3 A：transverse waves on a string B：resonance of metal strip ExperimentsA：transverse waves on a stringB：resonance of metal stripC：resonances of a metal loopD：longitudinal waves on a springE：two-dimensional vibration modes of plates (Chladni pattern)
6 Nondispersive medium and dispersive medium 非色散介質與色散介質 A dispersive medium is a medium in which waves of different frequencies travel at different velocities. With electromagnetic radiation (e.g. light, radio waves), this occurs because the index of refraction of the medium is frequency dependent.
15 Experimental Procedures Carry out following measurements for 最細的弦 1. Arrange the set up shown in slide 9 or Try to observe the standing wave at three different frequencies. 3. Determine the wave velocity and compare with calculated value. 4. Repeat steps 2 and 3 for different tension. 5. 將振動儀轉90°（如圖），此時振動方向平行弦，重複步驟2-3。
23 Bohr’s hydrogen atom角動量量子化 pr = nh/2 energy of hydrogen energy level de Broglie wavelength = h/p = 2r/n
24 ReferenceD. Bloom and D. W. Bloom “Vibrating Wire Loop and the Bohr Model”, Physics Teacher 41, 292 (2003).m can be any odd number and represents the number of nodes in the oscillation of the wire loop
25 Experimental procedures Determine the resonance frequencies for six different number of nodes.Plot the resonance frequency vs. m2 (m = number of nodes).
26 實驗 D：彈簧縱波振盪 𝑓 𝑛 = 𝑛 2 𝑘 𝑚 T = kL m = m/L v = L 𝑘 𝑚 𝑓 𝑛 = 𝑛 2 𝑘 𝑚T = kLm = m/Lv = L 𝑘 𝑚C. Rutherford “A fresh look at longitudinal standing waves on a spring”, Physics Teacher 51, 22 (2013).
27 D: longitudinal wave on a spring 𝑓 𝑛 = 𝑛 2 𝑘 𝑚T = kLm = m/Lv = L 𝑘 𝑚C. Rutherford “A fresh look at longitudinal standing waves on a spring”, Physics Teacher 51, 22 (2013).
28 Experimental Procedures Measure the mass and force constant of the spring.Try to observe the standing waves at three different frequencies.Determine the velocity of longitudinal wave and compare with calculation.Repeat steps 2-3 for different stretched length.