Correct Answer - Option 4 : n
2 / Z
Concept:
- Bohr’s theory: He proposed that the electrons orbited in a specific orbit with a fixed radius of shells, with a fixed radius.
- According to Bohr's model, the electron would absorb energy in the form of photons to get excited to a higher energy level.
- It derives a radius for the nth excited state of hydrogen-like atoms.
The radius of Bohr's orbit
\(Z = \frac{{{n^2}{h^2}}}{{4{\pi ^2}m{e^2}}} \times \frac{1}{Z}\)
Where n = principal quantum number of orbit, Z = atomic number, h = Plank’s constant, m = Mass of electron, e = elementary charge
Explanation:
- From the above discussion, it is clear that the r is directly proportional to n2.
From Bohr’s relation, r ∝ n2
So the correct option is n2 / Z.