The speed of a wave on a particular string is 24ms-1. If the string is 6.0 m long to which frequencies will it resonate.
Correct answer: B. 2Hz,4Hz,6Hz
- A. 1Hz,2Hz,3Hz
- B. 2Hz,4Hz,6Hz
- C. 3Hz,6Hz,9Hz
- D. 5Hz,10Hz,15Hz
Explanation
For a string, the formula for fundamental frequency is F=nv/2l By putting values F=24/2(6)=2 HZ The overtones are: F=2(2)=4Hz F=2(3)=6Hz
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About Waves
Progressive waves transfer energy through oscillations, with wavelength, frequency, amplitude and wave speed related by v = fλ; sound speed depends on the medium. Superposition produces interference and stationary waves in strings and organ pipes, while simple harmonic motion describes the oscillation itself and must be distinguished from wave propagation.
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