A whitle of frequency 540 Hz rotates in a horizontal circle of radius 2 m at an angular speed of `15(rad)/(s)`. What is the lowest and the highest frequency heard by a listener a long distance away at rest with respect to the centre of the circle? (Velocity of sound in air is `c=330(m)/(s)`.)

Explanation

To solve the problem, we will use the Doppler effect formula for sound waves. The frequency heard by an observer can change depending on the motion of the source relative to the observer.

### Given Data:
- Frequency of the whistle (f) = 540 Hz
- Angular speed (ω) = 15 rad/s
- Radius of the circle (r) = 2 m
- Velocity of sound in air (c) = 330 m/s

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