The speed of a wave is given by which of the following formulas?

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  1. Speed = Time × Frequency
  2. Speed = Frequency × Amplitude
  3. Speed = Amplitude × Wavelength
  4. Speed = Frequency × Wavelength 

Answer (Detailed Solution Below)

Option 4 : Speed = Frequency × Wavelength 
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The Correct answer is Speed = Frequency × Wavelength.

Key Points

  • The formula Speed = Frequency × Wavelength is fundamental to understanding wave physics.
  • The speed of a wave refers to how fast the wave propagates through a medium.
  • Frequency is the number of wave cycles that pass a given point per second, measured in Hertz (Hz).
  • The wavelength is the distance between two consecutive points of similar phase on the wave, such as crest to crest, measured in meters (m).
  • This relationship is derived from the fact that the speed of a wave is the distance a wave travels per unit of time.
  • The formula is applicable to various types of waves, including sound waves, light waves, and water waves.
  • For light waves in a vacuum, the speed is constant and equals the speed of light, approximately 3 × 108 m/s.
  • The formula is crucial for calculations in fields such as optics, acoustics, and electromagnetic wave theory.
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