The string of length "E" fixed at both ends is, vibrating in two segments, the wavelength of wave is:
Correct answer: C. E
- A. E / 2
- B. 2E
- C. E
- D. 4E
Explanation
For a string fixed at both ends, standing waves are formed with nodes at each end. When a string vibrates in two segments, it means there is one antinode in the middle and nodes at the ends. This corresponds to the string vibrating in its fundamental frequency where the wavelength is twice the segment length, hence the wavelength is equal to the string's length E. Therefore, the correct answer is E. Other options, like E/2 or 4E, do not match the physical scenario described and hence are incorrect.
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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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