1. A vertical tube with a tap at the base is filled withwater, and a tuning fork
ID: 1681082 • Letter: 1
Question
1. A vertical tube with a tap at the base is filled withwater, and a tuning fork vibrates over its mouth. As thewater level is lowered in the tube, the resonance is heard when thewater level has dropped at 0.18 m and again after 0.45 m ofdistance exists from the water to the top of the tube. Whatis the frequency of the tuning fork?2.One tuning fork has a 422-Hz pitch. When a second forkis struck, beat notes occur with a frequency of 3 Hz. Thereare two possible frequencies of the second fork. Which is thelower frequency?
1. A vertical tube with a tap at the base is filled withwater, and a tuning fork vibrates over its mouth. As thewater level is lowered in the tube, the resonance is heard when thewater level has dropped at 0.18 m and again after 0.45 m ofdistance exists from the water to the top of the tube. Whatis the frequency of the tuning fork?
2.One tuning fork has a 422-Hz pitch. When a second forkis struck, beat notes occur with a frequency of 3 Hz. Thereare two possible frequencies of the second fork. Which is thelower frequency?
Explanation / Answer
I will tell you only about the concept of the problem. you know that resonance happens due to constructive interference(or in other words 'superimposition') of sound waves.It means that 0.18 ms depth is kind of n./2 (multiple of/2)where is wavelength of the wave generated byfork. The wave gets generated and travels to water surface andreflects to the mouth of tube covering total distance in multiplesof , thus causing resonance or constructive interferencebecause its in phase with fork generated waves. The resonance happens again at 0.45 ms. It means again this depthis multiple of /2 but greater than previous depth by ameasure of /2. means if 0.2 ms = n./2 then 0.45 ms = n/2 +/2 = (n + 1)/2 It means the difference in depths is a measure of /2 thusproviding you the value of . Knowing the temperature you can evaluate the speed of sound v atthat particular temperature. As v = f. where v = speed of sound, f = frequency, = wavelength you can evaluate value of f for fork. Second part is rather difficult to calculate,sorry.
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