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Question

Physics Question on System of Particles & Rotational Motion

In an orbital motion, the angular momentum vector is

A

along the radius vector

B

parallel to the linear momentum

C

in the orbital plane

D

perpendicular to the orbital plane

Answer

perpendicular to the orbital plane

Explanation

Solution

If a body is rotating about a given axis, then the sum of the moments of the linear momentum of all the particles is known as the angular momentumof the body about that axis.

Angular momentum of the bodyJ=Iω=mrvJ=I \omega=m r v

Since the direction of velocityis perpendicular to the orbital plane JvJ \propto v, hence, in an orbital motion, the angular momentum vector is perpendicular to the orbital plane.