Standing sound waves: A 1.30-m long gas column that is open at one end and closed at the other end has a fundamental resonant frequency 80.0 Hz. What is the speed of sound in this gas?
A) 104 m/s
B) 61.5 m/s
C) 26.0 m/s
D) 246 m/s
E) 416 m/s

Question

Quizplus · Accepted Answer

The fundamental frequency of a pipe open at one end and closed at the other is given by $ f = \frac{v}{4L} $. Solving for $ v $ gives $ v = 4Lf $. Substituting $ L = 1.30 \, \text{m} $ and $ f = 80.0 \, \text{Hz} $, we get $ v = 4 \times 1.30 \times 80 = 416 \, \text{m/s} $.

Standing Sound Waves: a 1