A) \[\frac{f(c-v)}{c+v}\]
B) \[\frac{f(c+v)}{c-v}\]
C) \[\frac{f(c+2v)}{c+v}\]
D) \[\frac{f(c-v)}{c-2v}\]
Correct Answer: C
Solution :
Key Idea: The frequency perceived by the observer depends upon the relative motion between source and observer. In our case both source and observer are moving, so perceived frequency \[f=\frac{f(c-{{v}_{o}})}{(c-{{v}_{s}})}\] where \[{{v}_{o}}\] is the velocity of observer, \[{{v}_{s}}\], is the velocity of source, and c is velocity of sound. Given, \[{{v}_{o}}=-2v,\,\,\,{{v}_{s}}=-v\] \[\therefore \] \[f=\frac{f(c+2v)}{(c+v)}\]
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