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Astronomy Principles and Practice Fourth Edition.pdf

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20 The nature of the observables<br />

Figure 4.1. The spectrum of electromagnetic radiation.<br />

Thus, any radiation has a strength which can be measured. Quantitative observations of this<br />

property can give us information about the source or about the medium through which the radiation<br />

has travelled after leaving the source.<br />

Experiments in the laboratory have shown that all electromagnetic radiations have the same type<br />

of wave nature. When any radiation passes through a medium, its velocity is reduced by a certain<br />

fraction <strong>and</strong> the wavelength as measured within the medium also reduces by the same fraction. If v is<br />

the measured velocity <strong>and</strong> λ the measured wavelength, their relationship may be written as<br />

v = νλ (4.1)<br />

where ν is a constant of the particular radiation <strong>and</strong> is known as its frequency.<br />

Thus, the electromagnetic spectrum covers an extremely wide range of frequencies. According<br />

to the value of the frequency of the radiation, it is convenient to classify it under broad spectral zones,<br />

these covering γ -rays, x-rays, ultraviolet light, visible light, infrared radiation, microwaves <strong>and</strong> radio<br />

waves. The spectrum of electromagnetic radiation is illustrated in figure 4.1.<br />

The velocity of any electromagnetic disturbance in free space (vacuum) is the same for radiations<br />

of all frequencies. In free space, the fundamental parameter frequency, ν, is related to the wavelength,<br />

λ c , of the radiation <strong>and</strong> its velocity, c, by the expression:<br />

c = νλ c . (4.2)<br />

The velocity of electromagnetic radiation in free space has been measured in the laboratory over a wide<br />

range of frequencies <strong>and</strong>, in all cases, the result is close to c = 3 × 10 8 ms −1 .<br />

Wavelengths of electromagnetic radiation range from 10 −14 mforγ -rays to thous<strong>and</strong>s of metres<br />

in the radio region. At the centre of the visual spectrum, the wavelength is close to 5 × 10 −4 mm or<br />

500 nm. In the optical region, the wavelength is frequently expressed in Ångström units (Å) where<br />

1 Å = 10 −7 mm. Thus, the centre of the visual spectrum is close to 5000 Å.<br />

If the strength of any radiation can be measured in different zones of the spectrum, much<br />

information may be gleaned about the nature of the source. In fact, it may not be necessary for<br />

measurements to be made over very wide spectrum ranges for the observations to be extremely<br />

informative. For example, as we shall see later, measurements of stellar radiation across the visual<br />

part of the spectrum can provide accurate values for the temperatures of stars.<br />

Partly for historic reasons, experimenters working in different spectral zones tend to use different<br />

terms to specify the exact positions within the spectrum. In the optical region the spectral features<br />

are invariably described in terms of wavelength; for radio astronomers, selected parts of the spectrum<br />

are normally identified by using frequency, usually of the order of several hundred MHz. By using<br />

equation (4.1), it is a simple procedure to convert from wavelength to frequency <strong>and</strong> vice versa.

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