CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2011

  • question_answer
    A satellite is launched into a circular orbit of radius R around the earth. A second satellite is launched into an orbit of radius 4R. The ratio of their respective periods is

    A)  4 : 1                      

    B)         1 : 8                      

    C)  8 : 1                      

    D)         1 : 4

    E)  1 : 2

    Correct Answer: B

    Solution :

    We have\[{{T}^{2}}\propto {{R}^{3}}\] \[{{R}_{1}}=r\]and\[{{R}_{2}}=4r\]                 \[\frac{T_{1}^{2}}{T_{2}^{2}}=\frac{{{(r)}^{3}}}{{{(4r)}^{3}}}\]                 \[\frac{{{T}_{1}}}{{{T}_{2}}}=\frac{1}{8}\]


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