A) remain same
B) decrease by 50%
C) decrease by 100%
D) increase by 100%
E) None of the above
Correct Answer: D
Solution :
Here, \[g=\frac{GM}{{{R}^{2}}}\] \[g=\frac{G\left( \frac{M}{2} \right)}{{{\left( \frac{R}{2} \right)}^{2}}}=\frac{2GM}{{{R}^{2}}}=2g\] \[\therefore \]% increase in\[g=\left( \frac{g-g}{g} \right)\times 100\] \[=\left( \frac{2g-g}{g} \right)\times 100=100\,%\]
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