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JEE Main & Advanced Physics Nuclear Physics And Radioactivity Question Bank Radioactivity

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    If \[{{N}_{0}}\] is the original mass of the substance of half life period \[{{T}_{1/2}}=5\] years, then the amount of substance left after 15 years is                                                                   [AIEEE 2002]

    A)            \[{{N}_{0}}/8\]                    

    B)            \[{{N}_{0}}/16\]

    C)            \[{{N}_{0}}/2\]                    

    D)            \[{{N}_{0}}/4\]

    Correct Answer: A

    Solution :

               \[N={{N}_{0}}{{\left( \frac{1}{2} \right)}^{\frac{t}{{{T}_{1/2}}}}}={{N}_{0}}{{\left( \frac{1}{2} \right)}^{\frac{15}{5}}}=\frac{{{N}_{0}}}{8}\]


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