A source S of frequency f_0 and an observer O | vedclass

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(C) The speed of the sound pulse in the medium is $v_s$. The speed of the source $v_1$ does not affect the speed of the pulse once it is emitted.The o

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$\frac{a}{v_s - v_2}$

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(C) The speed of the sound pulse in the medium is $v_s$. The speed of the source $v_1$ does not affect the speed of the pulse once it is emitted.The observer $O$ is moving away from the source with speed $v_2$. Therefore,the relative velocity of the sound pulse with respect to the observer is $v_{rel} = v_s - v_2$.The distance the pulse must cover to reach the observer is $a$. Since the observer is moving away,the pulse must travel the initial distance $a$ plus the distance covered by the observer during the time $t_1$. Alternatively,using relative velocity: $t_1 = \frac{	ext{Distance}}{	ext{Relative Velocity}} = \frac{a}{v_s - v_2}$.

$A$ source $S$ of frequency $f_0$ and an observer $O$,moving with speeds $v_1$ and $v_2$ respectively,are moving away from each other. When they are separated by a distance $a$ at $t = 0$,a pulse is emitted by the source. This pulse is received by $O$ at time $t_1$. Then $t_1$ is equal to:

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