Moderate

In wave motion, the least distance between two points that are out of phase of π radians is:

Correct answer: D. λ/2

  • A. λ
  • B.
  • C.
  • D. λ/2

Explanation

In wave motion, the least distance between two points that are out of phase by π radians (180 degrees) is referred to as half of the wavelength (λ/2).The formula for phase difference (Δφ) in terms of wavelength (λ) is:Δφ = (path difference) / λFor two points that are out of phase by π radians:Δφ = π radiansSo, to find the path difference:π = (path difference) / λRearranging the formula to find the path difference:path difference = π * λSince we are looking for the least distance, this occurs when the path difference is equal to half of the wavelength:path difference = λ/2

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