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Two violin strings are tuned to the same frequency of 294 Hz. The tension in one string is then decreased by 18%.

What will be the beat frequency heard when the two strings are played together?

Answer :

Final answer:

The frequency of a vibrating string depends on the tension, with a decrease in tension leading to a decrease in frequency. If the tension is reduced by 18%, the frequency also decreases by the square root of the percentage, leading to a new frequency of approximately 259 Hz.

Explanation:

The frequency of a vibrating string depends on the tension, length and density of the string. If the tension in a string reduces, the frequency will also reduce because the string can't vibrate as fast. Given that the tension in the string is reduced by 18%, the frequency will also decrease by the square root of that percentage. Therefore, the new frequency of the string would be approximately 294 Hz * sqrt(0.82) which is approximately 259 Hz.

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