BHU PMT BHU PMT (Screening) Solved Paper-2007

  • question_answer
    In which of the following systems will the radius of the first orbit (n = 1) be minimum?

    A)  Deuterium atom

    B)  Hydrogen atom

    C)  Doubly ionized lithium

    D)  Singly ionized helium

    Correct Answer: C

    Solution :

                     Radius of nth Bohr's orbit of hydrogen like atom, \[{{r}_{n}}\propto \frac{{{n}^{2}}}{Z}\] where, Z, is atomic number. For first orbit,\[n=1\] \[\therefore \]  \[{{r}_{n}}\propto \frac{1}{Z}\] Now, for radius of first orbit to be minimum, its atomic number must be greater. Here in the problem, atomic number Z is greater for doubly ionized lithium and is Z = 3, Hence, for this system the radius of first orbit will be minimum.


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