1
In which of the following systems will the radius of the first orbit (n = 1) be minimum?
- doubly ionized lithium
- singly ionized helium
- deuterium atom
- hydrogen atom
Answer
(1) doubly ionized lithium
Solution
For a hydrogen-like species, rn = 0.529 n2Z A
For n = 1, r1 1Z
Z: Li2+ = 3, He+ = 2, deuterium = 1, hydrogen = 1
∴ r1 is minimum for doubly ionized lithium (r1 = 0.5293 0.18 A).
Answer: (1)
AIPMT 2003