JEE Main202225 Jul 2022Evening ShiftPhysicsAtomic PhysicsActual
Hydrogen atom from excited state comes to the ground by emitting a photon of wavelength λ . The value of principal quantum number n of the excited state will be : ( R : Rydberg constant)
Options
- Aλ R λ - 1
- Bλ R λ R - 1
- Cλ λ R - 1
- Dλ R 2 λ R - 1
Correct answer
B. λ R λ R - 1
Step-by-step solution
When an electron jumps from a n t h orbit to ground state, using Rydberg formula, 1 λ = R 1 n 1 2 - 1 n 2 2 In this case, n 1 = 1 and n 2 = n . Therefore, ⇒ 1 λ = R 1 1 2 - 1 n 2 ⇒ n = λ R λ R - 1