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

  • question_answer
    Which is the correct expression for half-life  [CBSE PMT 2000]

    A)            \[{{(t)}_{1/2}}=\log 2\]    

    B)            \[{{(t)}_{1/2}}=\frac{\lambda }{\log 2}\]

    C)            \[{{(t)}_{1/2}}=\frac{\lambda }{\log \,\text{2}}(2.303)\]     

    D)            \[{{(t)}_{1/2}}=\frac{2.303\text{ log 2}}{\lambda }\]

    Correct Answer: D

    Solution :

               \[{{T}_{1/2}}=\frac{{{\log }_{e}}2}{\lambda }=\frac{2.303{{\log }_{10}}2}{\lambda }\]


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