# Agular momentum of the particle rotating with a central force is constant due to Option 1) Constant torque Option 2) constant force Option 3) constant linear momentum Option 4) zero torque

Torque -

$\underset{\tau }{\rightarrow}= \underset{r}{\rightarrow}\times \underset{F}{\rightarrow}$

- wherein

This can be calculated by using either  $\tau=r_{1}F\; or\; \tau=r\cdot F_{1}$

$r_{1}$ = perpendicular distance from origin to the line of force.

$F_{1}$ = component of force perpendicular to line joining force.

Central forces passes through axis of rotation so torque is zero.

If no external torque is acting on a particle, the angular momentum of a particle is constant.

Option 1)

Constant torque

It is an incorrect option.

Option 2)

constant force

It is an incorrect option.

Option 3)

constant linear momentum

It is an incorrect option

Option 4)

zero torque

It is the correct option.

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