Consider a string fixed at one end and free at the other. The standing waves wavelength slightly shorter than the longest one is O 4L O L O 4L/3 O 2L

Which of the following phase shifts will result in destructive interference of two identical waves? A) 2 (lambda) B)1/4 (lambda) C)1/2 (lambda) D)(lambda) E)both c and d

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2) Three waves are described by the following equations: Y1 = (0.1m) sin[(2лs¯¹)t + (3πm¯¹)x] y2 = (-0.2m) sin[(3πs¯¹)t - (2πm-1)x] y3 = (0.3m) sin[(4πs¯¹)t − (4πm¯¹)x] Rank the wavelengths of these waves from largest to smallest. Scientific Abilities Is able to extract the information from representations correctly Missing No visible attempt is made to extract information from the problem text. Inadequate Information that is extracted contains errors such as labeling quantities incorrectly, mixing up initial and final states, choosing a wrong system, etc. Physical quantities have no subscripts (when those are needed). Needs Improvement Some of the information is extracted correctly, but not all of the information. For example, physical quantities are represented with numbers there are no units. Or directions are missing. Subscripts for physical quantities are either Adequate All necessary information has been extracted correctly and written in a comprehensible way. Objects, systems,…

What steps would I take to better understand how D(x,t) = f(x - v t) + g(x + v t) could be a solution to the general wave equation?