Question

The electron in a hydrogen atom makes a transition n₁® n₂, where n₁ and n₂ are the principal quantum numbers of the two states. Assume Bohr model is valid in this case. The frequency of the orbital motion of the electron in the initial state is 1/27 of that in the final state. The possible values of n₁ and n₂ are-

• A. n₁= 6, n₂ = 3
• B. n₁ = 4, n₂ = 2
• C. n₁ = 8, n₂ = 1
• D. n₁ = 3, n₂ = 1

Answer 1

Answer: (D)

n₁ = 3, n₂ = 1

Answer 2

f µ $\frac{1}{n^{3}}$

f₁ = $\frac{f_{2}}{27}$

$\frac{f_{1}}{f_{2}}$= $\left( \frac{n_{2}}{n_{1}} \right)^{3}$= $\frac{1}{27}$