MHT CET2008PhysicsWaves and Sound

A wave travelling along a string is described by the equation y=A ( t-k x) The maximum particle velocity is

Options

AA
B/ k
Cd / d k
Dx / l

Correct answer

A. A

Step-by-step solution

Given that, the displacement of a particle is y=A ( t-k x) ...(i) The particle velocity v_ p = d y d t ...(ii) Now, on differentiating Eq. (i) w.r.t, t , aligned & d y d t =A ( t-k x) & d y d t =A ( t-k x) aligned From Eq. (ii) v_ p =A ( t-k x) For maximum particle velocity, ( t-k x)=1 So, v_ p =A 1 v_ p =A

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