Q143 / 160 · TS EAMCET 2021 (05 Aug Shift 1) · Physics

A sound wave of frequency 200 Hz is travelling in air. The speed of sound in the air is 340 m s-1. What is the phase difference at a given instant between two points separated by a distance of 85 cm along the direction of propagation?

  • Correct answer
    A
    π
  • B
    2π
  • C
    π2
  • D
    π4

Solution

First find out the value of the wavelength of the given data, here frequency, f=200 Hz, and speed of the sound wave, v=340 m s-1, it means the wavelength, 
λ=vf=340200=1.7 m, it means the phase difference, 
∆ϕ=2πλ×∆x⇒∆ϕ=2π1.7×0.85=π

Hence, the correct answer is option: 'A'.

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