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College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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--- **Wave Speed Calculation Problem** *Problem Statement:* If a wave has a wavelength of 25.4 cm and a frequency of 1.63 kHz, its speed is closest to - A. 41.4 m/s - B. 0.414 m/s - C. 41,400 m/s - D. 414 m/s *Instructions:* Click Save and Submit to save and submit. Click Save All Answers to save all answers. --- Explanation: This problem requires calculating the speed of a wave using the relationship between wavelength and frequency. The formula for wave speed \(v\) is: \[ v = \lambda \times f \] where: - \( \lambda \) is the wavelength (in meters), and - \( f \) is the frequency (in hertz). In this case: - Wavelength \( \lambda = 25.4 \text{ cm} = 0.254 \text{ m} \) - Frequency \( f = 1.63 \text{ kHz} = 1630 \text{ Hz} \) Calculate the wave speed: \[ v = \lambda \times f \] \[ v = 0.254 \text{ m} \times 1630 \text{ Hz} \] \[ v = 414.02 \text{ m/s} \] So, the closest given answer is D. \( 414 \text{ m/s} \). ---
Transcribed Image Text:--- **Wave Speed Calculation Problem** *Problem Statement:* If a wave has a wavelength of 25.4 cm and a frequency of 1.63 kHz, its speed is closest to - A. 41.4 m/s - B. 0.414 m/s - C. 41,400 m/s - D. 414 m/s *Instructions:* Click Save and Submit to save and submit. Click Save All Answers to save all answers. --- Explanation: This problem requires calculating the speed of a wave using the relationship between wavelength and frequency. The formula for wave speed \(v\) is: \[ v = \lambda \times f \] where: - \( \lambda \) is the wavelength (in meters), and - \( f \) is the frequency (in hertz). In this case: - Wavelength \( \lambda = 25.4 \text{ cm} = 0.254 \text{ m} \) - Frequency \( f = 1.63 \text{ kHz} = 1630 \text{ Hz} \) Calculate the wave speed: \[ v = \lambda \times f \] \[ v = 0.254 \text{ m} \times 1630 \text{ Hz} \] \[ v = 414.02 \text{ m/s} \] So, the closest given answer is D. \( 414 \text{ m/s} \). ---
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