A) \[2.45\text{ }m/{{s}^{2}}\]
B) \[4.9\text{ }m/{{s}^{2}}\]
C) \[9.8\text{ }m/{{s}^{2}}\]
D) \[19.6\text{ }m/{{s}^{2}}\]
Correct Answer: A
Solution :
\[{{R}^{|}}=2R\] We know \[{{g}_{s}}=\frac{GM}{{{R}^{2}}}\] ________ (1) \[{{g}_{h}}=\frac{GM}{{{(R+h)}^{2}}}=\frac{GM}{{{(2R)}^{2}}}\] \[\Rightarrow \]\[{{g}_{h}}=\frac{GM}{4{{R}^{2}}}\] __________ (2) From (1) and (2), we get \[{{g}_{h}}=\frac{1}{4}g=\frac{9.8}{4}=2.45\,m/{{s}^{2}}\]You need to login to perform this action.
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