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In which of the following system, will the radius of the first orbit (n=1) be minimum?(a) Doubly ionized lithium(b) Singly ionized helium(c) Deuterium atom(d) Hydrogen atomI got this question in an online interview.This interesting question is from Alpha-Particle Scattering and Rutherford’s Nuclear Model of Atom topic in portion Atoms of Physics – Class 12

Answer»

Correct choice is (a) Doubly ionized LITHIUM

Best EXPLANATION: The EQUATION is given as:

r = \(\frac {h^2}{2\pi^2 m k Z e^2}\)

Hence, of the given atoms/ions, (Z = 3) is maximum for doubly ionized lithium, so the radius of its first orbit is MINIMUM.



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