A transverse wave is described by the equation y+asin[2pi(ft-x/lambda
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A transverse wave is described by equation
y=y_0sin2pi(ft-x/lambda)
The maximum velocity of particle will be
v_"max"="amplitude"xx2pif=y_0xx2pif
Velocity of wave v_"wave"=lamdaxxf
By the condition of the problem
v_"max"=4xx v_"wave"
=>y_0xx2pif=4xx lamdaxxf
=>lambda=(piy_0)/2
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