wave_mechanics critical_thinking Question 27

25 tuning forks are arranged in series in the order of decreasing frequency. Any two successive forks produce 3 beats/sec. If the frequency of the first tuning fork is the octave of the last fork, then the frequency of the 21st fork is

[Kerala (Engg.) 2001]

Options:

A) 72 Hz

B) 288 Hz

C) 84 Hz

D) 87 Hz

Show Answer

Answer:

Correct Answer: C

Solution:

According to the question frequencies of first and last tuning forks are n and 2n respectively.

Hence frequency in the given arrangement are as follows

Therefore 2n ? 24 × 3 = n

Therefore n= 72 Hz So, frequency of 21st tuning fork $ n _{21}=(2\times 72-20\times 3)=84Hz $



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