Question

Match the Columns:

Column 1	Column 2
Point in a body	$-F_{BA}$
$F_{AB}$	Geometric centre
Spherical body	Centre of mass

Answer 1

Part A:

1. Centre of mass of a body or system of a particle is defined as, a point at which the whole of the mass of the body or all the masses of a system of particles appeared to be concentrated.
2. It is the mean location of a distribution of mass in space.

Thus, (A) - (III)

Part B:

1. Newton's Law of Universal Gravitation states that every particle attracts every other particle in the universe with force directly proportional to the product of the masses and inversely proportional to the square of the distance between them.
2. Thus force on object A by object B is equal to the force on object B by object A.
3. $F_{AB}=-F_{BA}$

Thus, (B) - (I)

Part C:

1. Centre of mass of a body or system of a particle is defined as, a point at which the whole of the mass of the body or all the masses of a system of particles appeared to be concentrated.
2. Centre of mass of a sphere lies at its geometrical center.

Thus, (C) - (II)

Hence, the correct answer is A-III, B-I, and C-II.