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- Problem 1: The figure below shows four identical point sources of sound that are uniformly spaced on an x-axis. Sq d- d S3 d S4 P The sources emit sound at the same wavelength X and same amplitude A, and they emit in phase. A point P is shown on the x axis. Assume that as the sound waves travel to P, the decrease in their amplitude is negligible. What multiple of A is the amplitude of the net wave at P if distance d in the figure is (a) X/4, (b) A/2, and (c) X?Find the proportion of energy of a transverse wave that is transmitted across the join between two strings of differing density (ρ) and wave speed (c). Write your answer in terms of the impedances of the two strings (z1 = ρ1c1 and z2 = ρ2c2).An interface is formed between a block of aluminium (with an acoustic impedance of 1.8 x 107 kg m2 s') and a block of copper (with an acoustic impedance of 4.6 x 107 kg m-2 s-1). Longitudinal sound waves travelling through the aluminium are normally incident on the boundary, and are partially reflected. a) What is the ratio of the amplitude of the reflected wave to that of the incident wave? Number b) What is the ratio of the amplitude of the transmitted wave to that of the incident wave? Number c) What percentage of the incident power is transmitted? Number d) What percentage of the incident power is reflected? Number % Ouit P Sove Questi
- Suppose that the two speakers in given Figure are separated by 2.50 m and are vibrating exactly out of phase at a frequency of 429 Hz. The speed of sound is 343 m/s. Does the observer at C observe constructive or destructive interference when his distance from speaker B is (a) 1.15 m and (b) 2.00 m?AW-1 A standing wave on a string is produced by two waves which travel along the string in opposite directions. The displacements of the two component waves are given by the functions shown below, where all quantities are in SI units. D₁(x, t) = (0.10)sin(4.0x – 9.5t) and D₂(x, t) = (0.10)sin(4.0x + 9.5t) a) Find the function that describes the overall standing wave. This will be the total displacement of the two component waves, D₁(x, t) = D₁(x,t)+D₂(x,t) b) What is the amplitude of the standing wave, in meters? c) What is the wavelength of the standing wave, in meters? d) What is the frequency of the standing wave, in Hz? What is the speed of each component wave, in m/s?A transverse periodic wave described by the expression y = sin (where y and x are in meters and t is in seconds) is established on a string. Which one of the following statements concerning this wave is false? O The wave travels with speed 5.0 m/s. O The amplitude is 1.0 m. O The frequency of the wave is 0.10 Hz. O The wave is traveling in the negative x direction.