HW 32 - Morby Grant Homework 32 Due noon Inst Drummond This...

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Morby, Grant – Homework 32 – Due: Apr 24 2006, noon – Inst: Drummond 1 This print-out should have 13 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. The due time is Central time. 001 (part 1 of 1) 10 points The amplitude of a transverse wave in a stretched string is the maxium displacement of the string from its equilibrium position. To what does the amplitude of a longitudi- nal sound wave in air correspond? 1. the square of the frequency 2. the maximum displacement of the air 3. the wavelength of the sound wave 4. the overpressure of the compression cor- rect Explanation: The amplitude in a sound wave corresponds to the overpressure of the compression or equivalently the underpressure of the rarefac- tion. 002 (part 1 of 1) 10 points Yellow light travels through a certain glass block at a speed of 1 . 97 × 10 8 m/s. The wavelength of the light in this particular type of glass is 3 . 81 × 10 - 7 m (381 nm). What is the frequency of the yellow light in the glass block? Correct answer: 5 . 1706 × 10 14 Hz. Explanation: Basic Concept: v = Given: v = 1 . 97 × 10 8 m / s λ = 3 . 81 × 10 - 7 m Solution: f = v λ = 1 . 97 × 10 8 m / s 3 . 81 × 10 - 7 m = 5 . 1706 × 10 14 Hz 003 (part 1 of 1) 10 points At t = 0, a transverse wave pulse in a wire is described by the function y ( x, t = 0) = 6 x 2 + 3 , where x and y are in meters. The pulse is traveling in the positive x di- rection with a speed of 4 . 5 m / s . Which of the following formulas correctly describes the pulse at time t . 1. y = 6 ( x + 4 . 5 t ) 2 + 3 2. y = 6 - 4 . 5 t x 2 + 3 3. y = - 4 . 5 t + 6 x 2 + 3 4. y = 4 . 5 t + 6 x 2 + 3 5. y = 4 . 5 t + 6 x 2 + 3 6. y = 6 ( x - 4 . 5 t ) 2 + 3 correct Explanation: For the wave traveling in the positive di- rection with the speed of 4 . 5 m / s, we need to replace x with x - 4 . 5 t which gives y = 6 ( x - 4 . 5 t ) 2 + 3 . 004 (part 1 of 1) 10 points Earthquakes produce two kinds of seismic waves: The longitudinal primary waves (called P waves) and the transverse secondary waves (called S waves). Both S waves and P waves travel through Earth’s crust and mantle, but at different speeds; the P waves are always faster than the S waves, but their exact speeds depend on depth and location.
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