Question

Two equal masses separated by a distance d attract each other with a force (F). If one unit of mass is transferred from one of them to the Other, the force

• A. does not change
• B. decreases by $(G/d^2)$
• C. becomes $d^2$ times
• D. increases by $(2G/d^2)$

Answer 1

Answer: (B)

$ F _{(\text {initial) }}=\frac{\text { G.m.m }}{ d ^{2}} \\ F _{(\text {final })}=\frac{\text { G. }( m +1) \cdot( m -1)}{ d ^{2}}=\frac{ G \cdot\left( m ^{2}-1\right)}{ d ^{2}}$
Clearly from above expressions we have a decrease in force by $\frac{ G }{ d ^{2}}$.