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NEET AIPMT SOLVED PAPER SCREENING 2011

  • question_answer
    A planet moving along an elliptical orbit is 28 closest to the sun at a distance \[{{r}_{1}}\] and farthest away at a distance of\[{{r}_{2}}.\] If\[{{v}_{1}}\] and \[{{r}_{2}}\] are the linear velocities at these points respectively, then the ratio\[\frac{{{v}_{1}}}{{{v}_{2}}}\] is

    A) \[{{r}_{2}}/{{r}_{1}}\]    

    B)        \[{{({{r}_{2}}/{{r}_{1}})}^{2}}\]  

    C)        \[{{r}_{1}}/{{r}_{2}}\]    

    D)        \[{{({{r}_{1}}/{{r}_{2}})}^{2}}\]

    Correct Answer: D

    Solution :

    From the law of conservation of angular momentum \[m{{r}_{1}}{{v}_{1}}=m{{r}_{2}}{{v}_{2}}\] \[{{r}_{1}}{{v}_{1}}={{r}_{2}}{{v}_{2}}\] \[\frac{{{v}_{1}}}{{{v}_{2}}}=\frac{{{r}_{2}}}{{{r}_{1}}}\]


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