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JIPMER Jipmer Medical Solved Paper-2006

  • question_answer
    Two planets are revolving around the earth with velocities \[{{v}_{1}}\] and \[{{v}_{2}}\] in radii \[{{r}_{1}}\] and \[{{r}_{2}}\] \[({{r}_{1}}>{{r}_{2}})\] respectively. Then:

    A) \[{{v}_{1}}={{v}_{2}}\]   

    B)                                        \[{{v}_{1}}>{{v}_{2}}\]                  

    C) \[{{v}_{1}}<{{v}_{2}}\]                  

    D)        \[\frac{{{v}_{1}}}{{{r}_{1}}}=\frac{{{v}_{2}}}{{{r}_{2}}}\]

    Correct Answer: B

    Solution :

    Orbital velocity \[v=\sqrt{gr}\] \[\frac{{{v}_{1}}}{{{v}_{2}}}=\sqrt{\frac{{{r}_{1}}}{{{r}_{2}}}}\] As, \[{{r}_{1}}>{{r}_{2}}\] so, \[{{v}_{1}}>{{v}_{2}}.\]


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