Question

Two stars of masses $M$ and $m,M$ being greater than $m$, are separated by a distance $D$. At a point between the two stars, their gravitational fields are equal in magnitude but opposite in direction. At that point, a test object will feel no force. This point is :

• A. at the C.M. of the two-star system
• B. between the C.M. and the mid point between the two stars
• C. between the C.M. and the star of Mass $M$
• D. between the mid-point of the two stars and the star of mass $m$

Answer 1

The correct option is A at the C.M. of the two-star system

The gravitational field for any two unequal mass separated by a certain distance will be equal and opposite in direction at some point along the line connecting their centers. This point has to be at the center of mass of the two body system.