RAJASTHAN PMT Rajasthan - PMT Solved Paper-2002

  • question_answer
    22.      Activity of a radioactive element is 103dis /sec. Its life is 1 sec. After 3 sec. its activity will be:

    A)  1000 dis/sec                     

    B)  250 dis/sec

    C)  125 dis/sec        

    D)         none of these

    Correct Answer: C

    Solution :

    Remaining amount \[N={{N}_{0}}{{\left( \frac{1}{2} \right)}^{t/{{t}_{1/2}}}}\] \[\begin{align}   & ={{10}^{3}}{{\left( \frac{1}{2} \right)}^{\frac{3}{1}}} \\  & ={{10}^{3}}\times \frac{1}{3}=125 \\ \end{align}\] Activity = 125 dis/sec


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