ARDMS (American Registry for Diagnostic Medical Sonography) Practice Test

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If the frequency is doubled, what effect will this have on the wavelength?

  1. It will remain the same.

  2. It doubles.

  3. It increases by a factor of 1.54.

  4. It is halved.

The correct answer is: It is halved.

When the frequency of a wave is doubled, according to the wave equation (speed = frequency x wavelength), the speed of the wave remains constant. Since the speed of the wave remains the same and the frequency has doubled, the only way for the equation to stay balanced is for the wavelength to be halved. Therefore, when the frequency is doubled, the wavelength is halved. This relationship between frequency and wavelength is essential in understanding how different properties of waves interact with each other.