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Q. Displacement versus time curve for a particle executing SHM is shown in figure. Choose the correct statements.Physics Question Image

Oscillations

Solution:

It is clear from the curve that points corresponding to $t=2 s$ and $t=6 s$ are separated by a distance $\lambda$ belongs to one time period. Hence, these points must be in same phase.
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Similarly, points belonging to $t=0 s$ and $t=2 s$ are separated by half the distance that belongs to one time period. Hence, they are not in phase.
However, points belonging to $t=3 s$ and $t=5 s$ or $t=1 s$ and $7 s$ are at separation of different time period, hence they must not be in phase.