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When a stationary wave is formed then its frequency is:

Correct answer: A. Same as that of the individual waves

  • A. Same as that of the individual waves
  • B. Twice that of the individual waves
  • C. Half that of the individual waves
  • D. Triple that of the individual waves

Explanation

When a stationary wave is formed, its frequency remains the same as that of the individual waves. So the correct option is (a). The frequency of the stationary wave is determined by the frequency of the individual waves that form it. The stationary wave is created by the superposition of two waves with the same frequency and amplitude traveling in opposite directions. This interference pattern results in the formation of nodes and antinodes along the wave. Remember, the frequency of a wave is a characteristic property that does not change when a stationary wave is formed. (b) Twice as that of the individual waves: This option is not correct. When a stationary wave is formed, its frequency is not twice as that of the individual waves. The frequency remains the same. (c) Half as that of the individual waves: This option is not correct either. The frequency of a stationary wave is not half as that of the individual waves. It remains the same. (d) Thrice as that of the individual waves: This option is also not correct. The frequency of a stationary wave is not thrice as that of the individual waves. It remains the same.

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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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