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Question

A wave yi = 0.3 cos (0.2x 40t) is travelling along a string toward a boundary at x = 0. What is the expression for the reflected wave when, the string has a free end at x = 0. Assume SI units

A

0.3 cos (0.2 x - 40t)

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B

0.3 cos (0.2 x - 40t)

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C

0.3 cos (0.2 x - 40t + π)

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D

None of these

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Solution

The correct option is B

0.3 cos (0.2 x - 40t)


If there is a free end, the wave will reflect with no change in phase. So the equation is yr = 0.3 cos (0.2x + 40t). The sign if you notice (inside cosine) changes as the direction changes.

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