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With reference to the Doppler Effect, write down an expression that relates thesound frequency fo heard by a stationary observer, when a sound source movingtowards the observer at speed vs emits a frequency fs. Also write down an expressionfor the sound frequency fo heard by an observer that is moving towards a stationarysound source at a speed vo

Question

With reference to the Doppler Effect, write down an expression that relates thesound frequency fo heard by a stationary observer, when a sound source movingtowards the observer at speed vs emits a frequency fs. Also write down an expressionfor the sound frequency fo heard by an observer that is moving towards a stationarysound source at a speed vo

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Solution

The Doppler Effect describes the change in frequency or wavelength of a wave in relation to an observer who is moving relative to the wave source.

  1. When the source of the sound is moving towards the stationary observer:

The frequency fo heard by the observer is given by the formula:

fo = fs * (v + vo) / v

where:

  • fo is the observed frequency,
  • fs is the source frequency,
  • v is the speed of sound in the medium, and
  • vo is the speed of the observer relative to the medium (0 in this case because the observer is stationary),
  • vs is the speed of the source relative to the medium.

So, the formula simplifies to:

fo = fs * (v / (v - vs))

  1. When the observer is moving towards the stationary source of the sound:

The frequency fo heard by the observer is given by the formula:

fo = fs * (v + vo) / v

where:

  • fo is the observed frequency,
  • fs is the source frequency,
  • v is the speed of sound in the medium, and
  • vo is the speed of the observer relative to the medium,
  • vs is the speed of the source relative to the medium (0 in this case because the source is stationary).

So, the formula simplifies to:

fo = fs * ((v + vo) / v)

This problem has been solved

Similar Questions

When a source of sound and an observe are in relative motion, the pitch of sound heard by the observer is different from the original pitch delivered by the source. This phenomenon is called Doppler effect.If source of sound is stationery and observer is moving towards the source with a velocity  v0 then the apparent frequency heard by the observer is given by  v′  =  (c + v0c)v, where  v is the original frequency of source. Similarly, if observer is at rest and source is moving towards the observer with a velocity  vs the apparent frequency heard by the observer is given by  v′  =  (cc − vs)vIf the direction of motion of observer or source is changed, the sign of velocity changes (i.e., ‘+ve’ sign changes into ‘-ve’ sign and vice-versa). (Where C = speed of sound in air = 340 m/s)An observer moves towards a stationary source of sound producing a pitch of 600 Hz with a velocity 60 ms-1. What is the apparent frequency heard by the observer if velocity of sound is 340 ms–1?

The Doppler effect describes the change in observed frequency due to:Select one:a.The motion of the mediumb.The relative motion of the source and the listenerc.The motion of the source onlyd.The motion of the listener only

The Doppler Effect is the change in the observed frequency of a wave because of the motion of the source or the observer toward or away from the other.9ee499dec4bce05bf3f17397de3a6603.webm94 KB True False

Fill in the blanks. Choose from the following words, some may be used more than once, others not at all: Doppler, shift, higher, frequency, lower, relative, absolute, reflections, refractions, blood, water, ultrasound, infrasound, movement If a sound source is moving relative to an observer, the sound appears to undergo a change in . If the source is approaching an observer then they will perceive the sound to have a frequency than when it was emitted at the source. The opposite is also true, with a sound from a receding source perceived to be in frequency. This phenomenon of apparent change is called the effect. The change in frequency itself is called the Doppler . The magnitude of the Doppler shift depends on the speed of the source towards or away from the observer. The Doppler effect also applies to of sound off a moving interface. The Doppler effect can be used with to detect and measure the of anatomical structures within the body. For example, the rate of flow through arteries and veins, or through the heart can be measured. The ultrasound beam is reflected off cellular components in the blood, and the observed shift is used to determine the rate of blood flow along the line of sight.

Describe the Doppler Effect.

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