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10 Nov 2019

A hydrogen atom undergoes a transition from the n=5 to n=2state.

a) what are the energy and wavelength of the photon that isemitted?

b) if the angular momentum is conserved and if the Bohr model isused to describe the atom, what must be the angular momentum of thephoton that is emitted? (Quantum mechanics gives a differentresult.)

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Nelly Stracke
Nelly StrackeLv2
27 Apr 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

Consider a system consisting of N noninteracting atoms in asubstance at temperature T and volume V placed in an externalmagnetic field B pointing in the z direction. The magnetic energyof an atom can be taken as
e=-µiB
where µ is the magnetic moment of the atom. In this problem, wewill not consider the detailed contributions to the atomic magneticmoment from both the orbital and electron spin angular momentum;rather we will take the atomic magnetic moment to simply be givenby
µ=-gµBJ/?? in terms of the atomic g-factor, Bohr magneton, and thetotal angular momentum of the atom.

(a) Write the energy per atom noting that the magnetic field is inthe z direction. (b) Given that the magnitude and z component ofthe total angular momentum are
quantized, write the energy per atom in terms of the magneticquantum number mj , indicatingtherangeoftheallowedmjvaluesintermsofj,thequantumnumber associated with the magnitude ofthe total angular momentum. (For electron spin, j = 1/2 and mj = ±1/2.)
(c) How many values of mj are there?

In the Bohr model of the atom, the postulate stating that theorbital angular momentum of the electron is quantized can beinterpreted in which of the following ways?

An integral number of electron wavelengths must fit into theelectron's circular orbit.
Only one electron can exist in each possible electron state.
An electron has a spin of l?/?2.
The atom is composed of a small, positively charged nucleus orbitedby electrons.
An incident photon is completely absorbed when it causes anelectron to move to a higher energy state.

In the Bohr model of the atom, the postulate stating that theorbital angular momentum of the electron is quantized can beinterpreted in which of the following ways?

An integral number of electron wavelengths must fit into theelectron's circular orbit.

Only one electron can exist in each possible electron state.

An electron has a spin of l?/?2.

The atom is composed of a small, positively charged nucleus orbitedby electrons.

An incident photon is completely absorbed when it causes anelectron to move to a higher energy state

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