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

  • question_answer
    A geo-stationary satellite is orbiting the earth at a height of 6 R above the surface of earth, R being the radius of earth. The time period of another satellite at a height of 2.5 R from the surface of earth is [UPSEAT 2002; AMU (Med.) 2002; Pb. PET 2003]

    A) 10 hr   

    B)             \[(6/\sqrt{2})\,hr\]

    C)             6 hr     

    D)             \[6\sqrt{2}\,hr\]

    Correct Answer: D

    Solution :

                    Distances of the satellite from the centre are 7R and 3.5R respectively.             \[\frac{{{T}_{2}}}{{{T}_{1}}}={{\left( \frac{{{R}_{2}}}{{{R}_{1}}} \right)}^{3/2}}\,\Rightarrow {{T}_{2}}=24\,{{\left( \frac{3.5R}{7R} \right)}^{3/2}}=6\sqrt{2}\,hr\]


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