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JEE Main & Advanced Physics Gravitation / गुरुत्वाकर्षण Question Bank Motion of Satellite

  • question_answer
     A satellite moves round the earth in a circular orbit of radius R making one revolution per day. A second satellite moving in a circular orbit, moves round the earth once in 8 days. The radius of the orbit of the second satellite is [UPSEAT 2004]

    A) 8 R      

    B)             4R

    C)             2R       

    D)             R

    Correct Answer: B

    Solution :

         Given that, \[{{T}_{1}}=1\]day and \[{{T}_{2}}=\]8 days \ \[\frac{{{T}_{2}}}{{{T}_{1}}}={{\left( \frac{{{r}_{2}}}{{{r}_{1}}} \right)}^{3/2}}\] Þ \[\frac{{{r}_{2}}}{{{r}_{1}}}={{\left( \frac{{{T}_{2}}}{{{T}_{1}}} \right)}^{2/3}}={{\left( \frac{8}{1} \right)}^{2/3}}=4\] Þ \[{{r}_{2}}=4{{r}_{1}}=4R\]


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