In standing wave if k = C/2 in case of string when the number of loops are:
Correct answer: D. Four
- A. One
- B. Two
- C. Three
- D. Four
Explanation
In a standing wave on a string, the wave number 'k' is related to the number of loops (or antinodes) and the wavelength. The equation k = 2π/λ can be applied here, where λ is the wavelength. For the given condition k = C/2, to satisfy this, the number of loops must be such that the string accommodates two full wavelengths, which results in four loops. Hence, Option D is correct. Options A, B, and C do not satisfy the condition as they correspond to fewer waves fitting in the string, resulting in different values of k.
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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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