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Can a standing wave be produced on a string by superposing

Chapter 15, Problem 19DQ

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QUESTION:

Can a standing wave be produced on a string by superposing two waves traveling in opposite directions with the same frequency but different amplitudes? Why or why not? Can a standing wave be produced by superposing two waves traveling in opposite directions with different frequencies but the same amplitude? Why or why not?

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QUESTION:

Can a standing wave be produced on a string by superposing two waves traveling in opposite directions with the same frequency but different amplitudes? Why or why not? Can a standing wave be produced by superposing two waves traveling in opposite directions with different frequencies but the same amplitude? Why or why not?

ANSWER:

Solution 19DQ Step 1: Introduction: A standing wave or stationary wave is a wave which has a constant amplitude at each point on its axis. The sections with amplitude is known as nodes and the sections with zero amplitude are called anti-nodes.By definition, the standing waves have zero velocity Generally, stationary waves are produced when two waves of the same amplitude, frequency, and wavelength but moving in opposite directions are present in a common space. For example, when a string tied to a wall is disturbed, a wave will move towards the wall and after hitting the wall it reflects back to generate a standing wave. (a) Same frequency and different amplitude Let us consider two waves tr

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