Q1: A particle moving with a simple harmonic motion, attains its maximum velocity when it passes

ANS:B - through the mean position

A particle moving with simple harmonic motion attains its maximum velocity when it passes through the mean position. In simple harmonic motion (SHM), the velocity of the particle is at its maximum when it passes through the mean position, not at the extreme points of the oscillation or at points halfway between the mean position and the extreme points. At the mean position, the restoring force is at its maximum, causing the particle to accelerate most rapidly, resulting in maximum velocity. As the particle moves away from the mean position, the restoring force decreases, causing the velocity to decrease until it reaches zero at the extreme points. Then, as it returns toward the mean position, the restoring force increases again, causing the velocity to increase until it reaches its maximum at the mean position. Therefore, the correct statement is: A particle moving with simple harmonic motion attains its maximum velocity when it passes through the mean position.