NEET AIPMT SOLVED PAPER 2003

  • 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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