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Q.

While a particle executes linear simple harmonic motion

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a

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

b

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

c

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

d

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

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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