Praxis II General Science

Category - Physics

Alan has tuned his radio to 101.5 FM, which is 101.5 Khz. If the wavelength of this frequency is about 1 meter, then how long does it take music to reach him from his radio station 10 km away?
  1. 0.0001 seconds
  2. 0.001 seconds
  3. 0.01 seconds
  4. 0.1 seconds
  5. 0.28 seconds
Explanation
Answer: A - The radio wave travels very quickly, and will reach Alan in 0.1 seconds (actually just a bit less). In the wave equation, v = λ*f, so v = 101,500 * 1, or 101,500 m/s. Thus, the time it takes to travel 10 km is 10,000 m / 101,500 m/s, or about 0.098, rounded to 0.1 seconds.
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