A string `120 cm` in length sustains a standing wave, with the points of the string at which the displacement amplitude is equal to `3.5 mm` being separated by `15.0cm.` Find the maximum displacement amplitude. To which overtone do these oscillations correspond ?

Explanation

To solve the problem step by step, we will follow the reasoning provided in the video transcript.

### Step 1: Understand the given information
- Length of the string, \( L = 120 \, \text{cm} \)
- Displacement amplitude at certain points, \( y = 3.5 \, \text{mm} \)
- Distance between points with equal displacement amplitude, \( d = 15.0 \, \text{cm} \)

### Step 2: Identify the relationship between the points
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