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 $\frac{G}{d^2}$
• C. becomes $d^2$ times
• D. increases by $\frac{2G}{d^2}$

Answer 1

The correct option is B decreases by $\frac{G}{d^2}$

$F_{\left(initial\right)}=$$\frac{G.m.m}{d^2}$
$F_{\left(final\right)}=\frac{G.(m+1).(m-1)}{d^2}=\frac{G.(m^2-1)}{d^2}$

Clearly from above expressions we have a decrease in force by $\frac{G}{d^2}$.