A) \[\frac{{{N}^{2}}{{\operatorname{R}}_{E}}}{{{N}^{2}}-1}\]
B) \[\frac{N{{\operatorname{R}}_{E}}}{{{N}^{2}}-1}\]
C) \[\frac{{{\operatorname{R}}_{E}}}{{{N}^{2}}-1}\]
D) \[\frac{{{\operatorname{R}}_{E}}}{{{N}^{2}}}\]
Correct Answer: C
Solution :
[c] By conservation of energy \[-\frac{GMm}{{{R}_{E}}}\text{+}\frac{1}{2}\frac{m}{{{N}^{2}}}\frac{GM}{2{{R}_{E}}}\text{=-}\frac{GMm}{H}\] \[\Rightarrow H=\frac{{{N}^{2}}{{R}_{E}}}{{{N}^{2}}-1}\] Altitude \[=H-R=\frac{{{R}_{E}}}{{{N}^{2}}-1}\]You need to login to perform this action.
You will be redirected in
3 sec