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The equation of a transverse wave travelling along a string is y(x, t)=4.0 [20 10⁻³ x+600 t ] mm , where x is in mm and t is in second. The velocity of the wave is :

Options

  1. A-60 ~m / s
  2. B-30 ~m / s
  3. C+30 ~m / s
  4. D+60 ~m / s

Correct answer

B. -30 ~m / s

Step-by-step solution

aligned & k=20 10⁻³ ~mm ⁻¹=20 ~m ⁻¹ & w=600 ~s ⁻¹ & v= W k = 600 20 =30 ~m / s aligned and x & t carry same sign Therefore v =-30 ~m / s

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