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NEET Sample Paper NEET Sample Test Paper-7

  • question_answer
    A planet is moving in an elliptical path around the sun as shown in figure. Speed of planed in positions P and Q are \[{{V}_{1}}\] and \[{{V}_{2}}\]respectively with \[{{S}_{P}}={{r}_{1}}\]and \[{{S}_{Q}}={{r}_{2}},\] then \[{{V}_{1}}/{{V}_{2}}\]is equal to:

    A)  \[\frac{{{r}_{1}}}{{{r}_{2}}}\]                            

    B)  \[\frac{{{r}_{2}}}{{{r}_{1}}}\]

    C)  constant                     

    D)  \[{{\left( \frac{{{r}_{1}}}{{{r}_{2}}} \right)}^{2}}\]

    Correct Answer: B

    Solution :

    As we know that, for the planet, the angular momentum is constant i.e. \[\Rightarrow \]            L = constant             \[m{{V}_{1}}{{r}_{1}}=m{{V}_{2}}{{r}_{2}}\] \[\Rightarrow \]               \[\frac{{{V}_{1}}}{{{V}_{2}}}=\frac{{{r}_{2}}}{{{r}_{1}}}\]


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