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9th Class Science Gravitation and Floatation Question Bank Gravitation Summative Objective Problems

  • question_answer
    A gee-stationary satellite is orbiting the earth at a height of 6R above the surface of the earth, where R is the radius of the earth. The time period of another satellite at a height of 2.5 R from the surface of the earth is ......hours.

    A)  6.45      

    B)  4.45 

    C)  10                                         

    D)  8.75

    Correct Answer: A

    Solution :

      According to Kepler?s law \[\frac{T_{1}^{2}}{T_{2}^{2}}=\frac{R_{1}^{3}}{R_{2}^{3}}\Rightarrow \frac{24\times 24}{T_{2}^{2}}=\frac{6\times 6\times 6\times {{R}^{3}}}{2.5\times 2.5\times 2.5\times {{R}^{3}}}\] \[\Rightarrow T_{2}^{2}=\frac{24\times 24\times 2.5\times 2.5\times 2.5}{6\times 6\times 6}=6.45\,\,Hour\]    


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