A) \[2.4\times {{10}^{4}}m/s\]
B) \[1.4\times {{10}^{5}}m/s\]
C) \[3.8\times {{10}^{4}}m/s\]
D) \[2.8\times {{10}^{5}}m/s\]
Correct Answer: D
Solution :
When total mechanical energy of meteorite become 0 then meteorite will escape out \[\frac{1}{2}m{{v}^{2}}+m\,\left[ -\frac{GM}{r}-\frac{GM}{r} \right]\,\,=\,\,0\] \[{{v}^{2}}\,=\,\frac{4GM}{r}\,=\,\frac{4\times 6.67\times 3\times {{10}^{-11}}\times {{10}^{31}}}{{{10}^{11}}}\] \[v\,\,=\,\,2.8\times {{10}^{5}}\,m/s\]You need to login to perform this action.
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