A wave on a string is described by

PHYSICS · Single correct · CBSE · Physics · Waves · Waves

Problem

A wave on a string is described by y=0.02 sin⁡ (5x−200t)y = 0.02\,\sin\,(5x - 200t), where xx and yy are in metres and tt in seconds. Find the instantaneous particle velocity at x=0.50 mx = 0.50\,\text{m} and t=0.010 st = 0.010\,\text{s}. (a) −1.8 m s−1-1.8\,\text{m s}^{-1} (b) +3.5 m s−1+3.5\,\text{m s}^{-1} (c) −3.5 m s−1-3.5\,\text{m s}^{-1} (d) −4.0 m s−1-4.0\,\text{m s}^{-1}

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