Physics · Wave motion, longitudinal and transverse waves, speed of the travelling wave, displacement relation for a progressive wave

If the frequency of a sound wave is doubled then the velocity of sound will be

If the frequency of a sound wave is doubled then the velocity of sound will be

  • A. zero
  • B. half
  • C. double
  • D. unchanged

Step-by-step solution

The velocity of sound in a medium is determined by the medium's properties (e.g., density, elasticity, temperature) and is independent of frequency. According to the wave equation v = fλ, if frequency doubles, wavelength halves to keep velocity constant. Thus, the velocity remains unchanged.
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