JEE Advance - Physics (2009 - Paper 2 Offline - No. 6)
Under the influence of the Coulomb field of charge +Q, a charge $$-$$q is moving around it in an elliptical orbit. Find out the correct statement(s):
The angular momentum of the charge $$-$$q is constant.
The linear momentum of the charge $$-$$q is constant.
The angular velocity of the charge $$-$$q is constant.
The linear speed of the charge $$-$$q is constant.
คำอธิบาย
We have,
$$\overrightarrow J = \overrightarrow r \times \overrightarrow F $$
$$|\overrightarrow J | = rF\sin 180^\circ = 0$$
Therefore, the angular momentum is conserved, that is,
$$mvr\sin \theta = $$ Constant
where $$\theta$$ is the angle between the velocity $$\overrightarrow v $$ and position vector $$\overrightarrow r $$ of $$-$$q with respect to Q.
