Twenty four tuning forks are arranged in such a way that...

Twenty four tuning forks are arranged in such a way that each fork produces 6 beats/s with the preceding fork. If the frequency of the last tuning fork is double than the first fork, then the frequency of the second tuning fork is $\ldots \ldots$
(A) 132
(B) 138
(C) 276
(D) 144

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Key Concepts

Arithmetic Progression

An arithmetic progression is a sequence of numbers in which the difference between any two successive members is constant. In problems involving sequential changes, such as frequency differences between consecutive tuning forks, the arithmetic progression provides a method to determine any term in the sequence using the first term and the common difference.

Beat Frequency

Beat frequency is a phenomenon observed when two sound waves of slightly different frequencies interfere, resulting in a new frequency equal to the absolute difference of the two original frequencies. This concept is crucial in problems where the interaction between successive sound sources, like tuning forks, generates beats that can be used to infer frequency differences.

Frequency Relationships

Frequency relationships deal with how the frequencies of different sound sources relate to each other by proportion or difference. In contexts where one frequency is a multiple or a specific difference from another, understanding these relationships allows for the determination of unknown frequencies based on given constraints or conditions.

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