A) 32 km
B) 64 km
C) 128 km
D) 256 km
Correct Answer: B
Solution :
Here, \[\Delta g =[{{g}_{\left( at earths surface \right)}} -\,\,g{{\,}_{(at height\,h)}}]\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\Delta g =g-g\left[ 1-\frac{2h}{{{\operatorname{R}}_{earth}}} \right]\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\Delta g =g-g\,\,+\,\,\frac{2gh}{{{\operatorname{R}}_{earth}}}\] \[\Delta g =\,\,\frac{2gh}{{{\operatorname{R}}_{earth}}}\] \[\frac{\Delta g}{g} =\,\,\frac{2h}{{{\operatorname{R}}_{earth}}}\,\,\,\Rightarrow \,\,\,\frac{2}{100}\,\,=\,\,\frac{2h}{6400}\] \[h =64 km\]
You need to login to perform this action.
You will be redirected in
3 sec
