A) \[R/\left( \frac{gR}{2{{V}^{2}}}-1 \right)\]
B) \[{{R}_{{}}}\left( \frac{gR}{2{{V}^{2}}}-1 \right)\]
C) \[R/\left( \frac{gR}{2{{V}^{2}}}-1 \right)\]
D) \[R\left( \frac{2gR}{{{V}^{2}}}-1 \right)\]
Correct Answer: C
Solution :
[c] \[\Delta K.E.=\Delta U\] \[\Rightarrow \frac{1}{2}M{{V}^{2}}=G{{M}_{e}}M\left( \frac{1}{R}-\frac{1}{R+h} \right)\] (i) Also \[g=\frac{G{{M}_{e}}}{{{R}^{2}}}\] (ii) On solving (i) and (ii), \[h=\frac{R}{\left( \frac{2gR}{{{V}^{2}}}-1 \right)}\]You need to login to perform this action.
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