Sonometer Experiment: Measuring AC Mains Frequency

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The experiment involved measuring AC mains frequency using a sonometer, where an electromagnet vibrated a string. The length of the string was adjusted to achieve maximum amplitude, indicating resonance. Resonance occurs when the natural frequency of the string matches the external frequency. The amplitude of vibration changes with the length of the string, which is influenced by the string's tension and material properties. The discussion confirms that resonance was present during the experiment.
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We did an experiment of measuring AC mains frequency using sonometer. In the experiment an electromagnet was vibrating the string. We adjusted the length of the string so that the amplitude is maximum. My question is that resonance was there in vibration or not. How the amplitude was changing with the change in length of the string:confused:
 
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A stretched sting has certain vibrational modes (frequencies) only.
This depends upon the length of the sting. It also depends upon the tension in the string & the string's material.

When you matched the natural frequency of the string (by changing the length) with the external frequency, it started to resonate.
 
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