomic nucleus X-rays are emitted from heavy atoms Radio waves are produced by accelerating electrons in a circuit
1
6487-6490
Thus, gamma radiation, having wavelength of 10–14 m to 10–15 m, typically originate from an atomic nucleus X-rays are emitted from heavy atoms Radio waves are produced by accelerating electrons in a circuit A transmitting antenna can most efficiently radiate waves having a wavelength of about the same size as the antenna
1
6488-6491
X-rays are emitted from heavy atoms Radio waves are produced by accelerating electrons in a circuit A transmitting antenna can most efficiently radiate waves having a wavelength of about the same size as the antenna Visible radiation emitted by atoms is, however, much longer in wavelength than atomic size
1
6489-6492
Radio waves are produced by accelerating electrons in a circuit A transmitting antenna can most efficiently radiate waves having a wavelength of about the same size as the antenna Visible radiation emitted by atoms is, however, much longer in wavelength than atomic size 3