Question

A hydrogen atom is in the ground state. It absorbs energy and makes a transition to the n = 5 excited state. The atom returns to the ground state by emitting two photons, one in dropping to n = 4 state, and one in further dropping to the ground state. What are the photon wavelengths of (a) the first and (b) the second transitions? The answer is in nm

Name: a hydrogen atom is in the ground state it absorbs energy and makes a transition to the n 5 excited state the atom returns to the ground state by emitting two photons one in dropping to n 4 s 33589
Uploaded: 2022-05-26T11:40:26-08:00
Duration: 3 min 31 s
Channel: Suman K
Description: a hydrogen atom is in the ground state it absorbs energy and makes a transition to the n 5 excited state the atom returns to the ground state by emitting two photons one in dropping to n 4 s 33589

          A hydrogen atom is in the ground state. It absorbs energy and
makes a transition to
the n = 5 excited state. The atom
returns to the ground state by emitting two photons, one in
dropping to n = 4 state, and one in
further dropping to the ground state. What are the photon
wavelengths of (a) the first
and (b) the second transitions?
The answer is in nm

Added by Mark C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Suman K

05/26/2022

Step 1

Given: Initial state (n1) = 5 Final state (n2) = 4 Using the formula: 1/λ = R(1/n1^2 - 1/n2^2), where R is the Rydberg constant (1.097 x 10^7 m^-1) Plugging in the values: 1/λ = 1.097 x 10^7 (1/5^2 - 1/4^2) 1/λ = 1.097 x 10^7 (1/25 - 1/16) 1/λ = 1.097 x 10^7 Show more…

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A hydrogen atom is in the ground state. It absorbs energy and makes a transition to the n = 5 excited state. The atom returns to the ground state by emitting two photons, one in dropping to n = 4 state, and one in further dropping to the ground state. What are the photon wavelengths of (a) the first and (b) the second transitions? The answer is in nm