A whistle of frequency `540 H_(Z)` rotates in a circle of radius `2 m`at a linear speed of `30 m//s` . What is the lowest and highest frequency heard by an observer a long distance away at rest with respect to the centre of circle ? Take speed of sound of sound in air as `330 m//s`. Can the apparent frequency be ever equal to actual ?

Explanation

To solve the problem, we need to find the lowest and highest frequencies heard by an observer a long distance away from a rotating whistle. We will use the Doppler effect formula for sound waves to calculate these frequencies.

### Given Data:
- Frequency of the whistle, \( f = 540 \, \text{Hz} \)
- Speed of sound in air, \( V = 330 \, \text{m/s} \)
- Linear speed of the whistle, \( V_s = 30 \, \text{m/s} \)

### Step 1: Calculate the Minimum Frequency
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