A) 300 m/s
B) 336.7 m/s
C) 360.2 m/s
D) 270 m/s
E) 390 m/s
Correct Answer: B
Solution :
The velocity (v) is given by \[v=f\lambda \] \[\Rightarrow \] \[f=\frac{v}{\lambda }\] Number of beats = difference in frequencies \[\therefore \] \[{{f}_{1}}-{{f}_{2}}=v\left( \frac{1}{{{\lambda }_{1}}}-\frac{1}{{{\lambda }_{2}}} \right)\] \[\frac{10}{3}=v\left( \frac{1}{1}-\frac{1}{1.01} \right)\] \[\frac{10}{3}=v\left( \frac{0.01}{1.01} \right)\] \[\Rightarrow \] \[v=\frac{10\times 1.01}{3\times 0.01}=336.7\,m/s\]
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