Homework 19 Solutions

# Homework 19 Solutions - lim(kl9356 Homework 19...

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lim (kl9356) – Homework 19 – Weathers – (17104) 1 This print-out should have 9 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 87 . 7 MHz on your FM radio dial? Correct answer: 3 . 42075 m. Explanation: Let : v = 3 × 10 5 km / s = 300 million m / s and f = 87 . 7 MHz = 87 . 7 million Hz . λ = v f = 300 million m / s 87 . 7 million Hz = 3 . 42075 m . keywords: 002 10.0 points A harmonic wave is traveling along a rope. It is observed that the oscillator that generates the wave completes 41 . 6 vibrations in 34 . 9 s. Also, a given maximum travels 428 cm along the rope in 8 . 7 s. What is the wavelength? Correct answer: 41 . 2721 cm. Explanation: Given : n = 41 . 6 vibrations , t 1 = 34 . 9 s , Δ x = 428 cm , and t 2 = 8 . 7 s . The speed of the wave is v = Δ x t 2 and the frequency is f = n t 1 or T = t 1 n , so λ = v f = v 1 f = v T = Δ x t 2 t 1 n = (428 cm) (34 . 9 s) (8 . 7 s) (41 . 6) = 41 . 2721 cm .

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