A 1024 Hz tuning fork is used to obtain a series of resonance levels in a gas column of variable length, with one end closed and the other open.The length of the column changes by 20 cm from resonance to resonance.From this data, the speed of sound in this gas is:
A)20 m/s
B)51 m/s
C)102 m/s
D)205 m/s
E)410 m/s

Question

Quizplus · Accepted Answer

The change in length between resonances in a closed-open tube is half the wavelength. Therefore, the wavelength is 40 cm (0.4 m). Using the formula v = fλ, where f = 1024 Hz and λ = 0.4 m, the speed of sound v = 1024 * 0.4 = 409.6 m/s, approximately 410 m/s.

A 1024 Hz Tuning Fork Is Used to Obtain a Series