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Old Homework 37 - portillo(gdp347 oldhomework 37...

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portillo (gdp347) – oldhomework 37 – Turner – (58185) 1 This print-out should have 14 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Radio waves travel at the speed of light: 3 × 10 5 km / s. What is the wavelength of radio waves re- ceived at 90 . 5 MHz on your FM radio dial? Correct answer: 3 . 31492 m. Explanation: Let : v = 3 × 10 5 km / s = 300 million m / s and f = 90 . 5 MHz = 90 . 5 million Hz . λ = v f = 300 million m / s 90 . 5 million Hz = 3 . 31492 m . 002 10.0 points Two harmonic waves are described by y 1 = A sin( k x - ω t - φ 1 ) and y 2 = A sin( k x - ω t - φ 2 ) , where k = 6 m - 1 , A = 8 m , ω = 641 rad / s , φ 1 = 0 rad , and φ 2 = 2 rad . What is the frequency of the resultant wave y = y 1 + y 2 ? Correct answer: 102 . 018 Hz. Explanation: Since sin θ 1 + sin θ 2 = sin θ 1 + θ 2 2 cos θ 1 - θ 2 2 , the resultant wave is y = y 1 + y 2 = A cos parenleftbigg φ 2 - φ 1 2 parenrightbigg × sin parenleftbigg k x - ω t - φ 1 + φ 2 2 parenrightbigg and the frequency is f = ω 2 π = 641 rad / s 2 π = 102 . 018 Hz . 003 (part 1 of 2) 10.0 points A harmonic wave in a wire has amplitude 2 . 16 mm, wavelength 2 . 3 m, and frequency 790 Hz. What is the propagation speed of the wave?
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