A 100 cm long string fixed at its two ends is plucked from the middle. The wavelength of stationary waves generated is:
Correct answer: C. 2m
- A. 0.5 m
- B. 1m
- C. 2m
- D. 3m
Explanation
A string fixed at both ends with length L = 1 m supports fundamental λ = 2L = 2 m. Plucking at midpoint excites harmonics including the fundamental, giving λ = 2 m.
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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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