1.

Two particles are executing simple harmonic motion of the same amplitude A and frequency omega along the x-axis. Their mean position is separated by distance X_(0)(X_(0)gt A). If the maximum separation between them is (X_(0)+A), the phase difference between their motion is

Answer»

`(PI)/(3)`
`(pi)/(4)`
`(pi)/(6)`
`(pi)/(2)`.

Solution :LET `x_(1)=A sin omega t` and `x_(2)=A sin (omega t+phi)`
`x_(2)-x_(1)=2A COS (omegat+(phi)/(2))sin""(phi)/(2)`
But 2A `sin""(phi)/(2)=Aimpliesphi=(pi)/(3)`
Correct chice : (a).


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