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MHT CET202613 April 2026Morning ShiftPhysicsWaves and SoundActual

In a stationary wave, all the particles

Options

  1. Aexcept at node vibrate in S.H.M. of same period but of different amplitudes
  2. Bvibrate in S.H.M. of same period and amplitude
  3. Cexcept at nodes vibrate in S.H.M. of same period and same amplitude
  4. Dvibrate in S.H.M. of different periods and different amplitudes

Correct answer

A. except at node vibrate in S.H.M. of same period but of different amplitudes

Step-by-step solution

The equation of a stationary wave is given by y = 2A (kx) ( t) . This can be written as y = A' ( t) , where A' = 2A (kx) is the amplitude of the particle at position x . The amplitude A' depends on the position x , meaning different particles vibrate with different amplitudes. The time-dependent part ( t) is the same for all particles, indicating that they all vibrate in Simple Harmonic Motion (S.H.M.) with the same angular frequency and the same period T = 2 . At the nodes, (kx) = 0 , so the amplitude is zero and

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