Doppler Effect: A Moving Source
What happens when the source of the waves moves toward you, a stationary observer? Again, you encounter more waves per unit time than you did before so the frequency is shifted up. What has changed, in effect, for the waves?
- their speed
- their wavelength
This time the shift occurs because the wavelength has been lowered by the movement of the source.
The effective wavelength is l
' |
= |
v
| |
f
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|
-/+ |
us
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f
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|
= |
v -/+ us
| |
f
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|
Use the first sign (-) when the source moves toward the observer, and the second sign (+) when it moves away.
The detected frequency is:
f ' |
= |
v
| |
l '
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= f |
(
|
v
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v -/+ us
|
|
)
|