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A set of 25 tuning forks is arranged in ...

A set of 25 tuning forks is arranged in order of decreasing frequency. Each fork gives 3 beats with succeding one. The first fork is octave of the last. Calculate the frequency of the first and 16th fork.

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To solve the problem, we need to find the frequencies of the first and the 16th tuning forks in a set of 25 tuning forks arranged in decreasing order of frequency, where each fork produces 3 beats with the succeeding one, and the first fork is an octave of the last. ### Step-by-Step Solution: 1. **Define the Frequencies**: Let the frequency of the last fork (25th fork) be \( N \). Since the first fork is an octave of the last, the frequency of the first fork will be: \[ f_1 = 2N ...
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