2.a)the resultant of two interfering wave of the same wavelength and the frequen
ID: 2089544 • Letter: 2
Question
2.a)the resultant of two interfering wave of the same wavelength and the frequency is given as y=(14 mm)sin(kx+?t+0.5 rad). one of the interfering waves is y1=(8mm)sin(kx+?t). Calculate the amplitude and phase constant of the other interfering wave. draw and label the appropriate phasor diagram and perform the calculations to obtain this amplitude and phase constant. write the equation of this interfering wave. b)sound of a single frequency is sent into the system of pipes, one straight, the other consisting of two semi-circular paths of radii 20cm and 30cm. what is the lowest frequency that produces an intensity maximum on the output side?Explanation / Answer
Two or more waves traveling in the same medium travel independently and can pass through each other. In regions where they overlap we only observe a single disturbance. We observe interference. When two or more waves interfere, the resulting displacement is equal to the vector sum of the individual displacements. If two waves with equal amplitudes overlap in phase, i.e. if crest meets crest and trough meets trough, then we observe a resultant wave with twice the amplitude. We have constructive interference. If the two overlapping waves, however, are completely out of phase, i.e. if crest meets trough, then the two waves cancel each other out completely. We have destructive interference. Diffraction refers to various phenomena associated with wave propagation, such as the bending, spreading and interference of waves emerging from an aperture. It occurs with any type of wave, including sound waves, water waves, electromagnetic waves such as light and radio waves, and matter displaying wave-like properties according to the wave
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