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(D) central force is a force that is always directed towards or away from a fixed point (the center). For a particle moving in a circular path under t

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The torque is zero.

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(D) central force is a force that is always directed towards or away from a fixed point (the center). For a particle moving in a circular path under the influence of a central force,the force vector passes through the center of the circle. The torque $\vec{	au}$ is defined as $\vec{	au} = \vec{r} 	imes \vec{F}$. Since the force $\vec{F}$ is directed towards the center,the position vector $\vec{r}$ and the force vector $\vec{F}$ are collinear (the angle between them is $180^{\circ}$ or $0^{\circ}$). Therefore,the cross product $\vec{r} 	imes \vec{F} = 0$,which means the torque acting on the particle is zero. According to the relation $\vec{	au} = \frac{d\vec{L}}{dt}$,if the external torque is zero,the rate of change of angular momentum is zero,implying that the angular momentum $\vec{L}$ remains constant.

For a particle moving in a circular path under the influence of a central force,the angular momentum remains constant because .......

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