12th Class Chemistry Nuclear Chemistry / नाभिकीय रसायन Question Bank Critical Thinking Nuclear chemistry

  • question_answer
    Number of a--particles emitted per second by a radioactive element falls to 1/32 of its original value in 50 days. The half-life-period of this elements is                              [AMU 2001]

    A)            5 days                                     

    B)            15 days

    C)            10 days                                   

    D)            20 days

    Correct Answer: C

    Solution :

           T = 50 days, \[{{t}_{1/2}}\] = ?, \[{{N}_{o}}=1,N=\frac{1}{32},\]                    \[N={{N}_{o}}\times {{\left( \frac{1}{2} \right)}^{n}}\] or\[\frac{1}{32}=1\times {{\left( \frac{1}{2} \right)}^{n}},\]                    or \[{{\left( \frac{1}{2} \right)}^{5}}={{\left( \frac{1}{2} \right)}^{n}}\]or n = 5                    \[T={{t}_{1/2}}\times 2\], or \[{{t}_{1/2}}=\frac{50}{5}=10\]days.


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