of the velocity in (c) to the speed of light? 2. In 1913 Neils Bohr proposed a model for the hydrogen, now known as the Bohr atom, that explained the emission spectrum of the hydrogen atom as well as one-electron ions like Het. The model permits the electron to orbit the nucleus by a set of discrete orbits where each orbit is associated with an integer value n, known as the principal quantum number. Depending upon the orbital occupied by the electron, the energy of the hydrogen atom (or one-electron ions) can only assume the following discrete values 1terd 30 tF aconstant En n2 prineiple 2 S1 where RH 2.18x10-18 J is the Rydberg constant and Z is the number of protons in the nucleus.(a) List the energies of the hydrogen atom for the first three orbits (n-1, 2, and 3).*(b) Compute the energy absorbed by the hydrogen atom when the electron is excited from the lowest orbit (n 1) to the third lowest orbit (n 3). (c) Calculate the frequency v of the photon E = y absorbed by the hydrogen atom when the electron is excited fromn=1 to n =3, as in part (b), where Planck's constant h is 6.626x10-34 Js. (d) Does the frequency in part (c) correspond to visible light? (e) Compute the ionization energy of the hydrogen atom, that is (T) 1 the energy required to move an electron from n= 1 to n = oo. 3. Use the Maple worksheet "Structure of the Atom" to answer the following

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Chapter4: Introduction To Quantum Mechanics
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of the velocity in (c) to the speed of light?
2. In 1913 Neils Bohr proposed a model for the hydrogen, now known as the
Bohr atom, that explained the emission spectrum of the hydrogen atom as
well as one-electron ions like Het. The model permits the electron to orbit
the nucleus by a set of discrete orbits where each orbit is associated with
an integer value n, known as the principal quantum number. Depending
upon the orbital occupied by the electron, the energy of the hydrogen
atom (or one-electron ions) can only assume the following discrete values
1terd 30 tF
aconstant
En
n2
prineiple
2 S1
where RH 2.18x10-18 J is the Rydberg constant and Z is the number
of protons in the nucleus.(a) List the energies of the hydrogen atom for
the first three orbits (n-1, 2, and 3).*(b) Compute the energy absorbed
by the hydrogen atom when the electron is excited from the lowest orbit
(n 1) to the third lowest orbit (n 3). (c) Calculate the frequency v of
the photon E = y absorbed by the hydrogen atom when the electron is
excited fromn=1 to n =3, as in part (b), where Planck's constant h is
6.626x10-34 Js. (d) Does the frequency in part (c) correspond to visible
light? (e) Compute the ionization energy of the hydrogen atom, that is
(T)
1
the energy required to move an electron from n= 1 to n = oo.
3. Use the Maple worksheet "Structure of the Atom" to answer the following
Transcribed Image Text:of the velocity in (c) to the speed of light? 2. In 1913 Neils Bohr proposed a model for the hydrogen, now known as the Bohr atom, that explained the emission spectrum of the hydrogen atom as well as one-electron ions like Het. The model permits the electron to orbit the nucleus by a set of discrete orbits where each orbit is associated with an integer value n, known as the principal quantum number. Depending upon the orbital occupied by the electron, the energy of the hydrogen atom (or one-electron ions) can only assume the following discrete values 1terd 30 tF aconstant En n2 prineiple 2 S1 where RH 2.18x10-18 J is the Rydberg constant and Z is the number of protons in the nucleus.(a) List the energies of the hydrogen atom for the first three orbits (n-1, 2, and 3).*(b) Compute the energy absorbed by the hydrogen atom when the electron is excited from the lowest orbit (n 1) to the third lowest orbit (n 3). (c) Calculate the frequency v of the photon E = y absorbed by the hydrogen atom when the electron is excited fromn=1 to n =3, as in part (b), where Planck's constant h is 6.626x10-34 Js. (d) Does the frequency in part (c) correspond to visible light? (e) Compute the ionization energy of the hydrogen atom, that is (T) 1 the energy required to move an electron from n= 1 to n = oo. 3. Use the Maple worksheet "Structure of the Atom" to answer the following
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