2. Questions Bank
  3. JEE Main & Advanced
  4. Physics
  5. Nuclear Physics And Radioactivity

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

  • question_answer
    If the atom \[_{100}F{{m}^{257}}\] follows the Bohr model and the radius of \[_{100}F{{m}^{257}}\] is n times the Bohr radius, then find n                                                                                       [IIT-JEE (Screening) 2003]

    A)            100

    B)            200

    C)            4    

    D)            \[\frac{1}{4}\]

    Correct Answer: D

    Solution :

               \[({{r}_{m}})=\left( \frac{{{m}^{2}}}{Z} \right)\,(0.53{\AA})=(n\times 0.53{\AA})\]  Þ \[\frac{{{m}^{2}}}{Z}=n\]                    m = 5 for \[_{100}F{{m}^{257}}\]  (the outermost shell)                    and z = 100 Þ  \[n=\frac{{{(5)}^{2}}}{100}=\frac{1}{4}\]


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