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Mechanical Properties Of Fluids

Question
CBSEENPH11020687
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A transverse wave os represented by y = A sin (ωt - kx). For what value of the wavelength is the wave velocity equal to the maximum particle velocity?

  • π A /2

  •  π A

  • 2πA

  • A

Solution

C.

2πA

Wave velocity 
straight v space equals straight lambda over straight T space equals space fraction numerator ωλ over denominator 2 straight pi end fraction Maximum space particle space velocity space left parenthesis straight v subscript max right parenthesis subscript straight p space equals space Aω Given comma space straight v equals space left parenthesis straight v subscript max right parenthesis subscript straight p fraction numerator ωλ over denominator 2 straight pi end fraction space equals Aω rightwards double arrow space straight lambda space equals space 2 straight pi space straight A

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