Assertion : For a system of particles under a | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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

Vedclass · Accepted Answer

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

Vedclass · Answer

(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.

Similar Questions

If the Earth were to suddenly contract to $\frac{1}{n}$ th of its present radius without any change in its mass,the duration of the new day will be nearly

$A$ mass of $2 \ kg$ is moving in a circular path of radius $0.8 \ m$ with an angular velocity of $44 \ rad/s$. If the radius of the path becomes $1 \ m$,the new angular velocity will be ........ $rad/s$.

$A$ thin circular ring of mass $M$ and radius $r$ is rotating about its axis with a constant angular velocity $\omega$. Two objects,each of mass $m$,are attached gently to the opposite ends of a diameter of the ring. The ring will now rotate with an angular velocity:

Vedclass Test Series

Exam Paper Generator

Online Exam Module

$Assertion$ : 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.