An incident wave y = A sin ( ax + bt + 2 π ) is (travelling from rarer to denser medium) reflected by an obstacle at x = 0 which reduces intensity of reflected wave by 36%. Due to super position a r

Question

An incident wave y = A sin ( ax + bt + 2 π ​ ) is (travelling from rarer to denser medium) reflected by an obstacle at x = 0 which reduces intensity of reflected wave by 36%. Due to super position a resulting wave consisting of standing wave and travelling wave in the rarer medium is given by y = − 1.6 A sin ax sin bt + cA cos ( bt − ax )

TestHub · Accepted Answer

Partial standing wave: reflected amplitude $A_{r} = 0.8 A$ with phase change $π$ (A)

Remaining travelling amplitude = $A - 0.8 A = 0.2 A$ , so c = 0.2 (B)

Antinodes where $sin a x = \pm 1$ ; second antinode at $x = \frac{3 π}{2 a}$ (C)

Answers (A, B, C)

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