A) \[\frac{5}{2\,\text{in}\,2}\]
B) \[\frac{5}{3}\]
C) \[\frac{5}{3\,\text{in}\,2}\]
D) \[\frac{5}{6}\]
Correct Answer: A
Solution :
Wavelength received by A and B are respectively\[{{\lambda }_{A}}=(v-{{v}_{s}})T=(10\mu -\mu /2)T=9.5uT\]and \[{{\lambda }_{B}}=(v+{{v}_{s}})T=(10\mu +\mu /2)T=10.5uT\]where. T is the time period of waves. \[\therefore \]\[\frac{{{\lambda }_{A}}}{{{\lambda }_{B}}}=\frac{9.5uT}{10.5uT}=\frac{19}{21}\] Hence, the correction option is (a).
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