Assertion: The motion of a particle under the central force is always confined to a plane.
Reason: Angular momentum is always conserved in the motion under a central force.

Options

A. If both assertion and reason are true and reason is the correct explanation of assertion
B. If both assertion and reason are truebut reason is not the correct explanation of assertion
C. If assertion is true but reason is false
D. If both assertion and reason are false.

Answer

A

Explanation

(a) A central force is always directd towards or away from a fixed point, along the point of application of the force with respect to the fixed point. In motion of a particular under the central force the angular momentum is always conserved. From this, it follows that the motion of a particular under the central force is always confined to a plane.