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Two satellites of masses \mathrm{m_1\: and \: m_2\left(m_1>m_2\right)} are revolving round the earth in circular orbits of radii \mathrm{r_1} and \mathrm{r_2\left(r_1>r_2\right)} respectively. Which of the following statements is true regarding their speeds \mathrm{v_1 \: and \: v_2} ?
 

Option: 1

\mathrm{v_1=v_2}

 


Option: 2

\mathrm{\mathrm{V}_1<\mathrm{V}_2}
 


Option: 3

\mathrm{v_1>v_2}
 


Option: 4

\left(\mathrm{v}_1 / \mathrm{r}_1\right)=\left(\mathrm{v}_2 / \mathrm{r}_2\right)


Answers (1)

best_answer

\mathrm{v=\sqrt{\frac{G M}{r}} ; M=\text { mass of earth } }

\mathrm{\Rightarrow \frac{v_1}{v_2}=\sqrt{\frac{r_2}{r_1}}<1}

Hence option 2 is correct.

 

Posted by

Ajit Kumar Dubey

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