A) \[\frac{3G{{m}^{2}}}{d}\]
B) \[\frac{G{{m}^{2}}}{d}\]
C) \[\frac{-3G{{m}^{2}}}{d}\]
D) none of these
Correct Answer: C
Solution :
For the system of two particle gravitational energy is given as \[U=-G{{m}_{1}}{{m}_{2}}/r\] Now, for the system of mass \[{{U}_{A}}={{U}_{12}}+{{U}_{23}}+{{U}_{31}}\] \[{{U}_{A}}==-3\frac{GMm}{d}=\frac{3G{{m}^{2}}}{d}.\] negative sign resembles that the particles are bounded by their mutual gravitational field.You need to login to perform this action.
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