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A travelling wave in a stretched string is described by the equation `y = A sin (kx - omegat)` the maximum particle velocity isA. `A omega`B. `omega//k`C. `dx//dk`D. `x//1` |
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Answer» Correct Answer - A Given that, the displacement of a particle is `y=A sin (omega t=kx)` ...(i) The particle velocity, `v_(p)=(dy)/(dt)` ...(ii) Now, on differentiating Eq. (i) with respect to t, `(dy)/(dt)= A cos (omega t-kx)xx omega` `implies (dy)/(dt)= A omega cos (omega t-kx)` From Eq. (ii), we get `implies v_(p)= A omega cos (omega t-kx)` For maximum particle velocity, `cos (omega t-kx)=1` So, `v_(p)=A omega xx1 implies v_(p)=A omega` |
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