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Question

A wave yi = 0.3 cos (40t 0.2x) is travelling along a string toward a boundary at x = 0. What are the expressions for the reflected waves if the string has a fixed end and at x = 0. Assume SI units.


A
0.3 cos (0.2x 40t + π)
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B
0.3 cos (0.2x + 40t + π)
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C
0.3 cos (0.2x + 40t)
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D
none of these
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Solution

The correct option is B 0.3 cos (0.2x + 40t + π)

If the end is fixed then the wave reflects back with a phase change of π. So the wave equation will be y = 0.3 cos (0.2x + 40t + π)

Since the wave moves in opposite direction. The sign changes to +.


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