A) \[8.4\text{ }m/se{{c}^{2}}\]
B) \[9.8\text{ }m/se{{c}^{2}}\]
C) \[7.2\text{ }m/se{{c}^{2}}\]
D) \[4.2\text{ }m/se{{c}^{2}}\]
Correct Answer: A
Solution :
The value of g on the surface of the earth \[g\,\,\propto \,\,\frac{1}{{{R}^{2}}}\] At height h from the surface of the earth \[g'\,\,\propto \,\,\frac{1}{{{(R+h)}^{2}}}\] \[\therefore \,\,\,\,\,g'=g\frac{{{R}^{2}}}{{{(R+h)}^{2}}}\,\,=\,\,\frac{9.8\times {{(6400)}^{^{2}}}}{{{\left( 6400+480 \right)}^{2}}}~\,\,=\,\,8.4\,\,m/{{s}^{2}}\]
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