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Option 1: The phase of the oscillating particle is the same at t = 1 s and t = 3 s. This is incorrect because the displacement versus time curve does not show any specific time values. The x-axis of the graph represents time, but there are no labels or values provided.
Option 2: The phase of the oscillating particle is the same at t = 2 s and t = 8 s. Again, this is incorrect because we cannot determine the specific time values from the graph.
Option 3: The phase of the oscillating particle is the same at t = 3 s and t = 7 s. This is the correct answer. The graph shows that the displacement of the particle reaches a particular point (e.g., maximum or minimum) at both t = 3 s and t = 7 s. This indicates that the phase, or position of the particle in its cycle, is the same at both time points.
Option 4: The phase of the oscillating particle is the same at t = 4 s and t = 10 s. Similar to the other options, this is incorrect because specific time values cannot be determined from the graph.
In conclusion, option 3 is correct because the graph indicates