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Understanding Doppler effect: Source is moving observer is at rest | Physics | Waves| English |
What is Doppler effect? Obtain an expression for the apparent frequency of sound heard when the source is in motion with respect to an observer at rest?
The Doppler effect is a phenomenon observed in waves, such as sound waves or light waves, when there is relative motion between the source of the waves and an observer. It describes the perceived change in frequency or wavelength of the waves due to this motion.
When a source of sound is moving towards an observer, the waves it produces are compressed, resulting in a higher perceived frequency. Conversely, when the source is moving away from the observer, the waves are stretched, leading to a lower perceived frequency. This change in frequency is what gives rise to the Doppler effect.
To obtain an expression for the apparent frequency of sound heard when the source is in motion with respect to an observer at rest, we can consider the following variables:
• f: The actual frequency of the source (in Hz).
• vs: The velocity of the source towards or away from the observer (in m/s).
• v: The velocity of sound in the medium (in m/s).
• f’: The apparent frequency of the sound heard by the observer (in Hz).
For a source moving towards an observer, the apparent frequency can be expressed as:
f’ = (v + vs) / v * f
And for a source moving away from an observer, the apparent frequency is given by:
f’ = (v – vs) / v * f
The above expressions assume that the observer is stationary and that the speed of the source is much less than the speed of sound, so relativistic effects can be ignored.
• Doppler Effect
• Sound Waves
• Frequency Shift
• Doppler Effect Explained
• Physics of Sound
• Acoustics
• Wave Phenomena
• Doppler Effect in Sound
• Apparent Frequency
• Observers and Motion
• Sound Wave Propagation
• Speed of Sound
• Source and Observer Movement
• Doppler Effect Examples
Wave Frequency Change
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