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