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(D) Let the original frequency of the source be $F_{o}$.According to the Doppler effect,when the observer moves towards a stationary source,the appare

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$3$

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(D) Let the original frequency of the source be $F_{o}$.According to the Doppler effect,when the observer moves towards a stationary source,the apparent frequency $F_{1}$ is given by:$F_{1} = F_{o} \left[ \frac{V + V_{1}}{V} \right]$ ...$(1)$When the observer moves away from the stationary source,the apparent frequency $F_{2}$ is given by:$F_{2} = F_{o} \left[ \frac{V - V_{1}}{V} \right]$ ...$(2)$Dividing equation $(1)$ by equation $(2)$,we get:$\frac{F_{1}}{F_{2}} = \frac{V + V_{1}}{V - V_{1}}$Given that $\frac{F_{1}}{F_{2}} = 2$,we substitute this into the equation:$2 = \frac{V + V_{1}}{V - V_{1}}$$2(V - V_{1}) = V + V_{1}$$2V - 2V_{1} = V + V_{1}$$V = 3V_{1}$Therefore,$\frac{V}{V_{1}} = 3$.

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