Question:medium

An air column is of length 17 cm. Find the ratio of the frequency of the 5th overtone when the column is closed at one end to that when it is open at both ends. (Speed of sound in air = 340 m/s.)

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In MHT-CET, if a question asks for a ratio of frequencies of overtones for pipes of the same length, \(v\) and \(L\) always cancel. Don't waste time calculating the numerical values of the frequencies!

Updated On: Apr 11, 2026

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An air column is of length 17 cm. Find the ratio of the frequency of the 5th overtone when the column is closed at one end to that when it is open at both ends. (Speed of sound in air = 340 m/s.)

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Solution and Explanation

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