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NEET Sample Paper NEET Sample Test Paper-37

  • question_answer
    The mass of two substances are 4 gm and 9 gm respectively. If their kinetic energies are the same, then the ratio of their momenta will be

    A)  4:9         

    B)  9:4

    C)  3:2          

    D)  2:3

    Correct Answer: D

    Solution :

     We know kinetic energy of a particle \[K=\frac{1}{2}m{{v}^{2}}\] We can write \[K=\frac{1}{2}m{{v}^{2}}\times \left( \frac{m}{m} \right)=\frac{1}{2}\frac{{{m}^{2}}{{v}^{2}}}{m}=\frac{{{p}^{2}}}{2m}\] \[p=\sqrt{2mK}\Rightarrow \frac{{{p}_{1}}}{{{p}_{2}}}\sqrt{\frac{{{m}_{1}}}{{{m}_{2}}}=}\sqrt{\frac{4}{9}}=\frac{2}{3}\]


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