NEET Sample Paper NEET Sample Test Paper-16

  • question_answer 9) The half-life period of a radioactive element X is same as the mean-life time of another radioactive element Y. Initially both of them have the same number of atoms. Then

    A) X and Y have the same decay rate initially

    B) X and Y decay at the same rate always

    C) Y will decay at a faster rate than X

    D) X will decay at a faster rate than Y

    Correct Answer: C

    Solution :

    \[\frac{0.693}{{{\lambda }_{X}}}=\frac{1}{{{\lambda }_{Y}}}\]or \[{{\lambda }_{Y}}>{{\lambda }_{X}}\] Activity \[=A=\lambda N\Rightarrow A\propto \lambda \Rightarrow {{A}_{y}}>{{A}_{x}}\] As activity of Y is greater so, Y will decay faster than X. Hence, the correction option is (c).

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