Eleven tuning forks are arranged in increasing order of frequency in such a way that any two consecutive tuning forks produce \(4\) beats per second. The highest frequency is twice that of the lowest. The highest and the lowest frequencies (in Hz) are, respectively:
1.
\(100~\text{and}~50\)
2.
\(44~\text{and}~22\)
3.
\(80~\text{and}~40\)
4.
\(72~\text{and}~30\)
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Consecutive frequencies emitted from an organ pipe are \(75~\text{Hz}\), \(125~\text{Hz}\), \(175~\text{Hz}\). The frequency of the tenth overtone will be:
1.
\(275~\text{Hz}\)
2.
\(175~\text{Hz}\)
3.
\(525~\text{Hz}\)
4.
\(575~\text{Hz}\)
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The third overtone of a closed pipe is observed to be in unison with the second overtone of an open pipe. The ratio of the lengths of the pipes is:
1.
\(\frac{3}{2}\)
2.
\(\frac{5}{3}\)
3.
\(\frac{7}{4}\)
4.
\(\frac{7}{6}\)
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The two nearest harmonics of a tube close at one end and open at the other end are \(220~\text{Hz}\) and \(260~\text{Hz}\). What is the fundamental frequency of the system?
1.
\(10~\text{Hz}\)
2.
\(20~\text{Hz}\)
3.
\(30~\text{Hz}\)
4.
\(40~\text{Hz}\)
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The second overtone of an open organ pipe has the same frequency as the first overtone of a closed pipe L metre long. The length of the open pipe will be
1. L
2. 2L
3. L/2
4. 4L
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