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If n₁, n₂ and n₃ are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency n of the string is given by:

1. 1/n = 1/n₁ + 1/n₂ + 1/n₃
2. 1/n = √(1/n₁ + 1/n₂ + 1/n₃)
3. n = √n₁ + √n₂ + √n₃
4. n = n₁ + n₂ + n₃

Correct answer: 1/n = 1/n₁ + 1/n₂ + 1/n₃

Solution

When a string is divided into segments, the reciprocal of the original fundamental frequency is the sum of the reciprocals of the fundamental frequencies of the segments. This is derived from the relationship between the length of the string and its frequency.

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