The time period of a particle in simple harmonic motion is equal to the time between consecutive appearances of the particle at a particular point in its motion. This point is
(a) the mean position
(b) an extreme position
(c) between the mean position and the positive extreme
(d) between the mean position and the negative extreme
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The particular point is an extreme position.
Explanation:
A simple harmonic motion of the particle (around its average position) the particle oscillates between two extreme positions.
After some time, the particles cross the extreme point exactly once (i.e. they cross it) ... But they pass (cross) all the other points twice.
This is the reason for choosing the extreme point as a reference in the above question.
Therefore, the correct answer is (b) an extreme position.
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