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MasteringPhysics-20 - MasteringPhysics Assignment Print...

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MasteringPhysics: Assignment Print View http://session.masteringphysics.com/myct/assignmentPrint?assignm... 1 of 16 11/18/07 7:30 PM [ Print View ] physics 2211 MP16: Chapter 20 Due at 5:30pm on Sunday, November 25, 2007 View Grading Details Wave Notation Learning Goal: To understand the relationships between the parameters that characterize a wave. It is of fundamental importance in many areas of physics to be able to deal with waves. This problem will lead you to understand the relationship of variables related to wave propagation: frequency, wavelength, velocity of propagation, and related variables. Note that these are kinematic variables that relate to the wave's propagation and do not depend on its amplitude. Part A Traveling waves propagate with a fixed speed usually denoted as (but sometimes ). The waves are called _______________ if their waveform repeats every time interval . ANSWER: periodic Periodic waves are characterized by a frequency that is designated by or . The quantities and are related to the length of the waves. The fundamental relationship among frequency, wavelength, and velocity is . This relationship may be visualized as follows: In 1 s, cycles of the wave move past an observer. In this same second the wavetrain moves a distance . Part B Solve this equation to find an expression for the wavelength . Express your answer in terms of the velocity and the frequency . ANSWER: = [ Print ]
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MasteringPhysics: Assignment Print View http://session.masteringphysics.com/myct/assignmentPrint?assignm... 2 of 16 11/18/07 7:30 PM Part C If the velocity of the wave remains constant, then as the frequency of the wave is increased, the wavelength ___________. ANSWER: decreases Part D The difference between the frequency and the frequency is that is measured in cycles per second or hertz (abbreviated Hz) whereas the units for are _______ per second. Give your answer in one word. Watch your spelling to avoid a mistake! ANSWER: radians Part E Find an expression for the period of a wave in terms of other kinematic variables. Express your answer in terms of any of , , , and simple constants such as . ANSWER: = Part F What is the relationship between and ? ANSWER: = Part G What is the simplest relationship between the angular wavenumber and just one of the other kinematic variables? Express your answer using only one of the other kinematic variables plus constants like .
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MasteringPhysics: Assignment Print View http://session.masteringphysics.com/myct/assignmentPrint?assignm... 3 of 16 11/18/07 7:30 PM ANSWER: = The units of are and indicate that angular wavenumber is a measure of the number of radians of phase in a unit distance, which is times the number of complete wave cycles in this distance. For example, a distance of one wavelength is equivalent to one cycle, one period, and . The angular wavenumber is often misnamed "wavenumber," which is actually , so be careful to determine how this term is defined when reading your textbook or reviewing your lecture notes.
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