A fixed source of sound emitting a certain frequency appears as \( f_{a} \) when the observer is...

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A fixed source of sound emitting a certain frequency appears as \( f_{a} \) when the observer is approaching the source with speed \( v_{0} \) and \( f_{r} \) when the observer recedes from the source with the same speed. The frequency of the source is
(a) \( \frac{f_{r}+f_{a}}{2} \)
(b) \( \frac{f_{r}-f_{a}}{2} \)
(c) \( \sqrt{f_{a} f_{r}} \)
(d) \( \frac{2 f_{r} f_{a}}{f_{r}+f_{a}} \)
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