A log is floating from a pier in still water

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

Problem

A log is floating 20 m20\,\text{m} from a pier in still water. Water waves of wavelength 2.0 m2.0\,\text{m} and period 4.0 s4.0\,\text{s} are produced at the pier and travel towards the log. After the waves have reached the log, choose the correct pair giving (i) the speed of the waves and (ii) the net displacement of the log from its original position. (a) 2.0 m s−12.0\,\text{m\,s}^{-1} ; 0 m0\,\text{m} (b) 0.5 m s−10.5\,\text{m\,s}^{-1} ; 0 m0\,\text{m} (c) 0.5 m s−10.5\,\text{m\,s}^{-1} ; 20 m20\,\text{m} towards the pier (d) 8.0 m s−18.0\,\text{m\,s}^{-1} ; 0 m0\,\text{m}

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