A source \( \mathrm{S} \) of frequency \( \mathrm{f}_{0} \) and an ...

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A source \( \mathrm{S} \) of frequency \( \mathrm{f}_{0} \) and an observer \( \mathrm{O} \), moving with speeds \( \mathrm{v}_{1} \) and \( \mathrm{v}_{2} \) respectively, are movinng away from each other. When they are separated by distance \( \mathrm{a}(\mathrm{t}=0) \), a pulse is emitted by the source.
\( \mathrm{P} \) This pulse is received by \( \mathrm{O} \) at time \( \mathrm{t}_{1} \) then \( \mathrm{t}_{1} \), is equal to
\( \mathrm{W} \)
(A) \( \frac{a}{v_{s}+v_{2}} \)
(B) \( \frac{a}{v_{1}+v_{s}} \)
(C) \( \frac{\mathrm{a}}{\mathrm{v}_{\mathrm{s}}-\mathrm{v}_{2}} \)
(D) \( \frac{a}{v_{1}+v_{2}+v_{s}} \)
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