Question 1

The muon has the same charge as an electron but has a mass that is 207 times greater.The negatively charged muon can bind to a proton to form a new type of hydrogen atom.How does the energy of a muon in the first excited state Em1 of a muonic hydrogen atom compare with the energy of an electron in the first excited state Ee1of a conventional hydrogen atom?

Accepted Answer

A) |Em1|$\approx$|Ee1| 
B) |Em1|$\approx$100|Ee1| 
C) |Em1|$\approx$|Ee1|/100 
D) |Em1|$\approx$200|Ee1| 
E) |Em1|$\approx$|Ee1|/200

Question 2

The radial probability density of a hydrogen atom tells the relative likelihood of finding the electron at a distance r from the nucleus.If ao is the Bohr radius,where is the electron in the 2p state most likely to be found?

Accepted Answer

A) r = ao 
B) r = 2ao 
C) r = 3ao 
D) r = 4ao

Question 3

The period of rotation of electron on the 6-th Bohr orbit is __________ the period of rotation of electron on the 3- rd Bohr orbit.

Accepted Answer

A) equal to 
B) twice 
C) four times 
D) six times 
E) eight times

Question 4

The minimum orbital angular momentum quantum number for the  is

Accepted Answer

A) 0. 
B) 1. 
C) 2. 
D) 3. 
E) 4.

Question 5

A group of hydrogen-like atoms (atoms with only one electron)are in their ground state.Light of increasing intensity is shone at these atoms until the light becomes absorbed by the atoms.The lowest energy of light when this occurs has energy of 40 eV.What is the ground state energy of these atoms?

Accepted Answer

A) 10 eV 
B) 13.6 eV 
C) 30 eV 
D) 40 eV 
E) 53 eV

Question 6

The period of rotation of electron on the second Bohr orbit is

Accepted Answer

A) 0.608 fs. 
B) 1.22 fs. 
C) 3.67 fs. 
D) 4.53 fs. 
E) 5.34 fs.

Question 7

The maximum orbital angular momentum quantum number for the  is

Accepted Answer

A) 0. 
B) 1. 
C) 2. 
D) 3. 
E) 4.

Question 8

Find the wavelength of light emitted by a hydrogen atom when its electron makes the transition from the n = 5 state to the n = 2 state.

Accepted Answer

A) 434 nm 
B) 652 nm 
C) 397 nm 
D) 486 nm 
E) 404 nm

Question 9

The angular frequency of rotation of electron on the second Bohr orbit is

Accepted Answer

A) 3.67 * 1015 rad/sec 
B) 4.98 * 1015 rad/sec 
C) 5.34 * 1015 rad/sec 
D) 5.17 * 1015 rad/sec 
E) 5.71 * 1015 rad/sec

Question 10

If the energy of the orbiting electron in a hydrogen atom is -9.93 * 10-3 eV,what is its quantum number?

Accepted Answer

A) 37 
B) 45 
C) 98 
D) 1370

Question 11

The energy difference between an excited state and the ground state of a system is 0.2 eV.If the population ratio of the excited state to the ground state is 2.9 * 10-4,what is the temperature of the system?

Accepted Answer

A) 300 K 
B) 330 K 
C) 285 K 
D) 315 K

Question 12

What is the radius of the n = 7 level of the Bohr hydrogen atom?

Accepted Answer

A) 2.6 nm 
B) 9.3 nm 
C) 0.53 nm 
D) 0.053 nm 
E) 0.37 nm

Exam 38: Atomic Physics

The radial probability density of a hydrogen atom tells the relative likelihood of finding the electron at a distance r from the nucleus.If a_o is the Bohr radius,where is the electron in the 2p state most likely to be found?

The period of rotation of electron on the 6-th Bohr orbit is __________ the period of rotation of electron on the 3- rd Bohr orbit.

The minimum orbital angular momentum quantum number for the is

A group of hydrogen-like atoms (atoms with only one electron) are in their ground state.Light of increasing intensity is shone at these atoms until the light becomes absorbed by the atoms.The lowest energy of light when this occurs has energy of 40 eV.What is the ground state energy of these atoms?

The period of rotation of electron on the second Bohr orbit is

The maximum orbital angular momentum quantum number for the is

Find the wavelength of light emitted by a hydrogen atom when its electron makes the transition from the n = 5 state to the n = 2 state.

The angular frequency of rotation of electron on the second Bohr orbit is

If the energy of the orbiting electron in a hydrogen atom is -9.93 * 10^-3 eV,what is its quantum number?

The energy difference between an excited state and the ground state of a system is 0.2 eV.If the population ratio of the excited state to the ground state is 2.9 * 10^-4,what is the temperature of the system?

What is the radius of the n = 7 level of the Bohr hydrogen atom?