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As shown above there is two circles having radius \( \mathrm{R} \) and \( 2 \mathrm{R} \) respectively. Sound source is moving in inner circle in anticlockwise direction. Observer
\( \mathrm{P} \) is moving on outer circle in clockwise direction W with angular velocity \( \omega_{1} \) and \( \omega_{2} \) respectively. If frequency of source is \( f \) then, frequency observed by observer is
(Given: \( \omega_{1}=10 \mathrm{rad} / \mathrm{sec}, \omega_{2}=10 \mathrm{rad} / \mathrm{s}, \mathrm{R}=10 \mathrm{~m} \) and velocity of sound is \( 330 \mathrm{~m} / \mathrm{s} \) )
(1) \( \frac{23}{43} \mathrm{f} \)
(2) \( \frac{47}{23} \mathrm{f} \)
(3) \( \frac{43}{23} \mathrm{f} \)
(4) \( f \)
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