While a particle executes linear simple harmonic motion

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its linear velocity and acceleration pass through their maximum and minimum values once in each oscillation.

its linear velocity and acceleration pass through their maximum and minimum values twice in each oscillation.

its linear velocity and acceleration pass through their maximum and minimum values four times in each oscillation.

its linear velocity and acceleration always attain their peak values simultaneously.

answer is B.

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Detailed Solution

He velocity is minimum (zero) at the extreme position and maximum (± ωA) at the mean position. The acceleration is maximum (±ω2 A) at the extreme positions and minimum (zero) at the mean position. Since the particle crosses the mean and extreme positions twice, during each oscillation, hence the result.

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