JEE Main & Advanced Physics Nuclear Physics And Radioactivity Question Bank Critical Thinking

  • question_answer
    From a newly formed radioactive substance (Half life 2 hours), the intensity of radiation is 64 times the permissible safe level. The minimum time after which work can be done safely from this source is [IIT 1983; SCRA 1996; DCE 2000; DPMT 2005]

    A)            6 hours                                   

    B)            12 hours

    C)            24 hours                                 

    D)            128 hours

    Correct Answer: B

    Solution :

               \[\frac{N}{{{N}_{0}}}={{\left( \frac{1}{2} \right)}^{n}}\Rightarrow \frac{1}{64}={{\left( \frac{1}{2} \right)}^{6}}={{\left( \frac{1}{2} \right)}^{n}}\Rightarrow n=6.\] After 6 half lives intensity emitted will be safe. \ Total time taken \[=6\times 2=12\,hrs.\]


You need to login to perform this action.
You will be redirected in 3 sec spinner