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JEE PHYSICS MCQ: OSCILLATIONS

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Analyzing +4 | -1
The displacement of a particle executing periodic motion is given by y=4cos⁡2(t/2)sin⁡(1000t)y=4 \cos ^2(t / 2) \sin (1000 t). Find the independent constituent SHM's.
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Correct option: A
sin⁡(1001t),sin⁡(1000t),sin⁡(999t)\sin (1001 t), \sin (1000 t), \sin (999 t)
Option A (sin⁡(1001t),sin⁡(1000t),sin⁡(999t)\sin (1001 t), \sin (1000 t), \sin (999 t)) is correct because the given equation can be simplified using trigonometric identities to a sum of these three sine functions.

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