In Qunick's acoustic interferometer , it is found that the sound intensity has a minimum value of `100 units` at one position of the sliding tube , and cocontinuously climbs to a maximum of `900 units` at a second position `1.65 cm` from the first . Find
(a) the frequency of the sound emitted by the source and
(b) the relative amplitudes of the two waves arriving at the detector.
Velocity of sound in air ` = 340 m//s`.

Explanation

To solve the problem step by step, we will break it down into two parts as required by the question.

### Part (a): Finding the Frequency of the Sound Emitted by the Source

1. **Understanding the Relationship Between Distance and Wavelength**:
- We know that the distance between the minimum intensity (I_min) and maximum intensity (I_max) is given as \(1.65 \, \text{cm}\).
- The distance between these two points corresponds to \(\frac{\lambda}{4}\) (where \(\lambda\) is the wavelength).

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