A) Deuterium atom
B) Hydrogen atom
C) Doubly ionized lithium
D) Singly ionized helium
Correct Answer: A
Solution :
Radius of nth Bohrs orbit of hydrogen like atom, \[{{r}_{n}}\propto \frac{{{n}^{2}}}{Z}\] |
Where, \[Z\] s 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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