Question: Kundt’s method for measuring the speed of sound. In Fig. 17-51, a rod R is clamped at its center; a disk D at its end projects into a glass tube that has cork filings spread over its interior. A plunger P is provided at the other end of the tube, and the tube is filled with a gas. The rod is made to oscillate longitudinally at frequency f to produce sound waves inside the gas, and the location of the plunger is adjusted until a standing sound wave pattern is set up inside the tube. Once the standing wave is set up, the motion of the gas molecules causes the cork filings to collect in a pattern of ridges at the displacement nodes . and the separation between ridges is 9.20 cm, what is the speed of sound in the gas?
The speed of sound in the gas is
Use the concept of interference and standing waves and can find the wavelength from the distance between two ridges. The equation of speed-related to the frequency and wavelength of a wave will give us the speed of sound in the gas.
The speed of a standing wave, (i)
Given that the ridges are formed at the nodes of standing waves. So, the distance between ridges will represent the distance of half wavelength.
Hence, the wavelength of sound waves inside Kundt’s tube is= 0.184m
Using equation (i), the speed of sound waves inside the tube can be given as:
Hence, the value of the speed of the sound waves is
One of the harmonic frequencies of tube A with two open ends is 325Hz. The next-highest harmonic frequency is 390Hz. (a) What harmonic frequency is next highest after the harmonic frequency 195Hz? (b) What is the number of this next-highest harmonic? One of the harmonic frequencies of tube B with only one open end is 1080Hz. The next-highest harmonic frequency is 1320Hz. (c) What harmonic frequency is next highest after the harmonic frequency 600Hz? (d) What is the number of this next-highest harmonic?
(a) If two sound waves, one in air and one in (fresh) water, are equal in intensity and angular frequency, what is the ratio of the pressure amplitude of the wave in water to that of the wave in air? Assume the water and the air are at . (See Table 14-1.)
(b) If the pressure amplitudes are equal instead, what is the ratio of the intensities of the waves?
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