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A string 120 cm in length sustains a st...

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

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To solve the problem step by step, we will follow the reasoning laid out in the video transcript. ### Step 1: Understanding the Problem We have a string of length \( L = 120 \, \text{cm} \) that sustains a standing wave. The points where the displacement amplitude is equal to \( 3.5 \, \text{mm} \) are separated by \( 15.0 \, \text{cm} \). We need to find the maximum displacement amplitude and determine the overtone corresponding to these oscillations. ### Step 2: Finding the Wavelength The distance between points of equal amplitude is half the wavelength (\( \lambda/2 \)). Since the points are separated by \( 15.0 \, \text{cm} \), we can write: \[ ...
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