Chapter 6. Standing Waves Figure 6.3: Illustration of transverse wave. Density is represented by variation of the shading lines (b). The higher density corresponds to more closely spaced lines. Note that density changes with distance (a) and time at a xed position (c) of the tube is connected to an oscilloscope. The signal from the microphone is amplied and displayed on the screen of the oscilloscope. Resonance occurs when the maximum amplitude signal is seen on the oscilloscope. Create a table in Logger Pro similar to the one shown in table 6.1 to record your data and calculations. Figure 6.3: Illustration of transverse wave. Density is represented by variation of the shading lines (b). The higher density corresponds to more closely spaced lines. Note that density changes with distance (a) and time at a xed position (c). of the tube is connected to an oscilloscope. The signal from the microphone is amplied and displayed on the screen of the oscilloscope. Resonance occurs when the maximum amplitude signal is seen on the oscilloscope. Create a table in Logger Pro similar to the one shown in table 5.1 to record your data and calculations. Table 6.1: Acoustic standing waves in a hollow cylinder data and calculations Frequency Resonance Difference in Resonance Wavelength Velocity (Hz) Lengths Lengths = A / 2 (m) (m) 700 L1 : L2 L1 Chapter 6. Standing Waves Siam! gm Figure 6.4: Acoustic standing wave in a tube. This corresponds to n : 3 as there are 3 quarter wavelengths present within the tube. Chapter 6. Standing Waves Figure 6.5: Experimental setup for studying acoustic standing waves. Chapter 6 Prelab Exercises for Standing Waves Prelab exercises should be attempted after reading the relevant chapter in the lab manual and before coming to the lab. Prelab exercises must be submitted prior to the start of each lab using eClass. 1. (a) Explain the differences between travelling and standing waves. (b) What is the difference between transverse and longitudinal waves? 2. With the help of Section 6.3 and figures 6.4 and 6.5 in the lab manual, draw wave envelopes for the first three standing waves (n = 1, 3, and 5) for standing waves with a wavelength of 12 cm. Include the length, L, of each standing wave in your diagram. 3. A glass tube, open at one end, is filled with an unknown liquid. Using a sound wave with a frequency of (1200 + 1) Hz, you set up the first standing wave and measure a length, L = (0.18 + 0.01) m. Calculate the speed of sound, including uncertainty, in the unknown material. Which liquid is the tube filled with given the speed of sound in (a) water is 1481 m/s, (b) acetic acid is 1173 m/s or (c) liquid Argon is 840 m/s.|