A) About 1.5%
B) About 5%
C) About 8%
D) About 3%
Correct Answer: D
Solution :
Here, \[{{R}_{e}}=600\text{ }km\] \[h=100\text{ }km\] Acceleration due to gravity at height, h \[g=\frac{gR_{e}^{2}}{{{({{R}_{e}}+h)}^{2}}}\] \[g=\frac{g{{(6400)}^{2}}}{{{(6400+100)}^{2}}}\] \[=g{{\left( \frac{6400}{6500} \right)}^{2}}\] Percentage change in acceleration due to gravity \[=\frac{g-g}{g}\times 100%\] \[=\left( 1-\frac{g}{g} \right)\times 100%\] \[={{\left[ 1-\frac{6400}{6500} \right]}^{2}}\times 100%\] \[=3.05%\]
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