A pipe closed at one end resonates at its fundamental frequency of 100 Hz. If the velocity of sound

Question

A pipe closed at one end resonates at its fundamental frequency of 100 Hz. If the velocity of sound in air is 340 m/s, calculate the length of the pipe.

Answer 1

A pipe closed at one end resonates at its fundamental frequency of 100 Hz. If the velocity of sound in air is 340 m/s, calculate the length of the pipe.

0.85 m ✓
0.75 m
0.95 m
1.00 m

Explanation

A pipe closed at one end has a quarter of a wavelength in its fundamental mode, so L = λ/4.

λ = v/f = 340 ÷ 100 = 3.4 m.

L = 3.4 ÷ 4 = 0.85 m.

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