A) \[{{v}_{o}}=\frac{v}{2}\]
B) \[{{v}_{o}}=3v\]
C) \[{{v}_{o}}=2v\]
D) \[{{v}_{o}}=v\]
Correct Answer: D
Solution :
From Doppler?s effect, the perceived frequency is given by \[f'=f\left( \frac{v\pm {{v}_{o}}}{v\pm {{v}_{s}}} \right)\] where f is original frequency, \[{{v}_{o}}\] the velocity of observer, \[{{v}_{s}}\] of source and v of sound. Given, \[{{v}_{s}}=0,\,\,\,\,{{f}_{1}}=f,\,\,\,\,{{f}_{2}}=2f\] \[\therefore \] s\[2f=f\left( \frac{v+{{v}_{o}}}{v+0} \right)\] \[\Rightarrow \] \[{{v}_{o}}=v\]
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