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AFMC AFMC Solved Paper-2002

  • question_answer
    Two masses mA and \[{{m}_{B}}\]moving with velocities \[{{v}_{A}}\]and \[{{V}_{B}}\] in opposite directions collide elastically. After that the masses mA and mg move with velocities \[{{V}_{B}}\] and \[{{V}_{A}}\]respectively, Then the ratio \[\frac{{{m}_{A}}}{{{m}_{B}}}\]is:

    A) \[\frac{{{V}_{A}}-{{V}_{B}}}{{{V}_{A}}+{{V}_{B}}}\]                         

    B) \[\frac{{{V}_{A}}+{{V}_{B}}}{{{V}_{A}}-{{V}_{B}}}\]

    C) \[\frac{{{V}_{A}}}{{{V}_{B}}}\]                                  

    D) 1

    Correct Answer: D

    Solution :

    An elastic collision is one in which both kinetic energy and momentum remain conserved before and after collision. \[{{m}_{1}}{{u}_{1}}={{m}_{2}}{{u}_{2}}={{m}_{1}}{{v}_{1}}+{{m}_{2}}{{v}_{2}}\] Given,       \[{{m}_{1}}={{m}_{A}},{{m}_{2}}={{m}_{B}}\]


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