JEE Main & Advanced Sample Paper JEE Main - Mock Test - 24

  • question_answer
    A nucleus disintegrates into two nuclear parts which have their velocities in the ratio \[2:1\]. Ratio of their nuclear sizes will be

    A) \[{{2}^{173}}:1\]        

    B)        \[1\, :\, {{3}^{172}}\]  

    C) \[{{3}^{172}}:1\]        

    D)        \[1: {{2}^{173}}\]

    Correct Answer: D

    Solution :

    \[{{p}_{1}}={{p}_{2}}\] \[{{\operator name{m}}_{1}}{{v}_{1}}=\,\,{{m}_{2}}{{v}_{2}}\] \[2{{m}_{1}}={{m}_{2}}\] \[2\rho .\frac{4}{3}\pi R_{1}^{3}=\rho .\frac{4}{3}\pi R_{2}^{3};\,\,\frac{R_{1}^{3}}{R_{2}^{3}}=1\,\,:\,\,2;\,\,{{R}_{1}}:{{R}_{2}}=1:{{2}^{1/3}}\]


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