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MHT CET202522 Apr 2025Morning ShiftPhysicsWaves and SoundActual

Two waves of same frequency (n) are approaching each other with same velocity of 12 ~m / s along the same linear path and interfere. The distance between two consecutive nodes is

Options

  1. A12 n
  2. B6 n
  3. C12 n
  4. D6 n

Correct answer

D. 6 n

Step-by-step solution

Standing waves form when two waves of identical frequency and amplitude travel in opposite directions, with nodes being points of zero displacement. The wave relationship v = n connects velocity, frequency, and wavelength. Given v = 12 m/s, the wavelength is = 12 n m. For standing waves, consecutive nodes are separated by half the wavelength, so the distance is 2 = 1 2 12 n = 6 n m. The correct choice is 6 n .

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