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Question Number 4634 by sanusihammed last updated on 16/Feb/16

Y^1  = Asin(6x − 10t)    Y^2  = Asin(3x − 9t)    Show that the medium is dispersive. If this two waves    superpose obtain both the phase velocity and group velocity   of a combine disturbance.

$${Y}^{\mathrm{1}} \:=\:{Asin}\left(\mathrm{6}{x}\:−\:\mathrm{10}{t}\right) \\ $$$$ \\ $$$${Y}^{\mathrm{2}} \:=\:{Asin}\left(\mathrm{3}{x}\:−\:\mathrm{9}{t}\right) \\ $$$$ \\ $$$${Show}\:{that}\:{the}\:{medium}\:{is}\:{dispersive}.\:{If}\:{this}\:{two}\:{waves}\:\: \\ $$$${superpose}\:{obtain}\:{both}\:{the}\:{phase}\:{velocity}\:{and}\:{group}\:{velocity}\: \\ $$$${of}\:{a}\:{combine}\:{disturbance}. \\ $$

Commented by Yozzii last updated on 17/Feb/16

Physics/Engineering?

$${Physics}/{Engineering}? \\ $$

Commented by sanusihammed last updated on 17/Feb/16

yes

$${yes} \\ $$

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