STANDARDPhysics-Atomic Structure
STANDARD Physics Hydrogen Spectrum MCQ Question
Type: MCQ-numerical-Hard-Class 11
Hydrogen atom from excited state comes to the ground state by emitting a photon of wavelength λ. If R is the Rydberg constant, then the principal quantum number n of the excited state is
A
√(λR/λR - 1)
B
λ/√(λR - 1)
C
√(λk²/λk - 1)
D
√(λR/λ - 1)
Correct Answer
Option A
Detailed Explanation
Using the Rydberg formula, 1/λ = R(1/n₁² - 1/n²). For a transition to the ground state, n₁ = 1. Rearranging gives n = √(λR/λR - 1).
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