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  • A satellite is moving round the earth. In order to make it move to infinity its speed must be increased by  Option: 1 <img alt="20.7 \%"

A satellite is moving round the earth. In order to make it move to infinity its speed must be increased by
 

Option: 1

20.7 \%

 


Option: 2

41.4 \%
 


Option: 3

82.8 \%
 


Option: 4

it is not possible to do so


Answers (1)

best_answer

\mathrm{ \mathrm{v}=\sqrt{\frac{\mathrm{GM}}{\mathrm{r}}} \: \&\: \mathrm{v}_{\mathrm{e}}=\sqrt{\frac{2 \mathrm{GM}}{\mathrm{r}}} }

\mathrm{ \frac{\mathrm{v}_{\mathrm{e}}-\mathrm{v}}{\mathrm{v}}=\sqrt{\frac{2 \mathrm{GM}}{\mathrm{r}}}-\sqrt{\frac{\frac{\mathrm{GM}}{\mathrm{r}}}{\frac{\mathrm{GM}}{\mathrm{r}}}} }

\mathrm{ =\frac{\sqrt{2}-1}{1}=0.414 \text { or } 41.4 \% }

Hence option 2 is correct.

 

Posted by

Devendra Khairwa

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