Which one is the correct relation for one end closed pipe:
Correct answer: C. λn = 4L/n
- A. λn = 2L/n
- B. λn = 3L/n
- C. λn = 4L/n
- D. λn = L/n
Explanation
The correct relation for the wavelength of a stationary wave in a closed-end organ pipe is given by λn = 4L/n. This formula accounts for the fact that a closed-end pipe supports only odd harmonics, due to the boundary condition that one end is closed. The correct option, Option C, accurately represents this relationship. The other options are incorrect because they either do not consider the factor of 4 or misrepresent the harmonics that can be supported by a closed-end pipe.
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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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