A stationary wave is formed in a pipe which is open at one end. If length of pipe is 5 cm, then what is the maximum possible wavelength of the wave?
Correct answer: D. 20cm
- A. 5cm
- B. 10cm
- C. 15cm
- D. 20cm
Explanation
In a pipe that is open at one end, a stationary wave can be formed when the length of the pipe is an integer multiple of one-quarter of the wavelength. In this case, the length of the pipe is 5 cm, and we need to find the maximum possible wavelength.To determine the maximum possible wavelength, we can use the relationship:wavelength = 4 * length of the pipeSubstituting the given length of the pipe:wavelength = 4 * 5 cmwavelength = 20 cmTherefore, the maximum possible wavelength of the wave is 20 cm.
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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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