A) \[7.3\times {{10}^{-7}}\text{J/kg}\]
B) \[7.3\times {{10}^{-8}}\text{J/kg}\]
C) \[7.3\times {{10}^{-9}}\text{J/kg}\]
D) \[7.3\times {{10}^{-6}}\text{J/kg}\]
Correct Answer: C
Solution :
Gravitational potential \[|V|=\frac{Gm}{r}\] So, gravitational potential at mid-point is \[V={{V}_{1}}+{{V}_{2}}\] \[=\frac{G{{m}_{1}}}{{{r}_{1}}}+\frac{G{{m}_{2}}}{{{r}_{2}}}\] \[=\frac{6.67\times {{10}^{-11}}\times 10}{1}+\frac{6.67\times {{10}^{-11}}\times 100}{1}\] \[=6.67\times {{10}^{-11}}\times 110\] \[=7.3\times {{10}^{-9}}J/kg\]You need to login to perform this action.
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