A) g will increase
B) g will decrease
C) Escape velocity will remain unchanged
D) Potential energy will remain unchanged
Correct Answer: B
Solution :
\[g=\frac{GM}{{{R}^{2}}},{{v}_{e}}=\sqrt{\frac{2GM}{R}}\] and \[U=\frac{-GMm}{R}\] \ \[g\propto \frac{M}{{{R}^{2}}},{{v}_{e}}\propto \sqrt{\frac{M}{R}}\] and \[U\propto \frac{M}{R}\] If both mass and radius are increased by 0.5% then \[{{v}_{e}}\] and U remains unchanged where as g decrease by 0.5%.
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