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  • The orbital angular momentum of a satellite is ,  when it is revolving in a circular orbit at hei

The orbital angular momentum of a satellite is \mathrm{L},  when it is revolving in a circular orbit at height h from earth surface. If the distance of satellite from the earth center is increased by eight times to its initial value, then the new angular momentum will be-

Option: 1

8 \mathrm{~L}


Option: 2

3 \mathrm{L}


Option: 3

4 \mathrm{L}


Option: 4

9 \mathrm{L}


Answers (1)

best_answer

\mathrm{L}^{=} \operatorname{mv}_{0} \mathrm{r}\left(\mathrm{v}_{0}=\sqrt{\frac{G M}{h}}\right)
\mathrm{L}^{\prime}=\mathrm{m} \sqrt{\mathrm{GMh}}\quad \quad \dots (1)
\mathrm{h}^{\prime} \rightarrow \mathrm{h}+8 \mathrm{~h}=9 \mathrm{~h}

\mathrm{~L}^{\prime}=\mathrm{m} \sqrt{\mathrm{GM} 9 \mathrm{~h}}\quad \quad \dots (2)
\mathrm{\frac{{L}'}{L}}=3
\mathrm{~L}^{\prime}=3L

Posted by

Kshitij

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