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KCET2007PhysicsWaves and Sound

The maximum particle velocity in a wave motion is half the wave velocity. Then the amplitude of the wave is equal to

Options

  1. A4
  2. B2
  3. C2

Correct answer

A. 4

Step-by-step solution

For a wave, y=a 2 (v t-x) Differentiating Eq. (i) w.r.t. t , we get d y d t = 2 v a 2 (v t-x) Now, maximum velocity is obtained when 2 (v t-x)=1 v_ = ( d y d t )_ = 2 v a but v_ = v 2 v 2 = 2 v a a= 4

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