The displacement of a wave is expressed as

PHYSICS · Single correct · A Level · Physics · Waves · Waves

Problem

The displacement of a wave is expressed as y(x,t)=0.1sin⁡(2πx+100πt)y(x,t)=0.1\sin(2\pi x+100\pi t), with xx in metres and tt in seconds. Which option correctly states the direction of propagation of the wave along the xx-axis and its frequency? (a) Positive x-direction,  50 Hz\text{Positive }x\text{-direction},\;50\,\text{Hz} (b) Negative x-direction,  100 Hz\text{Negative }x\text{-direction},\;100\,\text{Hz} (c) Negative x-direction,  50 Hz\text{Negative }x\text{-direction},\;50\,\text{Hz} (d) Positive x-direction,  100 Hz\text{Positive }x\text{-direction},\;100\,\text{Hz}

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