Q. Choose the correct statement about the centre of mass $(CM)$ of a system of two particles
A) The $CM$ lies on the line joining the two particles midway between them
B) The $CM$ lies on the line joining them at a point whose distance from each particle is inversely proportional to the mass of that particle
C) The $CM$ lies on the line joining them at a point whose distance from each particle is proportional to the square of the mass of that particle
D) The $CM$ is on the line joining them at a point whose distance from each particle is proportional to the mass of that particle
Explanation
(b) We know $m_{1}r_{1} = m_{2}r_{2} \Rightarrow m \times r =$ constant $\therefore r \propto \frac{1}{m}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.