Doppler Effect |
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When a vibrating
source of waves is approaching an observer, the frequency
observed is higher than the frequency emitted by the source.
When the source is receding, the observed frequency is lower
than that emitted. This is known as the Doppler effect, or
Doppler’s principle, and is named after an Austrian
physicist who lived in the first half of the 19th century.
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When
a whistling locomotive (or any other sound source) approaches
a stationery observer (Fig.1), more density concentrations
reach his ear than when both the sound source and the observer
are stationary.
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As
the pitch depends on the frequency (number of vibrations per
second), the sound from the approaching locomotive’s
whistle has a higher pitch than the sound coming from the
same whistle when the locomotive is stationary in relation
to the observer.
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When
the locomotive is receding, its whistle sounds with a lower
note. At the instant when the locomotive passes the observer,
the note of the whistle is heard to change to a lower pitch.
The same effect is observed when we are passed by a fast-moving
hooting car in the street, or when the observer is moving
fast in relation to a stationary sound source. E.g., a motor
cyclist approaching a siren (Fig.2).
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The
Doppler effect is widely used in astronomy for measuring the
velocity at which distant stars or nebulae are approaching
or receding. These motions produce a shift in the position
of lines in their spectra.
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A
particular spectrum line corresponds to a certain definite
light wavelength. If the star emitting the light is moving
away from us, its light rays have a longer wavelength (lower
frequency) by virtue of the Doppler principle, and this is
manifested in a general shift of the spectrum lines towards
the red end of the spectrum. This is known as the red shift.
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In
the spectrum of a star moving towards us, the characteristic
lines would show a blue shift, i.e., they would be displaced
towards the blue end of the spectrum, corresponding to shorter
wavelengths and higher frequencies. These phenomena are indicated
in Fig.3
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A
Remarkable thing about the spectra of the spiral nebulae (the
galaxies of stars far out in space beyond our own milky way
system) is that they all display the red shift and must therefore
on the basis of Doppler’s principle all be moving away
from us.
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The
theory of the expanding universe is based on this phenomenon.
However, this interpretation of the red shift is disputed
by some authorities.
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This
is one example by which Doppler Effect can be understood very
easily. An ambulance Siren go by recently. Remember how the
siren's pitch changed as the vehicle raced towards, then away
from you. First the pitch became higher, then lower. Originally
discovered by the Austrian mathematician and physicist, Christian
Doppler (1803-53), this change in pitch results from a shift
in the frequency of the sound waves, as illustrated in the
following picture.
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As
the ambulance approaches, the sound waves from its siren are
compressed towards the observer. The intervals between waves
diminish, which translates into an increase in frequency or
pitch. As the ambulance recedes, the sound waves are stretched
relative to the observer, causing the siren's pitch to decrease.
By the change in pitch of the siren, you can determine if
the ambulance is coming nearer or speeding away. If you could
measure the rate of change of pitch, you could also estimate
the ambulance's speed.
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By
analogy, the electromagnetic radiation emitted by a moving
object also exhibits the Doppler effect. The radiation emitted
by an object moving toward an observer is squeezed; its frequency
appears to increase and is therefore said to be blueshifted.
In contrast, the radiation emitted by an object moving away
is stretched or redshifted. As in the ambulance analogy, blueshifts
and redshifts exhibited by stars, galaxies and gas clouds
also indicate their motions with respect to the observer.
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