What is the expression of the droopler shift
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vR = cΔf/(fS+ fO) Summary. The derivation of the Doppler Effect velocity equations starts with the general waveform and frequency equations. .
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The Apparent change in the frequency of sound when the source, the observer and the medium are in a relative motion is called Doppler Effect.
Let S be source of sound moving with velocity vs towards stationary listener O.
Distance travelled in time time period, T=vsT
Therefore apparent wavelength, λ′=λ−vs.T
If frequency is ν then,
λ=λ′−vsT
λ=λ′−νvs=νv−vs; v=νλ
If apparent frequency heard by listener is ν′
ν′=λ′v=v−vsνv
Thus apparent frequency is greater than the actual frequency as source moves towards listener.
Similarly if source moves away from listener.
ν′=λ′v=v+vsνv
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