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NEET Sample Paper NEET Sample Test Paper-76

  • question_answer
    A particle of mass \[{{m}_{1}}\] is moving with a velocity \[{{v}_{1}}\] and another particle of mass \[{{m}_{2}}\] moving with a velocity\[{{v}_{2}}\]. Both of them have same momentum but different kinetic energy \[{{E}_{1}}\,\,and\,\,{{E}_{2}}\] respectively. If \[{{m}_{1}}\,\,>\,\,{{m}_{2}}\], then

    A)  \[{{E}_{1}}>{{E}_{2}}\]                   

    B)  \[{{E}_{1}}={{E}_{2}}\]

    C)  \[\frac{{{E}_{1}}}{{{E}_{2}}}=\frac{{{m}_{1}}}{{{m}_{2}}}\]                   

    D)  \[{{E}_{1}}<{{E}_{2}}\]

    Correct Answer: D

    Solution :

    \[KE=\frac{{{p}^{2}}}{2\,m}=\frac{p_{1}^{2}\,2\,{{m}_{1}}}{p_{2}^{2}\,2\,{{m}_{2}}}\,\,\Rightarrow \,\,\frac{{{E}_{1}}}{{{E}_{2}}}=\frac{{{m}_{2}}}{{{m}_{1}}}\][where, p is momentum] As \[{{m}_{1}}>{{m}_{2}}\,\,\,\Rightarrow \,\,\,{{E}_{1}}<{{E}_{2}}\]


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