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WB JEE Medical WB JEE Medical Solved Paper-2009

  • question_answer
    Two particles have masses m and 4m and their kinetic energies are in the ratio 2:1. What is the ratio of their linear momenta?

    A)  \[\frac{1}{\sqrt{2}}\]                                    

    B)  \[\frac{1}{2}\]

    C)  \[\frac{1}{4}\]                                  

    D)  \[\frac{1}{16}\]

    Correct Answer: A

    Solution :

                     As          \[KE=\frac{{{p}^{2}}}{2m}\] \[\therefore \]    \[\frac{p_{1}^{2}}{p_{2}^{2}}=\frac{{{m}_{1}}}{{{m}_{2}}}.\frac{KE}{K{{E}_{2}}}=\frac{1}{4}.\frac{2}{1}=\frac{1}{2}\] \[\Rightarrow \]               \[\frac{{{p}_{1}}}{{{p}_{2}}}=\frac{1}{\sqrt{2}}\]


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