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Wave Motion> what is the max kinetic energy of a longi...

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what is the max kinetic energy of a longitudnal wave in terms of density and frequency??

tarun , 7 Years ago

Grade 11

1 Answers

Norman Manchu

Last Activity: 7 Years ago

Theanswer has been derived below though you should know that kinetic energy of a particle performing SHM is maximum when x=0

$Kinetic energy=\frac{kA^{2}}{2}-\frac{kx^{2}}{2} Maximum KE =\frac{kA^{2}}{2} =\frac{mw^{2}A^{2}}{2} =\frac{\rho Vw^{2}A^{2}}{2} =\frac{\rho V4 \pi ^{2}n^{2}A^ {2}}{2} (k=mw^{2} \boldsymbol{and} w. =2 \pi n)$

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