The ratio of the fundamental frequency of an open end pipe to a pipe whose one end is closed is:
Correct answer: C. 2:1
- A. 1: 1
- B. 1:2
- C. 2:1
- D. 1:4
Explanation
(A) Option 1: 1:1 ratio. This option states that the fundamental frequency of an open-end pipe is in a 1:1 ratio with a pipe whose one end is closed. However, this is not correct. The fundamental frequency of a closed-end pipe is actually different from that of an open-end pipe.(B) Option 2: 1:2 ratio. This option states that the fundamental frequency of an open-end pipe is in a 1:2 ratio with a pipe whose one end is closed. This is also not correct. The correct ratio is different from this.(C) Option 3: 2:1 ratio. This is the correct answer! The fundamental frequency of an open-end pipe is in a 2:1 ratio with a pipe whose one end is closed. This means that the fundamental frequency of the closed-end pipe is twice that of the open-end pipe.(D) Option 4: 1:4 ratio. This option states that the fundamental frequency of an open-end pipe is in a 1:4 ratio with a pipe whose one end is closed. This is not correct. The correct ratio is different from this.So, the correct answer is (C) 2:1. The fundamental frequency of an open-end pipe is in a 2:1 ratio with a pipe whose one end is closed.
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About Organ Pipes
Organ pipes produce standing sound waves in air columns, with resonance determined by whether each end is open or closed. The topic covers nodes, antinodes, fundamental frequency, harmonics, wavelength and end correction. Open pipes support all harmonics, while closed pipes support only odd harmonics under the ideal model.
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