RAJASTHAN ­ PET Rajasthan PET Solved Paper-2007

  • question_answer
    Two bodies A and B having masses in the ratio of 3 : 1 possess the same kinetic energy. The ratio of linear momenta of B to A is

    A)  1 : 3            

    B)  3 : 1

    C)  1 : \[\sqrt{3}\]              

    D)  \[\sqrt{3}\]: 1

    Correct Answer: C

    Solution :

     The kinetic energy \[K=\frac{{{p}^{2}}}{2m}\] \[\frac{p_{1}^{2}}{2{{m}_{1}}}=\frac{p_{2}^{2}}{2{{m}_{2}}}\] \[\frac{{{p}_{1}}}{{{p}_{2}}}=\sqrt{\frac{{{m}_{1}}}{{{m}_{2}}}}=\sqrt{\frac{3}{1}}\] \[\frac{{{p}_{1}}}{{{p}_{2}}}=\frac{1}{\sqrt{3}}\]


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