Assertion : For a system of particles under a | vedclass

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(A) In a central force field,the force acting on each particle is directed along the line joining the center of force and the particle.Since the force

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If both $Assertion$ and $Reason$ are correct and the $Reason$ is a correct explanation of the $Assertion$.

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(A) In a central force field,the force acting on each particle is directed along the line joining the center of force and the particle.Since the force is radial,the position vector $\vec{r}$ and the force vector $\vec{F}$ are collinear.The torque $\vec{	au}$ is defined as $\vec{	au} = \vec{r} 	imes \vec{F}$.Since $\vec{r}$ and $\vec{F}$ are parallel,the cross product is zero,meaning the net torque acting on the system is zero.According to the principle of conservation of angular momentum,if the net external torque acting on a system is zero,the total angular momentum $\vec{L}$ remains constant.Therefore,both the $Assertion$ and $Reason$ are correct,and the $Reason$ is the correct explanation of the $Assertion$.

$Assertion$ : For a system of particles under a central force field,the total angular momentum is conserved.
$Reason$ : The torque acting on such a system is zero.

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$Assertion$ : For a system of particles under a central force field,the total angular momentum is conserved.$Reason$ : The torque acting on such a system is zero.