Question

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?

Answer 1

Answer:

The speed of sound in this gas = 416 m/s

Explanation:

The wave produced in a column open at one end, closed at the other has the relation L = λ/4 with the length of the tube.

The standing wave pattern for the tube closed at one end has a node at the closed end & an antinode at the open end.

The distance between the node and antinode = wavelength/4 = λ/4

1.3 = λ/4

λ = 5.20 m

For any wave, v = fλ

v = velocity of the wave = ?

f = frequency of the wave = 80 Hz

λ = wavelength of the wave = 5.20 m

v = 5.2 × 80 = 416 m/s