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  4. A particle is executing simple harmonic motion with an amplitude A and time period T. The displacement of the particle after period 2 T from its initial position is

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Q. A particle is executing simple harmonic motion with an amplitude $A$ and time period $T$. The displacement of the particle after period $2\, T$ from its initial position is

Oscillations

Solution:

The particle completes one oscillation in time $T$. Therefore, in time $2\, T$, it will complete two oscillations and will reach to its starting point, i.e., initial position. Therefore, the displacement is zero.