Answer:
Since, the particles while moving
with constant speed \[\upsilon \], are always at a constant distance d, they
must be at the two ends of the diameter of a circular path. The diameter of
this circular path = d. Each particle will return to its initial position after
describing a circular path = \[2\pi r=\pi d\] (\[\because
\,\,2r=d\])
Time interval after
which each particle will return to its initial position = distance
travelled/speed = \[\pi \,d/\upsilon \]
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