A sound wave of frequency 400 Hz is travelling in a gas at a speed of 320 ms-1. What is the phase difference between two points 0.2 m apart in the direction of the travel?

Correct answer: B. n/2 rad

  • A. n/1 rad
  • B. n/2 rad
  • C. 2n/5 rad
  • D. 4n/5 rad

Explanation

The phase difference between two points in a wave is given by the formula: ∆φ = 2π∆x/λ. In this case, the phase difference between points 0.2m apart can be calculated to be π/2 radians. This is because the wavelength of the sound wave is 0.8m, and the distance between the two points is 0.2m. Therefore, the correct answer is Option B. The other options are incorrect because they do not represent the accurate phase difference based on the given values.

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