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Physics · Unit 2 · Waves · Wave properties

Explain constructive interference and destructive interference of two simple waves.

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Question 1

Two identical water waves, each with an amplitude of 2.5 cm and wavelength of 12.0 cm, approach a fixed point P from different directions. The diagram shows the displacement of each wave at point P at a particular instant. Explain what type of interference occurs at point P at this instant and predict the resultant displacement at P.

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Question 2

Two identical sound waves, each with amplitude $A = 2.0$ mm and wavelength $\lambda = 0.80$ m, travel along the same path and meet at a point P. Wave 1 has travelled 4.8 m from its source, and wave 2 has travelled 5.6 m from its source. Explain whether the waves will interfere constructively or destructively at point P in terms of path difference and phase relationship.

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Question 3

Two coherent waves, each with amplitude 0.30 m and wavelength 2.4 m, travel through the same medium and meet at point P. Wave 1 travels 8.4 m to reach P, while wave 2 travels 9.6 m to reach P. What is the resultant amplitude at point P?

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Question 4

Two identical speakers emit sound waves of frequency 680 Hz in phase. A microphone is positioned 3.0 m from speaker A and 3.5 m from speaker B. The speed of sound is 340 m/s. Explain whether the microphone detects constructive interference or destructive interference, in terms of the path difference and the phase relationship of the two waves arriving at the microphone.

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