A cylindrical tube sustains a fundamental frequency f₁ when both of its ends are open. A second cylindrical tube with one end closed has the same fundamental frequency. What is the ratio of the length of the second tube to that of the first, L₂/L₁? A)0.5 B)4 C)2 D)0.25 E)1

Question

Quizplus · Accepted Answer

For a tube open at both ends, the fundamental frequency is determined by the length L1 being half the wavelength (λ/2). For a tube closed at one end, the fundamental frequency is determined by the length L2 being a quarter of the wavelength (λ/4). To have the same fundamental frequency, L2 must be half of L1, so the ratio L2/L1 is 0.5.

A Cylindrical Tube Sustains a Fundamental Frequency F1 When Both

A Cylindrical Tube Sustains a Fundamental Frequency F₁ When Both