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CMC Medical CMC-Medical VELLORE Solved Paper-2014

  • question_answer
    The decay constant of a radio isotopes is\[\lambda \]. If \[{{A}_{1}}\] and \[{{A}_{2}}\] are its activities at times \[{{t}_{1}}\] and \[{{t}_{2}}\] respectively . The number of nuclei, which have decayed during the time \[({{t}_{1}}-{{t}_{2}})\]

    A)  \[{{A}_{1}}{{t}_{1}}-{{A}_{2}}{{t}_{2}}\]                

    B)  \[{{A}_{1}}-{{A}_{2}}\]

    C)  \[\left( \frac{{{A}_{1}}-{{A}_{2}}}{\lambda } \right)\]                     

    D)  \[\lambda \,({{A}_{1}}-{{A}_{2}})\]

    Correct Answer: C

    Solution :

                    \[{{A}_{1}}=\lambda {{N}_{1}}\] \[{{A}_{2}}=\lambda {{N}_{2}}\] \[{{N}_{1}}-{{N}_{2}}=\frac{({{A}_{1}}-{{A}_{2}})}{\lambda }\]


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