Standing WavesI. User Interface and Simulation FeaturesThis simulation provides a stylized graphic of a wave on a string or a tube with one open end.The point of this experiment is to find combinations of length, wave speed and frequency thatmake naturally resonant systems (standing waves). You may choose the speed of the wave, thefrequency of the wave, and the length of the tube or string. The timer and the oscillations of thestring or the air in the pipe are synchronized. Both operate much slower than real time. At longwavelengths and low frequencies, the simulation speed may be increased with the slider bar inorder to gain results more quickly.II. QuestionsIn each case when you start a simulation for the following questions, reset the values using theicon in the control panel at the left side of the screen. Each question assumes that you have donethis. Then set only the values indicated in the question.1. How many complete wavelengths are present? Can you vary the frequency to find a lowernumber of wavelengths that still produces a resonance? How many wavelengths? What is thefrequency? Can you vary the frequency to find a fraction of a wavelength that produces aresonance? What is the fractional part of the wavelength? What is the frequency?2. Set the wave speed to 48 m/s. What shorter length gives a resonance? Can you find a secondeven shorter length? What is the length? What fraction of a wavelength is present?3. Suppose you wanted to select a string for a piano that would have a fundamental frequency of64 Hz (2 octaves below middle C). The speed of the wave in this string is 95 m/s. Calculate theshortest length for this string. Confirm by simulation.4. Calculate the 2nd and 3ªd harmonic frequencies for the string above.5. Uncheck “closed/open tube" so that you now have a tube with the right end open. (Keep thewave speed at 40 m/s.) For fundamental frequency of 20 Hz, calculate the length of the tube.Calculate the frequencies of the next two overtones and corresponding wavelengths for this tube.Confirm resonances in simulation. wave speed (m/s)35Closed/Open Tubefrequency (Hz)600.032simulation speedstartstop4resetlength of tube (m)3.3

1) Wave on a string with one end open and here node will always form at the rigid end while an…

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