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MHT CET202311 May 2023Evening ShiftPhysicsWaves and SoundActual

A transverse wave in a medium is given by y=A 2( t-k x) . It is found that the magnitude of the maximum velocity of particles in the medium is equal to that of the wave velocity. What is the value of A ?

Options

  1. A2
  2. B2
  3. C4

Correct answer

3

Step-by-step solution

The given equation is y=A 2( t-k x) Velocity of the particle, v = dy dt =2 ~A 2( t - kx ) Maximum velocity =2 ~A Velocity of the wave = k Given 2A = k A= 1 2 k = (2 )^2 = 4

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