A whistle emitting a sound of frequency `440 Hz` is tied to a string of `1.5 m` length and roated with an angular velocity of `20 rad//s` in the horizontal plane. Calculate the range of frequencies heard by an observer stationed at a larger distance from the whistle .(Speed of sound =`330 m//s)` .

Explanation

To solve the problem, we need to find the range of frequencies heard by an observer when a whistle emitting a sound of frequency 440 Hz is rotated in a circular motion. We will use the Doppler effect to calculate the apparent frequencies at two positions: one when the whistle is moving towards the observer and the other when it is moving away from the observer.

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Frequency of the whistle, \( f = 440 \, \text{Hz} \)
- Length of the string, \( l = 1.5 \, \text{m} \)
- Angular velocity, \( \omega = 20 \, \text{rad/s} \)
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