ws19 - (a n = 2 L n ⇒ 1 = 2 L = 20 m(b 2 = 10 m and...

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Worksheet 19: Waves Problems 1. The equation of a certain wave is: y ( x, t ) = 0 . 1 sin [2 π ( x - 10 t )]. (a) It is moving right (positive x -direction) (b) λ = 1 m , f = 10 Hz , v = λf = 10 m/s (c) T = v 2 μ = 10 N (d) v transverse,max = = 2 π m/s 2. Sound enters into a tube which splits in two and then reconnects. Constructive interference occurs when λ n = ( π 2) r n for n = 1 , 2 , 3 , . . . . Destructive interference occurs when λ n = ( π 2) r n + 1 2 for n = 0 , 1 , 2 , 3 , . . . . 3. Radio waves are emitted and either travel straight to the detector or bounce off the atmosphere before hitting the detector. The condition for constructive interference is: D 2 + 4 H 2 - D = for n = 1 , 2 , 3 , . . . . 4. A wire is stretched between two walls.
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Unformatted text preview: (a) λ n = 2 L n ⇒ λ 1 = 2 L = 20 m (b) λ 2 = 10 m and λ 3 = 20 3 m (c) f n = v λ n = n (1 . 1 Hz ) ⇒ f 1 = 1 . 1 Hz,f 2 = 2 . 2 Hz,f 3 = 3 . 3 Hz 5. A violinist ±ngers a violin one-fourth of the way down from the end. The fundamental frequency of this position is f ′ 1 = 4 3 f 1 = 587 Hz 6. A massless rod is pivoted at an angle θ with a string stretched between it and a wall, whith another string holding a block beneath it. The fundamental frequency of the string is: f = v λ = r mg tan θ 4 L 2 μ 1...
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