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The fundamental frequency of a vibrating organ pipe is 100 Hz. Select the wrong alternative
  • a)
    The first overtone is 200 Hz
  • b)
    The first overtone may be 400 Hz
  • c)
    The first overtone may be 300 Hz
  • d)
    none of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The fundamental frequency of a vibrating organ pipe is 100 Hz. Select ...
Explanation:

Fundamental frequency of a vibrating organ pipe is 100 Hz.

The first overtone is the second harmonic frequency which is double of the fundamental frequency.

The formula for calculating the nth harmonic frequency is given by:

f(n) = n*f(1)

where f(1) is the fundamental frequency and n is the harmonic number.

Using this formula, we can calculate the frequency of the first overtone:

f(1st overtone) = 2*f(1) = 2*100 Hz = 200 Hz

Therefore, option (B) is incorrect as it states that the first overtone may be 400 Hz, which is actually the frequency of the second overtone.

Option (A) is correct as it states that the first overtone is 200 Hz, which is double the fundamental frequency.

Option (C) is also correct as it states that the first overtone may be 300 Hz, which is a possible frequency for the first overtone.

Hence, the correct answer is option (B).
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Community Answer
The fundamental frequency of a vibrating organ pipe is 100 Hz. Select ...
Correct answer is option.b
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