A) 286-SHz
B) 481.2Hz
C) 7333Hz
D) 644.8 Hz
Correct Answer: C
Solution :
The apparent change in the frequency of the source due to ralative motion between source and observer is known as Dopplers effect. The perceived frequency (n) when listener is static and source is moving away is given by \[{{k}_{2}}\] where n is frequency of source, v is velocity of sound and \[{{v}_{5}}\] is velocity of source. Putting \[{{k}_{2}}{{F}_{1}}+{{k}_{1}}{{F}_{2}}=-{{k}_{1}}{{k}_{2}}({{y}_{1}}+{{y}_{2}})=-{{k}_{1}}{{k}_{2}}y\] \[{{F}_{1}}={{F}_{2}}=F(say)\] \[({{k}_{1}}+{{k}_{2}})F=-{{k}_{1}}{{k}_{2}}y\] In the limit when speed of source and observer are much lesser than that of sound \[\Rightarrow \] the change in frequency becomes independent of the fact whether the source is moved or the detector.
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