JEE Main & Advanced AIEEE Solved Paper-2007

  • question_answer
    A radioactive element gets spilled over the floor of a room. Its half-life period is 30 days. If the initial activity is ten times the permissible value, after how many days will it be safe to enter the room?       AIEEE  Solved  Paper-2007

    A)  1000 days          

    B)         300 days

    C)  10 days               

    D)         100 days

    Correct Answer: D

    Solution :

    \[i\] \[\text{Q}=50\text{ }cal\] or    \[W=20\text{ }cal\] or     \[Q=36\] Taking log on both sides \[{{\pi }^{2}}m{{a}^{2}}{{v}^{2}}\] \[\frac{1}{4}m{{a}^{2}}{{v}^{2}}\] Time = n \[\times \] half-life \[4{{\pi }^{2}}m{{a}^{2}}{{v}^{2}}\] \[2{{\pi }^{2}}m{{a}^{2}}{{v}^{2}}\] \[{{A}_{2}}+{{B}_{2}}2AB\]


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