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NEET Physics Nuclear Physics And Radioactivity NEET PYQ-Nuclear Physics

  • question_answer
    The decay constant of a radio isotope 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 \[({{t}_{1}}-{{t}_{2}})\]                                                                                          [AIPMT (M) 2010]

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

    B)       \[{{A}_{1}}-{{A}_{2}}\]

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

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

    Correct Answer: C

    Solution :

               
    \[{{A}_{1}}=\lambda {{N}_{1}}\]
    \[{{A}_{2}}=\lambda {{N}_{2}}\]
       \[{{N}_{1}}-{{N}_{2}}=\left[ \frac{{{A}_{1}}-{{A}_{2}}}{\lambda } \right]\]


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