When a particle moves in a circular path with decreasing linear speed, it experiences a tangential acceleration directed opposite to its velocity, causing it to slow down. This deceleration results in a reduction of the particle’s angular momentum over time. Thus, the angular momentum of the particle is not conserved in this scenario.

If the speed of the particle were constant, then it would only have centripetal acceleration toward the center of the circle, so it would have a constant angular momentum. In this case, the existence of tangential acceleration means that the speed of the particle, and hence its angular momentum, will change.

Therefore, the correct statement is that the angular momentum of the particle is not conserved while it moves in a circular path with decreasing linear speed.

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