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Answer :
Final answer:
The length of a violin string and its frequency of vibrations are inversely proportional. Using the formula for inverse variation, we can determine the frequency of a 15-inch violin string.
Explanation:
The relationship between the length of a violin string, l, and the frequency of its vibrations, f, is described as inversely proportional. This means that as the length increases, the frequency decreases, and vice versa.
To solve the problem, we can use the formula for inverse variation:
l1 * f1 = l2 * f2
Where l1 and f1 represent the initial values (length and frequency) and l2 and f2 represent the new values we want to find.
Using the given values, we have:
18 * 350 = 15 * f2
From this equation, we can solve for f2, which represents the frequency of a 15-inch violin string.
f2 = (18 * 350) / 15 = 420 cycles per second.
Learn more about Inverse variation here:
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