A) \[{{v}_{0}}=\frac{v}{2}\]
B) \[{{v}_{0}}=3v\]
C) \[{{v}_{0}}=2v\]
D) \[{{v}_{0}}=v\]
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, \[{{v}_{s}}=0,{{f}_{1}}=f,{{f}_{2}}=2f\] \[\therefore \] \[2f=f\left( \frac{v+{{v}_{o}}}{v+0} \right)\] \[\Rightarrow \] \[{{v}_{o}}=v\]
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