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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 at which the displacement amplitude is equal to `3.5 mm` being separated by ` 1.50 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 principles of standing waves and their properties. ### Step 1: Understanding the Standing Wave Equation The equation for a standing wave can be expressed as: \[ y(x, t) = A \sin(kx) \cos(\omega t) \] where: - \( A \) is the maximum displacement amplitude, - \( k \) is the wave number, ...
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