A carousel that is $5\mathrm{.}00$ m in radius has a pair of $600-Hz$ sirens mounted on posts at opposite ends of a diameter. The carousel rotates with an angular velocity of $0\mathrm{.}800$ rad$/$s$.$ A stationary listener is located at a distance from the carousel. The speed of sound is $350\frac{m}{s}.$ The longest wavelength reaching the listener from the sirens is closest to

$577$ cm $.$

$570$ cm$.$

$590$ cm $.$

$58\mathrm{.}3$ cm

$596$ cm $.$

$$

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