Question

B. Describe what happens at a point on the surface of the water where: • a crest meets a crest . . a trough meets a trough a crest meets a trough For each of the above cases, describe how your answer would differ if the amplitudes of the two waves were not equal. Explain your reasoning. If the waves from two identical sources travel different distances to reach a particular point, the amplitudes of the waves from the two sources will not be the same at that point. For points that are sufficiently far from the sources, however, this difference in the amplitudes of the waves is small. For the remainder of this tutorial, we will ignore any such variations in amplitude. c. You have been provided a larger version of the diagram of the wavefronts due to two sources. 1. Use different colors to mark the places at which for the instant shown: • the displacement of the water surface is zero (i.e., at its equilibrium level) the displacement of the water surface is the greatest above equilibrium • the displacement of the water surface is the greatest below equilibrium (Hint: Look for patterns that will help you identify these points.) 2. What patterns do you notice? Sketch the patterns on the diagram in part A. D. The representation that we have been using indicates the shape of the water surface at one particular instant in time. 1. Consider a point on your diagram where a crest meets a crest. How would the displacement of the water surface at this point change over time? (e.g., What would the displacement be one-quarter period later? What would it be one-half period later?) 2. Consider what happens at a point on your diagram where a crest meets a trough. How will the displacement of the water surface at this point change over time? E. Suppose that a small piece of paper were floating on the surface of the water. On the basis of your diagram, predict where the paper would move (1) the least, and (2) the most.

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Answer 1