A) remain constant
B) decrease by 63%
C) increase by 63%
D) decrease by 89%
Correct Answer: D
Solution :
\[F=\frac{G{{m}_{1}}{{m}_{2}}}{{{r}^{2}}}\] And \[F=\frac{G{{m}_{1}}{{m}_{2}}}{{{(3r)}^{2}}}=\frac{F}{9}\] \[\therefore \]% decrease in\[F=\left( \frac{F-F}{F} \right)\times 100=\frac{8}{9}\times 100\] \[=89%\] Thus, attraction force between sun and earth is decreased by 89%.
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