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## Homework Statement

A string with a length of 2.5m has two adjacent resonances at frequencies 112 Hz and 140 Hz. Determine the fundamental frequency of the string?

A. 14 Hz

B. 28 Hz

C. 42 Hz

D. 56 Hz

E. 70 Hz

**2. The attempt at a solution**

Since I am not sure how to begin solving this I divided the two Resonances by each of the given solutions to the problem and based on that I came up with 28 Hz as being correct.

112/28 = 4 and 140/28 = 5 since these are adjacent and the others were not I chose 28 Hz

I'm sure there is some type of formula or a method of solving this. If anyone can help me with solving this the correct way it would be appreciated. Thank you.