1.

Standing waves are established on a string of length L such that A is a node and B is an immediate anti node. Oscillation amplitude of point B is a_(0). Let a' be the oscillation amplitude for point C. Pick the suitable option (s) for correct value of a' and the possible equation (s) for standing waves on the string.

Answer»

`a'=(a_(0))/2`
`y=a_(0) sin ((6pi)/L x) cos(OMEGAT)`
`a'=a_(0)`
`y=a_(0)sin((3pix)/L)sin (omegat)`

Solution :`y=a_(0)sin(kx)sin(omegat+phi)`
`(KL)/3=npi` and `(kL)/2=(n+1/2)PI`
`impliesn=1, k=(3pi)/L`
Also: `a'=|a_(0)sin((3pi)/Lxx(5L)/6)|=a_(0)`


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