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Solved: Can a standing wave be produced on a string by
Chapter 15, Problem 19DQ(choose chapter or problem)
Problem 19DQ
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?
Questions & Answers
QUESTION:
Problem 19DQ
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.