Two bodies $A$ and $B$ of masses $10 \,kg$ and $15\, kg$ respectively kept on a smooth, horizontal surface are tied to the ends of a light string. If T represents the tension in the string when a horizontal force $F=500 \,N$ is applied to $A$ (as shown in figure $1$) and $T$ be the tension when it is applied to $B$ (figure $2$), then which of the following is true?
