A) \[\frac{{{f}_{a}}+{{f}_{r}}}{2}\]
B) \[\frac{{{f}_{a}}-{{f}_{r}}}{2}\]
C) \[\sqrt{{{f}_{a}}{{f}_{r}}}\]
D) \[\frac{2{{f}_{r}}{{f}_{a}}}{{{f}_{r}}+{{f}_{a}}}\]
Correct Answer: A
Solution :
\[{{f}_{a}}=\left[ \frac{v+{{v}_{0}}}{v} \right]f\] ?.(1) \[{{f}_{r}}=\left[ \frac{v-{{v}_{0}}}{v} \right]f\] ?.(2) \[\frac{{{f}_{a}}}{f}=1+\frac{{{v}_{0}}}{v}\] and \[\frac{{{f}_{r}}}{f}=1-\frac{{{v}_{0}}}{v}\] then \[\frac{{{f}_{a}}}{f}+\frac{{{f}_{r}}}{f}=2\Rightarrow f=\frac{{{f}_{a}}+{{f}_{r}}}{2}\]You need to login to perform this action.
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