1.

A standing wave given by the equation y=2A sin ((pix)/L) sin omegat is formed between the points x=- L and x = L The separation between two such particles, which have their maximum velocity half the maximum velocity of the antinodes and which are closest to the particle present f x=0, is L/k thon find the value of k.

Answer»

Solution :`(deltay)/(deltat)=2A omegasin ((pix)/L) COS omegat`
from THEGIVEN CONDITION `rArr 2A omegasin ((pix)/L)=A omega`
`rArr sin (pix)/L =1/2`
`rArr x= pm L/6`
HENCE separation =`L/3`


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